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Wyświetlanie 1-15 z 175
Tytuł:
A backstepping approach to ship course control
Autorzy:
Witkowska, A.
Tomera, M.
Śmierzchalski, R.
Powiązania:
https://bibliotekanauki.pl/articles/911245.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie nieliniowe
algorytm genetyczny
sterowanie statkiem
funkcja Lapunowa
backstepping
nonlinear control
genetic algorithms
ship control
Lyapunov function
Opis:
As an object of course control, the ship is characterised by a nonlinear function describing static manoeuvring characteristics that reflect the steady-state relation between the rudder deflection and the rate of turn of the hull. One of the methods which can be used for designing a nonlinear ship course controller is the backstepping method. It is used here for designing two configurations of nonlinear controllers, which are then applied to ship course control. The parameters of the obtained nonlinear control structures are tuned to optimise the operation of the control system. The optimisation is performed using genetic algorithms. The quality of operation of the designed control algorithms is checked in simulation tests performed on the mathematical model of a tanker. In order to obtain reference results to be used for comparison with those recorded for nonlinear controllers designed using the backstepping method, a control system with the PD controller is examined as well.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 73-85
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/970245.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
optimal control
nonlinear ODEs
state constraints
parametric problems
stability and sensitivity analysis
Opis:
In a series of the recent papers of the author, it was shown that the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Źródło:
Control and Cybernetics; 2007, 36, 3; 711-726
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A computationally efficient stable dual-mode type nonlinear predictive control algorithm
Autorzy:
Ławryńczuk, M.
Tadej, W.
Powiązania:
https://bibliotekanauki.pl/articles/971003.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
linearyzacja
optymalizacja
stabilność
nonlinear model predictive control
dual-mode model predictive control
process control
linearisation
optimisation
quadratic programming
stability
constraints
terminal set
Opis:
This paper describes a computationally efficient (sub-optimal) nonlinear predictive control algorithm. The algorithm uses a modified dual-mode approach which guarantees closed-loop stability. In order to reduce the computational burden, instead of online nonlinear optimisation used in the classical dual-mode control scheme, a nonlinear model of the plant is linearised on-line and a quadratic programming problem is solved. Calculation of the terminal set and implementation steps of the algorithm are detailed, especially for input-output models, which are widely used in practice.
Źródło:
Control and Cybernetics; 2008, 37, 1; 99-132
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A control Lyapunov function approach to adaptive control of HIV-1 infection
Autorzy:
Lemos, J. M.
Barao, M. S.
Powiązania:
https://bibliotekanauki.pl/articles/229511.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear adaptive control
HIV-1 infection
immunology
exact linearization
control Lyapunov function
Opis:
This paper presents an algorithm for nonlinear adaptive control of the viral load in HIV-1 infection. The infection model considered is a reduced complexity nonlinear state-space model with two state variables, that represent the plasma concentration of uninfected and infected CD4+ T-cells of the human immune system. The viral load is assumed to be proportional to the concentration of infected cells. First, a change of variables that exactly linearizes the system is obtained. For the resulting linear system the manipulated variable is obtained by state feedback. To compensate for the uncertainty in the infection parameter of the model an estimator based on a Control Lyapunov Function is designed.
Źródło:
Archives of Control Sciences; 2012, 22, 3; 273-284
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Mesh-Independence Principle for Quadratic Penalties Applied to Semilinear Elliptic Boundary Control
Autorzy:
Grossman, Christian
Winkler, Max
Powiązania:
https://bibliotekanauki.pl/articles/1373554.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
optimal boundary control
mesh-independence principle
penalty methods for control constraints
weakly nonlinear elliptic equations
Opis:
The quadratic loss penalty is a well known technique for optimization and control problems to treat constraints. In the present paper they are applied to handle control bounds in a boundary control problems with semilinear elliptic state equations. Unlike in the case of finite dimensional optimization for infinite dimensional problems the order of convergence could only be roughly estimated, but numerical experiments revealed a clearly better convergence behavior with constants independent of the dimension of the used discretization. The main result in the present paper is the proof of sharp convergence bounds for both, the finite und infinite dimensional problem with a mesh-independence in case of the discretization. Further, to achieve an efficient realization of penalty methods the principle of control reduction is applied, i.e. the control variable is represented by the adjoint state variable by means of some nonlinear function. The resulting optimality system this way depends only on the state and adjoint state. This system is discretized by conforming linear finite elements. Numerical experiments show exactly the theoretically predicted behavior of the studied penalty technique.
Źródło:
Schedae Informaticae; 2012, 21; 9-26
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
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
Tytuł:
A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics
Autorzy:
Rafajłowicz, E.
Styczeń, K.
Rafajłowicz, W.
Powiązania:
https://bibliotekanauki.pl/articles/331421.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
programowanie nieliniowe
sterowanie optymalne
równanie różniczkowe cząstkowe
filter approach
nonlinear programming
optimal control
partial differential equations
Opis:
Our aim is to adapt Fletcher's filter approach to solve optimal control problems for systems described by nonlinear Partial Differential Equations (PDEs) with state constraints. To this end, we propose a number of modifications of the filter approach, which are well suited for our purposes. Then, we discuss possible ways of cooperation between the filter method and a PDE solver, and one of them is selected and tested.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 313-326
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Look Adaptation in Active Noise Control Systems
Nowe spojrzenie na adaptację w układach aktywnego tłumienia hałasu
Autorzy:
Figwer, J.
Błażej, M.
Powiązania:
https://bibliotekanauki.pl/articles/151821.pdf
Data publikacji:
2003
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
adaptacja
układy aktywnego tłumienia hałasu
hałas
tłumienie hałasu
active noise control
chaotic dynamics
adaptive systems
nonlinear systems
Opis:
In the paper a new look at adaptation in active noise control (ANC) systems is presented. The adaptation is interpreted as a nonlinear feedback. This nonlinearity could be manifested in behaviour of ANC systems with occurence of complex periodic and chaoti time-domain responses. Results of real world experiments with adaptive ANC systems used to create a local zone of quiet in a laboratory enclosure showing apparently this behaviour are included.
W artykule przedstawiono nowe spojrzenie na adaptację w układach tłumienia hałasu (ATH). Zwrócono uwagę na to, że adaptacja wprowadza do układu ATH nieliniowe sprzężenie zwrotne, którego konsekwencją jest pojawienie się złożonych okresowych lub chaotycznych odpowiedzi czasowych układów ATH. Zamieszczono przykłady takich odpowiedzi w wyniku doświadczeń laboratoryjnych, w których układy ATH wykorzystywano do tworzenia lokalnych przestrzennych stref ciszy w pomieszczeniu zamkniętym.
Źródło:
Pomiary Automatyka Kontrola; 2003, R. 49, nr 11, 11; 18-21
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel method for the design of switching surfaces for discretized MIMO nonlinear systems
Autorzy:
Luis-Delgado, J. D.
Al-Hadithi, B. M.
Jiménez, A.
Powiązania:
https://bibliotekanauki.pl/articles/331143.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
discrete sliding mode
variable structure control
nonlinear control
optimal control
MIMO system
sterowanie dyskretne
sterowanie ślizgowe
sterowanie o zmiennej strukturze
sterowanie nieliniowe
sterowanie optymalne
system MIMO
Opis:
Designing variable structure control with sliding mode (VSC-SM) control schemes needs a switching function or a sliding surface which guarantees the global stability of the closed-loop system. Despite the fact that a wide range of design approaches has been proposed for solving this mathematical problem, the number of proposed methodologies for nonlinear systems is not very extensive, especially for discrete time nonlinear MIMO systems, and most of them require some coordinate system transformation. Therefore, it is not an easy task to find a design scheme that can be applied to discrete time nonlinear MIMO systems. The proposed methodology introduces a mathematical tool: a switching surface equation for a class of MIMO nonlinear systems through an explicit equation without any coordinate transformation. This equation makes use of an implicit linearizing process via the Taylor expansion that allows the use of linear procedures for the design of switching surfaces and the forward Euler method to obtain a discrete time dynamics representation. An illustrative example is included to show the advantages of the proposed design methodology.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 5-17
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A numerically efficient fuzzy MPC algorithm with fast generation of the control signal
Autorzy:
Marusak, Piotr M.
Powiązania:
https://bibliotekanauki.pl/articles/1838187.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
model predictive control
fuzzy system
fuzzy control
nonlinear control
sterowanie predykcyjne
system rozmyty
sterowanie rozmyte
sterowanie nieliniowe
Opis:
Model predictive control (MPC) algorithms are widely used in practical applications. They are usually formulated as optimization problems. If a model used for prediction is linear (or linearized on-line), then the optimization problem is a standard, i.e., quadratic, one. Otherwise, it is a nonlinear, in general, nonconvex optimization problem. In the latter case, numerical problems may occur during solving this problem, and the time needed to calculate control signals cannot be determined. Therefore, approaches based on linear or linearized models are preferred in practical applications. A novel, fuzzy, numerically efficient MPC algorithm is proposed in the paper. It can offer better performance than the algorithms based on linear models, and very close to that of the algorithms based on nonlinear optimization. Its main advantage is the short time needed to calculate the control value at each sampling instant compared with optimization-based numerical algorithms; it is a combination of analytical and numerical versions of MPC algorithms. The efficiency of the proposed approach is demonstrated using control systems of two nonlinear control plants: the first one is a chemical CSTR reactor with a van de Vusse reaction, and the second one is a pH reactor.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 59-71
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A robust model free controller for a class of SISO nonaffine nonlinear systems: Application to an electropneumatic actuator
Autorzy:
Boubakir, Ahsene
Labiod, Salim
Boudjema, Fares
Powiązania:
https://bibliotekanauki.pl/articles/229193.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamic inversion control
model free controller
nonaffine nonlinear systems
singular perturbation theory
Opis:
This paper presents a robust model free controller (RMFC) for a class of uncertain continuous-time single-input single-output (SISO) minimum-phase nonaffine-in-control systems. Firstly, the existence of an unknown dynamic inversion controller that can achieve control objectives is demonstrated. Afterwards, a fast approximator is designed to estimate as best as possible this dynamic inversion controller. The proposed robust model free controller is an equivalent realization of the designed fast approximator. The perturbation theory and Tikhonov’s theorem are used to analyze the stability of the overall closed-loop system. The performance of the developped controller are verified experimentally in the position control of a pneumatic actuator system.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 437-458
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A stability based neural networks controller design method
Autorzy:
Song, J.
Xu, X.
He, X.
Powiązania:
https://bibliotekanauki.pl/articles/206120.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sieć neuronowa
stabilność
sterowanie nieliniowe
neural networks control
nonlinear control
sliding mode
stability
Opis:
The use of neural networks in control systems can be seen as a natural step in the evolution of control methodology to meet new challenges. Many attempts have been made to apply the neural networks to deal with non-linearities and uncertainties of the control systems. Research in neural network applications to control can be classified according to the major methods depending on structures of the control system, such as NN-based NON-linear System Identification, NN-based Supervised Control, NN-based Direct Control, NN-based Indirect Control, NN-based Adaptive Control, NN-based Self-learning Control, NN-based Fuzzy Control, and NN Variable Structure Control. All these control methods cannot, however, effectively guarantee system stability, i.e. none of these neural network controls, except for NN-based Variable Structure Control, is based on system stability. This also limits the application and development of the neural networks in control theory. The paper shows the effort to solve this difficulty and give a way for the design method of the stability based neural networks controller using Lyapunov second stability theorem. This kind of controller can not only guarantee system stability, but also fully compensate for the influence of system uncertainties and non-linearities.Simulation results also show the effectiveness of the controller.
Źródło:
Control and Cybernetics; 1998, 27, 1; 119-133
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A stabilization method of inhomogeneous ladder networks with nonlinear elements
Autorzy:
Skruch, P.
Powiązania:
https://bibliotekanauki.pl/articles/229983.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
electric ladder network
nonlinear circuit
stabilization
feedback control
Opis:
In the paper, different structures of electric ladder networks are considered: RC, RL, and RLC. Such systems are composed of resistors, inductors and capacitors connected in series. The elements of the network are not identical and have nonlinear characteristics. The network's dynamic behavior can be mathematically described by nonlinear differential equations. A class of robust feedback controls is designed to stabilize the system. The asymptotic stability of the closed-loop system is analyzed and proved by the use of Lyapunov functionals and LaSalle's invariance principle. The results of computer simulations are included to verify theoretical analysis and mathematical formulation.
Źródło:
Archives of Control Sciences; 2011, 21, 3; 313-329
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sufficient condition for small-time local attainability of a set
Autorzy:
Krastanov, M.
Powiązania:
https://bibliotekanauki.pl/articles/205840.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nieliniowy system sterowania
nonlinear control systems
small-time local attainability of a set
Opis:
The notion of small-time local attainability (STLA) of a closed set with respect to a nonlinear control system is discussed and a new sufficient STLA condition is proved.
Źródło:
Control and Cybernetics; 2002, 31, 3; 739-750
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Active fault tolerant control of nonlinear systems: the cart-pole example
Autorzy:
Bonfe, M.
Castaldi, P.
Mimmo, N.
Simani, S.
Powiązania:
https://bibliotekanauki.pl/articles/907604.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
detekcja uszkodzeń
lokalizacja uszkodzeń
filtracja nieliniowa
sterowanie tolerujące uszkodzenia
fault detection
fault isolation
nonlinear filter
nonlinear geometric approach
fault tolerant control
cart pole nonlinear model
Opis:
This paper describes the design of fault diagnosis and active fault tolerant control schemes that can be developed for nonlinear systems. The methodology is based on a fault detection and diagnosis procedure relying on adaptive filters designed via the nonlinear geometric approach, which allows obtaining the disturbance de-coupling property. The controller reconfiguration exploits directly the on-line estimate of the fault signal. The classical model of an inverted pendulum on a cart is considered as an application example, in order to highlight the complete design procedure, including the mathematical aspects of the nonlinear disturbance de-coupling method based on the nonlinear differential geometry, as well as the feasibility and efficiency of the proposed approach. Extensive simulations of the benchmark process and Monte Carlo analysis are practical tools for assessing experimentally the robustness and stability properties of the developed fault tolerant control scheme, in the presence of modelling and measurement errors. The fault tolerant control method is also compared with a different approach relying on sliding mode control, in order to evaluate benefits and drawbacks of both techniques. This comparison highlights that the proposed design methodology can constitute a reliable and robust approach for application to real nonlinear processes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 441-455
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 175

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