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    Wyświetlanie 1-13 z 13
    Tytuł:
    Nonsmooth optimization control based on a sandwich model with hysteresis for piezo-positioning systems
    Autorzy:
    Yang, Sen
    Tan, Yonghong
    Dong, Ruili
    Tan, Qingyuan
    Powiązania:
    https://bibliotekanauki.pl/articles/24200686.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optimization control
    hysteresis
    piezoelectric actuator
    sandwich system
    histereza
    siłownik piezoelektryczny
    układ warstwowy
    Opis:
    A nonsmooth optimization control (NOC) based on a sandwich model with hysteresis is proposed to control a micropositioning system (MPS) with a piezoelectric actuator (PEA). In this control scheme, the hysteresis phenomenon inherent in the PEA is described by a Duhem submodel embedded between two linear dynamic submodels that describe the behavior of the drive amplifier and the flexible hinge with load, respectively, thus constituting a sandwich model with hysteresis. Based on this model, a nonsmooth predictor for sandwich systems with hysteresis is constructed. To avoid the complicated online search for the optimal value of the generalized gradient at a nonsmooth point, the method of the so-called weighted estimation of generalized gradient is proposed. In order to compensate for the model error caused by model uncertainty, a model error compensator (MEC) is integrated into the online optimization control strategy. Afterwards, the stability of the control system is analyzed based on Lyapunov’s theory. Finally, the proposed NOC-MEC method is verified on an MPS with a PEA, and the corresponding experimental results are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 3; 449--461
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Iterative learning control — monotonicity and optimization
    Autorzy:
    Owens, D. H.
    Daley, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/907916.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja
    monotoniczność
    sterowanie odporne
    optimization
    monotonicity
    robust control
    Opis:
    The area if Iterative Learning Control (ILC) has great potential for applications to systems with a naturally repetitive action where the transfer of data from repetition (trial or iteration) can lead to substantial improvements in tracking performance. There are several serious issues arising from the "2D" structure of ILC and a number of new problems requiring new ways of thinking and design. This paper introduces some of these issues from the point of view of the research group at Sheffield University and concentrates on linear systems and the potential for the use of optimization methods and switching strategies to achieve effective control.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 3; 279-293
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of an Isope-Type Dual Algorithm for Optimizing Control and Nonlinear Optimization
    Autorzy:
    Tadej, W.
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908338.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja nieliniowa
    sterowanie optymalizujące
    nonlinear optimization
    optimizing control
    duality
    condition number
    Opis:
    First results concerning important theoretical properties of the dual ISOPE (Integrated System Optimization and Parameter Estimation) algorithm are presented. The algorithm applies to on-line set-point optimization in control structures with uncertainty in process models and disturbance estimates, as well as to difficult nonlinear constrained optimization problems. Properties of the conditioned (dualized) set of problem constraints are investigated, showing its structure and feasibility properties important for applications. Convergence conditions for a simplified version of the algorithm are derived, indicating a practically important threshold value of the right-hand side of the conditioning constraint. Results of simulations are given confirming the theoretical results and illustrating properties of the algorithms.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 429-457
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An approximate solution of the affine-quadratic control problem based on the concept of optimal damping
    Autorzy:
    Veremey, Evgeny I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838175.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    feedback
    stability
    damping control
    functional
    optimization
    sprzężenie zwrotne
    kontrola tłumienia
    optymalizacja
    Opis:
    The paper is devoted to a particular case of the nonlinear and nonautonomous control law design problem based on the application of the optimization approach. Close attention is paid to the controlled plants, which are presented by affine-control mathematical models characterized by integral quadratic functionals. The proposed approach to controller design is based on the optimal damping concept firstly developed by V.I. Zubov in the early 1960s. A modern interpretation of this concept allows us to construct effective numerical procedures of control law synthesis initially oriented to practical implementation. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterization of a set of admissible items for this functional. As a particular case, a new method of this parameterization has been developed, which can be used for constructing an approximate solution to the classical optimization problem. Applicability and effectiveness of the proposed approach are confirmed by a practical numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 5-15
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An approximate solution of the affine-quadratic control problem based on the concept of optimal damping
    Autorzy:
    Veremey, Evgeny I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838180.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    feedback
    stability
    damping control
    functional
    optimization
    sprzężenie zwrotne
    kontrola tłumienia
    optymalizacja
    Opis:
    The paper is devoted to a particular case of the nonlinear and nonautonomous control law design problem based on the application of the optimization approach. Close attention is paid to the controlled plants, which are presented by affine-control mathematical models characterized by integral quadratic functionals. The proposed approach to controller design is based on the optimal damping concept firstly developed by V.I. Zubov in the early 1960s. A modern interpretation of this concept allows us to construct effective numerical procedures of control law synthesis initially oriented to practical implementation. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterization of a set of admissible items for this functional. As a particular case, a new method of this parameterization has been developed, which can be used for constructing an approximate solution to the classical optimization problem. Applicability and effectiveness of the proposed approach are confirmed by a practical numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 5-15
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multi-layer health-aware economic predictive control of a pasteurization pilot plant
    Autorzy:
    Karimi Pour, F.
    Puig, V.
    Ocampo-Martinez, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/330591.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model predictive control
    two layers control scheme
    economic optimization
    health aware controller
    sterowanie predykcyjne
    optymalizacja ekonomiczna
    kontroler zorientowany
    Opis:
    This paper proposes two different health-aware economic predictive control strategies that aim at minimizing the damage of components in a pasteurization plant. The damage is assessed with a rainflow-counting algorithm that allows estimating the components' fatigue. By using the results obtained from this algorithm, a simplified model that characterizes the health of the system is developed and integrated into the predictive controller. The overall control objective is modified by adding an extra criterion that takes into account the accumulated damage. The first strategy is a single-layer predictive controller with an integral action to eliminate the steady-state error that appears when adding the extra criterion. In order to achieve the best minimal accumulated damage and operational costs, the single-layer approach is improved with a multi-layer control scheme, where the solution of the dynamic optimization problem is obtained from the model in two different time scales. Finally, to achieve the advisable trade-off between minimal accumulated damage and operational costs, both control strategies are compared in simulation over a utility-scale pasteurization plant.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 97-110
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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:
    Actuator fault tolerance in control systems with predictive constrained set-point optimizers
    Autorzy:
    Marusak, P. M.
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/929879.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie odporne na błędy
    sterowanie predykcyjne
    optymalizacja
    system nieliniowy
    fault tolerant control
    model predictive control
    set-point optimization
    nonlinear system
    Opis:
    Mechanisms of fault tolerance to actuator faults in a control structure with a predictive constrained set-point optimizer are proposed. The structure considered consists of a basic feedback control layer and a local supervisory set-point optimizer which executes as frequently as the feedback controllers do with the aim to recalculate the set-points both for constraint feasibility and economic performance. The main goal of the presented reconfiguration mechanisms activated in response to an actuator blockade is to continue the operation of the control system with the fault, until it is fixed. This may be even long-term, if additional manipulated variables are available. The mechanisms are relatively simple and consist in the reconfiguration of the model structure and the introduction of appropriate constraints into the optimization problem of the optimizer, thus not affecting the numerical effectiveness. Simulation results of the presented control system for a multivariable plant are provided, illustrating the efficiency of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 539-551
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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:
    An Algorithm for Construction of varepsilon-Value Functions for the Bolza Control Problem
    Autorzy:
    Jacewicz, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/908335.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja nieliniowa
    sterowanie optymalne
    nonlinear optimization
    Bolza problem
    optimal control
    Hamilton-Jacobi equation
    dynamic programming
    varepsilon-value function
    approximate minimum
    Opis:
    The problem considered is that of approximate numerical minimisation of the non-linear control problem of Bolza. Starting from the classical dynamic programming method of Bellman, an varepsilon-value function is defined as an approximation for the value function being a solution to the Hamilton-Jacobi equation. The paper shows how an varepsilon-value function which maintains suitable properties analogous to the original Hamilton-Jacobi value function can be constructed using a stable numerical algorithm. The paper shows the numerical closeness of the approximate minimum to the infimum of the Bolza functional.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 391-428
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Suboptimal fault tolerant control design with the use of discrete optimization
    Autorzy:
    Kowalczuk, Z.
    Oliński, K. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/929873.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie optymalne
    system odporny na uszkodzenia
    model nieliniowy
    badania operacyjne
    optymalizacja dyskretna
    optimal control
    fault tolerant systems
    nonlinear model
    operations research
    discrete optimization
    Opis:
    This paper presents a concept of designing fault tolerant control systems with the use of suboptimal methods. We assume that a given (nonlinear) dynamical process is described in a state space. The method consists in searching (at the off-line stage) for a trajectory of operational points of the system state space. The sought trajectory can be constrained by certain conditions, which can express faults or failures already detected. Within this approach, we are able to use the autonomous dynamics of the process in order to minimize a control cost index (a sub-optimality property). The search itself is based on finding a cheapest path in a graph structure, which represents the system’s dynamics described in the state space. Such a cheapest path (if it exists) represents the sought trajectory. Another (on-line) design stage consists in tracking this trajectory by an executive controller.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 561-568
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A multivariable multiobjective predictive controller
    Autorzy:
    Ben Aicha, F.
    Bouani, F.
    Ksouri, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/331360.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    closed loop performance
    coupled multivariable system
    generalized predictive control
    multiobjective optimization
    weighted sum method
    NSGA-II
    układ wielowymiarowy
    sterowanie predykcyjne
    optymalizacja wielokryterialna
    metoda sumy ważonej
    Opis:
    Predictive control of MIMO processes is a challenging problem which requires the specification of a large number of tuning parameters (the prediction horizon, the control horizon and the cost weighting factor). In this context, the present paper compares two strategies to design a supervisor of the Multivariable Generalized Predictive Controller (MGPC), based on multiobjective optimization. Thus, the purpose of this work is the automatic adjustment of the MGPC synthesis by simultaneously minimizing a set of closed loop performances (the overshoot and the settling time for each output of the MIMO system). First, we adopt the Weighted Sum Method (WSM), which is an aggregative method combined with a Genetic Algorithm (GA) used to minimize a single criterion generated by the WSM. Second, we use the Non- Dominated Sorting Genetic Algorithm II (NSGA-II) as a Pareto method and we compare the results of both the methods. The performance of the two strategies in the adjustment of multivariable predictive control is illustrated by a simulation example. The simulation results confirm that a multiobjective, Pareto-based GA search yields a better performance than a single objective GA.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 35-45
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Method for Constructing ε-value Functions for The Bolza Problem of Optimal Control
    Autorzy:
    Pustelnik, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911140.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja nieliniowa
    sterowanie optymalne
    równanie Hamiltona-Jacobiego
    programowanie dynamiczne
    wartość funkcji
    nonlinear optimization
    Bolza problem
    optimal control
    Hamilton-Jacobi equation
    dynamic programming
    value function
    approximate minimum
    Opis:
    The problem considered is that of approximate minimisation of the Bolza problem of optimal control. Starting from Bellman's method of dynamic programming, we define the ε-value function to be an approximation to the value function being a solution to the Hamilton-Jacobi equation. The paper shows an approach that can be used to construct an algorithm for calculating the values of an ε-value function at given points, thus approximating the respective values of the value function.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 177-186
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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