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    Tytuł:
    Unilateral Contact Applications Using Fem Software
    Autorzy:
    Stavroulaki, M. E.
    Stavroulakis, G. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907898.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    nonsmooth analysis
    constrained optimization
    contact problem
    Opis:
    Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 115-125
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New optimization based method for estimating priority weights
    Autorzy:
    Grzybowski, A. Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/122397.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    AHP
    eigenvalue method
    priority vector
    constrained optimization
    Opis:
    The estimation of priority vectors from pairwise comparison matrices is a core of the Analytic Hierarchy Process. Perhaps the most popular approach for deriving the priority weights is the right eigenvalue method (EM). Despite its popularity, various shortcomings of the EM have been described in literature. In this paper a new method for deriving priority vectors is proposed. This method makes use of the idea underlying the EM but in difference to the latter, the new one is optimization based. Important features of this new technique are studied via computer simulations and illustrated by some numerical examples.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 33-44
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Trust region methods with hierarchical finite element models for PDE-constrained optimization
    Autorzy:
    Kirchner, A.
    Meidner, D.
    Vexler, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/206108.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    trust region
    model hierarchy
    finite elements
    PDE-constrained optimization
    Opis:
    In this paper, a Hierarchical Trust Region Algorithm for solving PDE-constrained optimization problems is developed. A hierarchy of finite element meshes is used to define a hierarchy of quadratic models for the approximation of the discrete reduced cost functional on the finest mesh. The proposed algorithm simultaneously controls the choice of the model and the size of the trust region radius. Application of the trust region convergence theory allows for proving that every accumulation point of the sequence produced by the algorithm is a stationary point of the discretized problem. Numerical examples illustrate the behavior of the method and show a considerable reduction of computation time compared to the standard Newton trust region scheme.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 1019-1042
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constraints in allocation of thrusters in a DP simulator
    Autorzy:
    Zalewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/135012.pdf
    Data publikacji:
    2017
    Wydawca:
    Akademia Morska w Szczecinie. Wydawnictwo AMSz
    Tematy:
    dynamic positioning
    thrust allocation
    convex optimization
    constrained optimization
    DP simulator
    thrusters
    Opis:
    Vessels conducting dynamic positioning (DP) operations are usually equipped with thruster configurations that enable the generation of force and torque. Some thrusters in these configurations are deliberately redundant to minimize consequences of thruster failures, enable overactuated control and increase the safety in operation. On such vessels, a thrust allocation system must be used to distribute the control actions determined by the DP controller among the thrusters. The optimal allocation of the thrusters’ settings in DP systems is a problem that can be solved by convex optimization methods depending on the criteria and constraints used. This paper presents a quadratic programming (QP) method, adopted in a DP control model, which is being developed in Maritime University of Szczecin for ship simulation purposes.
    Źródło:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2017, 52 (124); 45-50
    1733-8670
    2392-0378
    Pojawia się w:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of adaptive multivariable Generalized Predictive Control to a HVAC system in real time
    Autorzy:
    Gulan, M.
    Salaj, M.
    Rohal’-Ilkiv, B
    Powiązania:
    https://bibliotekanauki.pl/articles/229355.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    predictive control
    multivariable systems
    constrained optimization
    HVAC system
    cascade control
    Opis:
    This paper presents the application of a Multivariable Generalized Predictive Controller (MGPC) for simultaneous temperature and humidity control in a Heating, Ventilating and Air- Conditioning (HVAC) system. The multivariable controlled process dynamics is modeled using a set of MISO models on-line identified from measured input-output process data. The controller synthesis is based on direct optimization of selected quadratic cost function with respect to amplitude and rate input constraints. Efficacy of the proposed adaptive MGPC algorithm is experimentally demonstrated on a laboratory-scale model of HVAC system. To control the airconditioning part of system the designed multivariable predictive controller is considered in a cascade dual-rate control scheme with PID auxiliary controllers.
    Źródło:
    Archives of Control Sciences; 2014, 24, 1; 67-84
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained optimization of the brushless DC motor using the salp swarm algorithm
    Autorzy:
    Knypiński, Łukasz
    Devarepalli, Ramesh
    Le Menach, Yvonnick
    Powiązania:
    https://bibliotekanauki.pl/articles/2135734.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    brushless DC motor
    constrained optimization
    finite element analysis
    salp swarm algorithm
    Opis:
    This paper presents an algorithm and optimization procedure for the optimization of the outer rotor structure of the brushless DC (BLDC) motor. The optimization software was developed in the Delphi Tiburón development environment. The optimization procedure is based on the salp swarm algorithm. The effectiveness of the developed optimization procedurewas compared with genetic algorithm and particle swarmoptimization algorithm. The mathematical model of the device includes the electromagnetic field equations taking into account the non-linearity of the ferromagnetic material, equations of external supply circuits and equations of mechanical motion. The external penalty function was introduced into the optimization algorithm to take into account the non-linear constraint function.
    Źródło:
    Archives of Electrical Engineering; 2022, 71, 3; 775--787
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maximizing performance of linear model predictive control of glycemia for T1DM subjects
    Autorzy:
    Dodek, Martin
    Miklovicová, Eva
    Powiązania:
    https://bibliotekanauki.pl/articles/2134885.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    diabetes mellitus
    artificial pancreas
    glycemia control
    predictive control
    constrained optimization
    control feasibility
    Opis:
    The primary objective of this paper is the custom design of an effective, yet relatively easy-to-implement, predictive control algorithm to maintain normoglycemia in patients with type 1 diabetes. The proposed patient-tailorable empirical model featuring the separated feedback dynamics to model the effect of insulin administration and carbohydrate intake was proven to be suitable for the synthesis of a high-performance predictive control algorithm for artificial pancreas. Within the introduced linear model predictive control law, the constraints were applied to the manipulated variable in order to reflect the technical limitations of insulin pumps and the typical nonnegative nature of the insulin administration. Similarly, inequalities constraints for the controlled variable were also assumed while anticipating suppression of hypoglycemia states during the automated insulin treatment. However, the problem of control infeasibility has emerged, especially if one uses too tight constraints of the manipulated and the controlled variable concurrently. To this end, exploiting the Farkas lemma, it was possible to formulate the helper linear programming problem based on the solution of which this infeasibility could be identified and the optimality of the control could be restored by adapting the constraints. This adaptation of constraints is asymmetrical, thus one can force to fully avoid hypoglycemia at the expense of mild hyperglycemia. Finally, a series of comprehensive in-silico experiments were carried out to validate the presented control algorithm and the proposed improvements. These simulations also addressed the control robustness in terms of the intersubject variability and the meal announcements uncertainty.
    Źródło:
    Archives of Control Sciences; 2022, 32, 2; 305--333
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A design framework for rigorous constrained EM-driven optimization of miniaturized antennas with circular polarization
    Autorzy:
    Bekasiewicz, Adrian
    Koziel, Slawomir
    Powiązania:
    https://bibliotekanauki.pl/articles/220503.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    axial ratio
    antenna miniaturization
    circular polarization antenna
    constrained optimization
    EM-driven design
    Opis:
    Compact radiators with circular polarization are important components of modern mobile communication systems. Their design is a challenging process which requires maintaining simultaneous control over several performance figures but also the structure size. In this work, a novel design framework for multi-stage constrained miniaturization of antennas with circular polarization is presented. The method involves sequential optimization of the radiator in respect of selected performance figures and, eventually, the size. Optimizations are performed with iteratively increased number of design constraints. Numerical efficiency of the method is ensured using a fast local-search algorithm embedded in a trust-region framework. The proposed design framework is demonstrated using a compact planar radiator with circular polarization. The optimized antenna is characterized by a small size of 271 mm2 with 37% and 47% bandwidths in respect of 10 dB return loss and 3 dB axial ratio, respectively. The structure is benchmarked against the state-of-the-art circular polarization antennas. Numerical results are confirmed by measurements of the fabricated antenna prototype.
    Źródło:
    Metrology and Measurement Systems; 2019, 26, 1; 41-52
    0860-8229
    Pojawia się w:
    Metrology and Measurement Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Advances in development of dedicated evolutionary algorithms for large non-linear constrained optimization problems
    Autorzy:
    Głowacki, M.
    Orkisz, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/31343110.pdf
    Data publikacji:
    2013
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    evolutionary algorithms
    large non-linear constrained optimization
    solution efficiency increase
    algorytmy ewolucyjne
    Opis:
    Efficient optimization algorithms are of great importance in many scientific and engineering applications. This paper considers development of dedicated Evolutionary Algorithms (EA) based approach for solving large, non-linear, constrained optimization problems. The EA are precisely understood here as decimal-coded Genetic Algorithms consisting of three basic operators: selection, crossover and mutation, followed by several newly developed calculation speed-up techniques. Efficiency increase of the EA computations may be obtained in several ways, including simple concepts proposed here like: solution smoothing and balancing, a posteriori solution error analysis, non-standard use of distributed and parallel calculations, and step-by-step mesh refinement. Efficiency of the proposed techniques has been evaluated using several benchmark tests. These preliminary tests indicate significant speed-up of the large optimization processes involved. Considered are applications of the EA to the sample problem of residual stresses analysis in elastic-plastic bodies being under cyclic loadings, and to a wide class of problems resulting from the Physically Based Approximation (PBA) of experimental data.
    Źródło:
    IPPT Reports on Fundamental Technological Research; 2013, 4; 25-29
    2299-3657
    Pojawia się w:
    IPPT Reports on Fundamental Technological Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sensitivity analysis for state constrained optimal control problems
    Autorzy:
    Malanowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/206110.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sensitivity analysis
    cone-constrained optimization problems
    nonlinear optimal control
    first order state constraints
    Opis:
    A sensitivity result for cone-constrained optimization problem in abstract Hilbert spaces is obtained, using a slight modification of Haraux's theorem on differentiability of the metric projection onto polyhedric sets. This result is applied to sensitivity analysis for nonlinear optimal control problems subject to first order state constraints.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 1043-1058
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Derivative-free nonlinear optimization filter simplex
    Autorzy:
    Correia, A.
    Matias, J.
    Mestre, P.
    Serodio, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/908145.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja nieliniowa
    optymalizacja ograniczona
    metoda filtru
    nonlinear constrained optimization
    filter methods
    direct search methods
    Opis:
    The filter method is a technique for solving nonlinear programming problems. The filter algorithm has two phases in each iteration. The first one reduces a measure of infeasibility, while in the second the objective function value is reduced. In real optimization problems, usually the objective function is not differentiable or its derivatives are unknown. In these cases it becomes essential to use optimization methods where the calculation of the derivatives or the verification of their existence is not necessary: direct search methods or derivative-free methods are examples of such techniques. In this work we present a new direct search method, based on simplex methods, for general constrained optimization that combines the features of simplex and filter methods. This method neither computes nor approximates derivatives, penalty constants or Lagrange multipliers.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 679-688
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained optimization of line-start PM motor based on the gray wolf optimizer
    Autorzy:
    Knypińskia, Łukasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1841785.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne PAN
    Tematy:
    heuristic algorithms
    gray wolf algorithm
    constrained optimization
    external penalty function
    line-start PM synchronous motor
    Opis:
    This paper presents the algorithm and computer software for constrained optimization based on the gray wolf algorithm. The gray wolf algorithm was combined with the external penalty function approach. The optimization procedure was developed using Borland Delphi 7.0. The developed procedure was then applied to design of a line-start PM synchronous motor. The motor was described by three design variables which determine the rotor structure. The multiplicative compromise function consisted of three maintenance parameters of designed motor and one non-linear constraint function was proposed. Next, the result obtained for the developed procedure (together with the gray wolf algorithm) was compared with results obtained using: (a) the particle swarm optimization algorithm, (b) the bat algorithm and (c) the genetic algorithm. The developed optimization algorithm is characterized by good convergence, robustness and reliability. Selected results of the computer simulation are presented and discussed.
    Źródło:
    Eksploatacja i Niezawodność; 2021, 23, 1; 1-10
    1507-2711
    Pojawia się w:
    Eksploatacja i Niezawodność
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust extremum seeking for a second order uncertain plant using a sliding mode controller
    Autorzy:
    Solis, Cesar
    Clempner, Julio
    Poznyak, Alexander
    Powiązania:
    https://bibliotekanauki.pl/articles/330477.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    convex optimization
    extremum seeking
    continuous time gradient algorithm
    dynamical constrained optimization
    unknown function
    optymalizacja wypukła
    poszukiwanie ekstremum
    algorytm gradientowy
    optymalizacja ograniczona
    Opis:
    This paper suggests a novel continuous-time robust extremum seeking algorithm for an unknown convex function constrained by a dynamical plant with uncertainties. The main idea of the proposed method is to develop a robust closed-loop controller based on sliding modes where the sliding surface takes the trajectory around a zone of the optimal point. We assume that the output of the plant is given by the states and a measure of the function. We show the stability and zone-convergence of the proposed algorithm. In order to validate the proposed method, we present a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 703-712
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local stability conditions for discrete-time cascade locally recurrent neural networks
    Autorzy:
    Patan, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907772.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sieć lokalnie rekurencyjna
    stabilność
    stabilizacja
    uczenie się
    optymalizacja ograniczona
    locally recurrent neural network
    stability
    stabilization
    learning
    constrained optimization
    Opis:
    The paper deals with a specific kind of discrete-time recurrent neural network designed with dynamic neuron models. Dynamics are reproduced within each single neuron, hence the network considered is a locally recurrent globally feedforward. A crucial problem with neural networks of the dynamic type is stability as well as stabilization in learning problems. The paper formulates local stability conditions for the analysed class of neural networks using Lyapunov's first method. Moreover, a stabilization problem is defined and solved as a constrained optimization task. In order to tackle this problem, a gradient projection method is adopted. The efficiency and usefulness of the proposed approach are justified by using a number of experiments.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 23-34
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multi-constrained topology optimization using constant criterion surface algorithm
    Autorzy:
    Mrzygłód, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201310.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    multi-constrained topology optimization
    stress and fatigue constraints
    constant criterion surface algorithm
    Opis:
    This paper sets out to describe a multi-constrained approach to topology optimization of structures. In the optimization, a constant criterion surface algorithm and the multi-constraint procedure is used. The multi-constraint procedure consists of constraints normalization and equivalent design space assembling. The work is illustrated by an example of the L-shaped domain optimization with the horizontal line support and complex loads. The example takes into consideration stress, fatigue and compliance constraints. The separate and simultaneous application of constraints resulted in significant differences in structure topology layouts. The application of a fatigue constraint gave more conservative results when compared to static stress or compliance limitations. The multi-constrained approach allowed effectively lowering the mass of the structure while satisfying all constraints.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 2; 229-236
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact controllability of a string to rest with a moving boundary
    Autorzy:
    Gugat, Martin
    Powiązania:
    https://bibliotekanauki.pl/articles/970107.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    pde constrained optimization
    optimal control of pdes
    optimal boundary control
    wave equation
    analytic solution
    exact controllability
    moving boundaries
    mining elevator
    Opis:
    We consider the problem of steering a finite string to the zero state in finite time from a given initial state by controlling the state at one boundary point while the other boundary point moves. As a possible application we have in mind the optimal control of a mining elevator, where the length of the string changes during the transportation process. During the transportation process, oscillations of the elevator-cable can occur that can be damped in this way. We present an exact controllability result for Dirichlet boundary control at the fixed end of the string that states that there exist exact controls for which the oscillations vanish after finite time. For the result we assume that the movements are Lipschitz continuous with a Lipschitz constant, whose absolute value is smaller than the wave speed. In the result, we present the minimal time, for which exact controllability holds, this time depending on the movement of the boundary point. Our results are based upon travelling wave solutions. We present a representation of the set of successful controls that steer the system to rest after finite time as the solution set of two point-wise equalities. This allows for a transformation of the optimal control problem to a form where no partial differential equation appears. This representation enables interesting insights into the structure of the successful controls. For example, exact bang-bang controls can only exist if the initial state is a simple function and the initial velocity is zero.
    Źródło:
    Control and Cybernetics; 2019, 48, 1; 69-87
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An automatic collision avoidance algorithm for multiple marine surface vehicles
    Autorzy:
    Hedjar, Ramdane
    Bounkhel, Messaoud
    Powiązania:
    https://bibliotekanauki.pl/articles/329948.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    unmanned surface vehicle
    obstacle avoidance
    control allocation
    constrained convex optimization
    bezzałogowy pojazd nawodny
    omijanie przeszkody
    układ alokacji
    optymalizacja wypukła
    Opis:
    In recent years, unmanned surface vehicles have been widely used in various applications from military to civil domains. Seaports are crowded and ship accidents have increased. Thus, collision accidents occur frequently mainly due to human errors even though international regulations for preventing collisions at seas (COLREGs) have been established. In this paper, we propose a real-time obstacle avoidance algorithm for multiple autonomous surface vehicles based on constrained convex optimization. The proposed method is simple and fast in its implementation, and the solution converges to the optimal decision. The algorithm is combined with the PD-feedback linearization controller to track the generated path and to reach the target safely. Forces and azimuth angles are efficiently distributed using a control allocation technique. To show the effectiveness of the proposed collision-free path-planning algorithm, numerical simulations are performed.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 759-768
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On some new phenomena in state-constrained optimal control if ODEs as well as PDEs are involved
    Autorzy:
    Pesch, H. J.
    Rund, A.
    Wahl, V.
    Wendl, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/969885.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control of partial differential equations
    ODE-PDE-constrained optimization
    state constraints
    non-local state-constraints
    integro-state constraints
    optimal control problems for integro-differential equations
    jump conditions
    Opis:
    In this paper we investigate a new class of optimal control problems with ODE as well as PDE constraints. We would like to call them "hypersonic rocket car problems", since they were inspired, on the one hand, by the well known rocket car problem from the early days of ODE optimal control, on the other hand by a recently investigated flight path trajectory optimization problem for a hypersonic aircraft. The hypersonic rocket car problems mimic the latter's coupling structure, yet in a strongly simplified form. They can therefore be seen as prototypes of ODE-PDE control problems. Due to their relative simplicity they allow to a certain degree to obtain analytical solutions and insights into the structure of the adjoints, which would currently be unthinkable with complex real life problems. Our main aim is to derive and verify the necessary optimality conditions. Most of the obtained results bear a lot of similarities with state constrained ODE optimal control problems, yet we also observed some new phenomena.
    Źródło:
    Control and Cybernetics; 2010, 39, 3; 647-660
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optymalizacja transformacji wyników pomiarów bloków kadłuba statku z uwzględnieniem ograniczeń
    Constrained optimisation of transformation of ship block measurements
    Autorzy:
    Kniat, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/155129.pdf
    Data publikacji:
    2010
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    optymalizacja
    transformacja układu współrzędnych
    pomiary kadłuba statku
    montaż kadłuba statku
    komputerowe wspomaganie projektowania (CAD)
    constrained optimization
    coordinate system transformation
    ship hull measurements
    ship hull assembly
    computer-aided design (CAD)
    Opis:
    Artykuł przedstawia algorytm optymalizujący transformację wyników pomiarów bloków i sekcji kadłuba statku, która jest wykonywana w celu oceny przydatności montażowej bloków i sekcji podczas ostatniej fazy montażu kadłuba w suchym doku lub na pochylni. Ponieważ każdy blok jest mierzony w innym układzie odniesienia, istnieje konieczność transformacji wyników pomiarów do wspólnego układu przyjętego w modelu CAD. Zakłada się, że transformacja nie pogarsza dokładności wyników pomiarów i zachowuje odległości pomiędzy zmierzonymi punktami. Zaproponowany algorytm optymalizacji transformacji wyników pomiarów minimalizuje sumy odległości pomiędzy mierzonymi punktami, a korespondującymi punktami w modelu CAD, uwzględniając jedno z dwóch możliwych ograniczeń: wspólna płaszczyzna, albo wspólna oś. W artykule zaprezentowano zarówno opis metody optymalizacji, jak i przykład transformacji punktów zmierzonych na styku dwóch sekcji dna podwójnego statku. We wnioskach opisano zalety i wady przedstawionego algorytmu, jak również kierunki dalszych badań.
    The paper presents the constrained optimisation algorithm for transformation of measurements taken on ship blocks and sections to asses their feasibility for the final stage of assembly in a dry dock or on a slipway. As each block is measured in different coordinate system it is necessary to make transformations and bring results to a common CAD model. Transformation must keep distances between the measured points and must not lose accuracy. The analysis of transformed measurements requires first to check if blocks were manufactured within tolerances assumed in the design and then to compare if the two neighbour blocks can be joined. The optimisation is aimed at minimising the sum of distances between the transformed and corresponding points in a CAD model. The constraint is alignment of chosen axes or planes. The paper contains both description of the transformation algorithms and an example of transformation of points measured on two neighbour sections of a ship double bottom. In the summary advantages and disadvantages of the algorithm are described and directions for further research are given.
    Źródło:
    Pomiary Automatyka Kontrola; 2010, R. 56, nr 6, 6; 597-601
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modern dynamic positioning (DP) system of ORP ‘Kormoran’ — class mine destroyer
    Nowoczesny system dynamicznego pozycjonowania (DP) niszczyciela min ORP „Kormoran”
    Autorzy:
    Zalewski, P.
    Haberek, R.
    Chmieliński, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/222609.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Marynarki Wojennej. Wydział Dowodzenia i Operacji Morskich
    Tematy:
    DP
    dynamic positioning
    thrust allocation
    constrained convex optimization
    ORP ‘Kormoran’
    pozycjonowanie dynamiczne
    alokacja pędników
    optymalizacja wypukła z ograniczeniami
    ORP „Kormoran”
    Opis:
    The paper presents the dynamic positioning system (DP), particularly its thruster allocation model, designed for ORP ‘Kormoran’, a Polish mine destroyer built for the Polish Navy in Remontowa Shipbuilding S.A. in Gdańsk. The ORP ‘Kormoran’ ship is the newest and best equipped minehunter ship in Europe. The main task of the new Polish mine destroyer is to search for, classify, identify and combat marine mines and improvised underwater explosives, recognize waterways, transport mines, deploy mines and provide remote control of self-propelled anti-mine platforms. The dynamic positioning control system of the ship presented in the article was constructed by Autocomp Management Ltd. from Szczecin, the only in Poland and one of the few producers of dynamic ship positioning systems in the world.
    W artykule zaprezentowano system dynamicznego pozycjonowania statku (DP) zaprojektowany dla ORP „Kormoran”, polskiego niszczyciela min zbudowanego dla Marynarki Wojennej RP w Gdańskiej Stoczni Remontowej Shipbuilding S.A. Okręt ORP „Kormoran” to najnowszy i najlepiej obecnie wyposażony okręt przeciwminowy w Europie. Głównym zadaniem nowego polskiego niszczyciela min jest poszukiwanie, klasyfikacja, identyfikacja i zwalczanie min morskich oraz improwizowanych podwodnych ładunków wybuchowych, rozpoznanie torów wodnych, przeprowadzanie jednostek przez akweny zagrożenia minowego, stawianie min oraz zdalne sterowanie samobieżnymi platformami przeciwminowymi. Przedstawiony w artykule system dynamicznego pozycjonowania statku został wykonany przez Autocomp Management Sp. z o.o. ze Szczecina, jedynego w Polsce i jednego z nielicznych na świecie producentów systemów dynamicznego pozycjonowania statku.
    Źródło:
    Zeszyty Naukowe Akademii Marynarki Wojennej; 2018, R. 59 nr 4 (215), 4 (215); 143-155
    0860-889X
    Pojawia się w:
    Zeszyty Naukowe Akademii Marynarki Wojennej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimization methods in modeling the mechanical properties of heavy steel plates
    Metody optymalizacyjne w modelowaniu własności mechanicznych blach grubych
    Autorzy:
    Grzybowski, A. Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/355794.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    heavy steel plate
    mechanical properties
    optimization
    chance constrained programming
    Opis:
    The paper is devoted to an optimization approach to a problem of statistical modeling of mechanical properties of heavy steel plates during a real industrial manufacturing process. The approach enables the manufacturer to attain a specific set of the final product properties by optimizing the alloying composition within the grade specifications. Because this composition has to stay in the agreement with earlier indicated specifications, it leads to the large system of linear constraints, and the problem itself can be expressed in the form of linear programming (LP) task. It turns out however, that certain of the constraints contain the coefficients which have to be estimated on the base of the data gathered in the production process and as such they are uncertain. Consequently, the initial optimization task should be modeled as so-called Chance Constrained Programming problem (CCP), which is a special class within the stochastic programming problems. The paper presents mathematical models of the optimization problem that result from both approaches and indicates differences which are important for the decision makers in the production practice. Some examples illustrating the differences in solutions resulting from LP and CCP models are presented as well. Although the statistical analysis presented in this paper is based on the data gathered in the ISD Czestochowa Steelworks, the proposed approach can be adopted in any other process of steel production.
    Praca poświęcona jest optymalizacyjnemu podejściu do modelowania wybranych własności mechanicznych blach grubych w trakcie rzeczywistego procesu produkcyjnego. Proponowane podejście umozliwia producentowi uzyskanie ustalonego zbioru własności blach stalowych z jednoczesna optymalizacja ich składu chemicznego w zakresie określonym poprzez normy definiujące dany gatunek. Poniewaz ów skład musi pozostawać w zgodzie z wczesniej wskazanymi w zamówieniu specyfikacjami prowadzi to do dużego układu liniowych ograniczeń, a sam problem można wyrazic w postaci zadania programowani liniowego. W praktyce okazuje się, że pewne z tych ograniczen zawierają współczynniki, które musza być oszacowane na podstawie danych zebranych w procesie produkcyjnym i jako takie ich wartości sa niepewne. W konsekwencji wyjściowy problem powinien zostać sformułowany jako zadanie programowania stochastycznego. Wpracy przedstawia sie modele optymalizacyjne wynikajace z obu podejsc i wskazuje na różnice wazne z punktu widzenia podejmowania decyzji w praktyce produkcyjnej. Prezentowane są równiez przykłady ilustrujace różnice w rozwiązaniach uzyskiwanych z pomoca tych dwóch modeli. Chociaż analiza statystyczna przedstawiona w pracy oparta jest na danych zebranych w ISD Huta Częstochowa, to proponowane podejście może być zaadaptowane w dowolnym innym procesie produkcji stali.
    Źródło:
    Archives of Metallurgy and Materials; 2012, 57, 4; 971-979
    1733-3490
    Pojawia się w:
    Archives of Metallurgy and Materials
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dobór optymalnej taryfy telekomunikacyjnej przy użyciu programowania w logice z ograniczeniami
    Solving the optimal telecommunication rate plan configuration problem with constrained logic programming
    Autorzy:
    Witkowski, Jakub
    Kamiński, Bogumił
    Jakuczun, Wit
    Powiązania:
    https://bibliotekanauki.pl/articles/587282.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Ekonomiczny w Katowicach
    Tematy:
    Optymalizacja doboru taryfy
    Optymalizacja kombinatoryczna
    Programowanie w logice z ograniczeniami
    Combinatorial optimization.
    Constrained logic programming
    Rate plan configuration
    Opis:
    Praca opisuje algorytm optymalizacyjny rozwiązujący w efektywny sposób problem wyboru optymalnej taryfy w telefonii komórkowej. Ze względu na bardzo dużą liczbę możliwości łączenia usług telekomunikacyjnych w taryfy rozważany problem optymalizacyjny jest złożonym nieliniowym zagadnieniem programowania kombinatorycznego. W niniejszej pracy pokazujemy, że tego typu zadanie może zostać efektywnie rozwiązane przy pomocy programowania w logice z ograniczeniami (constraint logic programming). Wykorzystanie takiego podejścia dodatkowo pozwala na stworzenie modelu, który może być łatwo modyfikowany. Zapewnia to możliwość jego łatwego wykorzystania w praktyce biznesowej, gdzie składowe taryf telekomunikacyjnych podlegają częstym zmianom.
    We present an efficient algorithm that solves the telecommunication rate plan optimization problem. It is a complex and non-linear combinatorial programming task if we take into account realistic structures of offers available for mobile telephony subscribers. In the paper we show that constrained logic programming is an efficient approach to finding an optimal solution of this problem. Additionally, application of constrained logic programming allows us to formulate the problem in a simple way that provides a low-cost maintenance of the solution in practical applications when the rate plan structure often changes.
    Źródło:
    Studia Ekonomiczne; 2015, 235; 253-265
    2083-8611
    Pojawia się w:
    Studia Ekonomiczne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Supervisory predictive control and on-line set-point optimization
    Autorzy:
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/929583.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie predykcyjne
    sterowanie nieliniowe
    linearyzacja
    model niepewności
    sterowność wymuszona
    optymalizacja
    predictive control
    nonlinear control
    linearisation
    model uncertainty
    constrained control
    set-point optimization
    Opis:
    The subject of this paper is to discuss selected effective known and novel structures for advanced process control and optimization. The role and techniques of model-based predictive control (MPC) in a supervisory (advanced) control layer are first shortly discussed. The emphasis is put on algorithm efficiency for nonlinear processes and on treating uncertainty in process models, with two solutions presented: the structure of nonlinear prediction and successive linearizations for nonlinear control, and a novel algorithm based on fast model selection to cope with process uncertainty. Issues of cooperation between MPC algorithms and on-line steady-state set-point optimization are next discussed, including integrated approaches. Finally, a recently developed two-purpose supervisory predictive set-point optimizer is discussed, designed to perform simultaneously two goals: economic optimization and constraints handling for the underlying unconstrained direct controllers.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 483-495
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Motion tracking of a rigid-flexible link robotic system in an underactuated control mode
    Autorzy:
    Jarzębowska, Elżbieta
    Augustynek, Krzysztof
    Urbaś, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/27311387.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    manipulator
    actuator failure
    optimization
    computational procedure for constrained dynamics
    method CoPCoD
    awaria siłownika
    optymalizacja
    metoda CoPCoD
    procedura obliczeniowa dla dynamiki z ograniczeniami
    Opis:
    The paper presents its contribution to tracking control design of mechanical systems in underactuated mode conditions, i.e. when the number of actuators is less than the number of possible control inputs. Fully actuated mechanical systems are quite well-researched and controller designs are well-developed for them as well. However, due to costs, weight, design, and performance regimes or due to an actuator failure, the underactuated control mode is required in applications. With the aid of the computational procedure for constrained dynamics (CoPCoD), the constrained dynamics, i.e. the reference motion dynamics, and tracking control in an underactuated mode are designed for an example of a three-link planar manipulator model with rigid and flexible links. A dynamic optimization problem is formulated in the paper to obtain optimal time courses of manipulator joint coordinates in underactuated mode conditions in order to apply them to a manipulator driving links controller.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 3; art. no. e144620
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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