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Wyświetlanie 1-15 z 25
Tytuł:
Optimal feedback control proportional to the system state can be found for non-causal descriptor systems (a remark on a paper by P. C. Müller)
Autorzy:
Kurina, G. K.
Powiązania:
https://bibliotekanauki.pl/articles/908507.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
optimal feedback control
non-causal descriptor systems
Opis:
Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Müller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 591-593
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An information based approach to stochastic control problems
Autorzy:
Bania, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/330505.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stochastic control
feedback control
information
entropy
sterowanie stochastyczne
sprzężenie zwrotne
entropia
Opis:
An information based method for solving stochastic control problems with partial observation is proposed. First, information-theoretic lower bounds of the cost function are analysed. It is shown, under rather weak assumptions, that reduction in the expected cost with closed-loop control compared with the best open-loop strategy is upper bounded by a non-decreasing function of mutual information between control variables and the state trajectory. On the basis of this result, an information based control (IBC) method is developed. The main idea of IBC consists in replacing the original control task by a sequence of control problems that are relatively easy to solve and such that information about the system state is actively generated. Two examples of the IBC operation are given. It is shown that the method is able to find an optimal solution without using dynamic programming at least in these examples. Hence the computational complexity of IBC is substantially smaller than that of dynamic programming, which is the main advantage of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 23-34
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On attaining the prescribed quality of a controlled fourth order system
Autorzy:
Kapustyan, V.
Maksimov, V.
Powiązania:
https://bibliotekanauki.pl/articles/329889.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
auxiliary model
feedback control
online reconstruction
model pomocniczy
sprzężenie zwrotne
rekonstrukcja
Opis:
In this paper, we discuss a method of auxiliary controlled models and its application to solving some robust control problems for a system described by differential equations. As an illustration, a system of nonlinear differential equations of the fourth order is used. A solution algorithm, which is stable with respect to informational noise and computational errors, is presented. The algorithm is based on a combination of online state/input reconstruction and feedback control methods.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 1; 75-85
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On one algorithm for solving the problem of source function reconstruction
Autorzy:
Maksimov, V.
Powiązania:
https://bibliotekanauki.pl/articles/907761.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
rekonstrukcja
funkcja źródła
sterowanie
sprzężenie zwrotne
reconstruction
source function
feedback control
Opis:
In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated. Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure for solving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). At every step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robust to perturbations in problems data.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 239-247
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Identification of Parasitic Feedback Disturbances for Linear Lumped Parameter Systems
Autorzy:
Maksimov, V.
Pandolfi, L.
Powiązania:
https://bibliotekanauki.pl/articles/908079.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie ze sprzężeniem zwrotnym
wskaźnik uszkodzeń
input identification
feedback control
fault detection
Opis:
We study the problem of identification of an input to a linear finite-dimensional system. We assume that the input has a feedback form, which is related to a problem often encountered in fault detection. The method we use is to embed the identification problem in a class of inverse problems of dynamics for controlled systems. Two algorithms for identification of a feedback matrix based on the method of feedback control with a model are constructed. These algorithms are stable with respect to noise-corrupted observations and computational errors.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 835-858
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Input reconstruction by feedback control for the Schlögl and FitzHugh–Nagumo equations
Autorzy:
Maksimov, Vyacheslav
Trlötzsch, Fredi
Powiązania:
https://bibliotekanauki.pl/articles/329903.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
semilinear parabolic equation
input reconstruction
feedback control
równanie paraboliczne
równanie semiliniowe
sprzężenie zwrotne
Opis:
Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory. This system includes as particular cases the Schlögl model and the FitzHugh–Nagumo equations. A numerical method is suggested that is based on techniques of feedback control. An error analysis is performed. Numerical examples confirm the theoretical predictions.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 5-22
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimax LQG control
Autorzy:
Petersen, I. R.
Powiązania:
https://bibliotekanauki.pl/articles/908390.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ stochastyczny
sterowanie odporne
sterowanie minimaksowe
stochastic uncertain system
minimax control
LQG control
risk-sensitive control
output-feedback control
robust control
Opis:
This paper presents an overview of some recent results concerning the emerging theory of minimax LQG control for uncertain systems with a relative entropy constraint uncertainty description. This is an important new robust control system design methodology providing minimax optimal performance in terms of a quadratic cost functional. The paper first considers some standard uncertainty descriptions to motivate the relative entropy constraint uncertainty description. The minimax LQG problem under consideration is further motivated by analysing the basic properties of relative entropy. The paper then presents a solution to a worst case control system performance problem which can be generalized to the minimax LQG problem. The solution to this minimax LQG control problem is found to be closely connected to the problem of risk-sensitive optimal control.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 309-323
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Motion planning and feedback control for a unicycle in a way point following task: The VFO approach
Autorzy:
Michałek, M.
Kozłowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/929993.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
planowanie ruchu
sterowanie zamknięte
pole wektorowe
unicycle
way point following
motion planning
feedback control
vector fields
Opis:
This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of way-points which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any interpolation of way-points leading to simplified task description and its subsequent realization. The motion planning as well as the motion realization stage are based on the Vector-Field-Orientation (VFO) approach applied here to a new task. The unique features of the resultant VFO control system, namely, predictable vehicle transients, fast error convergence, vehicle directing effect together with very simple controller parametric synthesis, may prove to be useful in practically motivated motion tasks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 533-545
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An SQP trust region method for solving the discrete-time linear quadratic control problem
Autorzy:
Mostafa, E. M. E.
Powiązania:
https://bibliotekanauki.pl/articles/331409.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
programowanie sekwencyjne
programowanie kwadratowe
system dyskretno-czasowy
output feedback control design
sequential quadratic programming
trust region method
Opis:
In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible solution to initiate the proposed SQP trust region method. To demonstrate the effectiveness of the method, some numerical results are presented in detail.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 353-363
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Proper feedback compensators for a strictly proper plant by polynomial equations
Autorzy:
Callier, F. M.
Kraffer, F.
Powiązania:
https://bibliotekanauki.pl/articles/908450.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowy układ stacjonarny
sprzężenie zwrotne
macierz wielomianowa
równanie wielomianowe
linear time-invariant feedback control systems
polynomial matrix systems
row-column-reduced polynomial matrices
feedback compensator design
flexible belt device
Opis:
We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observer-based controller design of time-delay systems with an interval time-varying delay
Autorzy:
Thuan, M. V.
Phat, V. N.
Trinh, H.
Powiązania:
https://bibliotekanauki.pl/articles/331338.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sprzężenie zwrotne
opóźnienie czasowo zależne
liniowa nierówność macierzowa
funkcjonał Lapunowa-Krasowskiego
stabilność wykładnicza
observer based feedback control
interval time-varying delay
linear matrix inequality
Lyapunov-Krasovskii functional
exponential stability
Opis:
This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed \alfa-convergence rate. The design of an observer based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 921-927
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neural network based feedback linearization control of a servo-hydraulic vehicle suspension system
Autorzy:
Pedro, J. O.
Dahunsi, O. A.
Powiązania:
https://bibliotekanauki.pl/articles/907825.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sieć neuronowa
sterowanie bezpośrednie
sterowanie ze sprzężeniem zwrotnym
regulacja PID
komfort jazdy
układ zawieszenia
neural networks
direct adaptive control
feedback linearization control
PID control
ride comfort
suspension system
servo-hydraulics
Opis:
This paper presents the design of a neural network based feedback linearization (NNFBL) controller for a two degree-offreedom (DOF), quarter-car, servo-hydraulic vehicle suspension system. The main objective of the direct adaptive NNFBL controller is to improve the system's ride comfort and handling quality. A feedforward, multi-layer perceptron (MLP) neural network (NN) model that is well suited for control by discrete input-output linearization (NNIOL) is developed using input-output data sets obtained from mathematical model simulation. The NN model is trained using the Levenberg- Marquardt optimization algorithm. The proposed controller is compared with a constant-gain PID controller (based on the Ziegler-Nichols tuning method) during suspension travel setpoint tracking in the presence of deterministic road disturbance. Simulation results demonstrate the superior performance of the proposed direct adaptive NNFBL controller over the generic PID controller in rejecting the deterministic road disturbance. This superior performance is achieved at a much lower control cost within the stipulated constraints.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 137-147
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy feedback linearizing controller and its equivalence with the fuzzy nonlinear internal model control structure
Autorzy:
Boukezzoula, R.
Galichet, S.
Foulloy, L.
Powiązania:
https://bibliotekanauki.pl/articles/929632.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie rozmyte
sterowanie odwrotne
sterowanie wewnętrzne
fuzzy control
inverse control
feedback linearization
internal model control
Opis:
This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of fuzzy systems to approximate any nonlinear mapping, the nonlinear system is represented by a Takagi-Sugeno (TS) fuzzy system, which is then inverted for designing a fuzzy controller. As an application of the proposed inverse control methodology, two popular control structures, namely, feedback linearization and Nonlinear Internal Model Control (NIMC) are investigated. Moreover, the paper points out that, under some conditions, both of the control structures are equivalent and naturally implement a Smith predictor in the presence of time delays.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 233-248
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
Wyświetlanie 1-15 z 25

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