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Wyświetlanie 1-15 z 43
Tytuł:
Feedback Stabilization of Continuous Systems by Adding an Integrator
Autorzy:
Outbib, R.
Aggoune, W.
Powiązania:
https://bibliotekanauki.pl/articles/908264.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
feedback stabilization
nonlinear systems
continuous systems
Lyapunov function
Opis:
This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 871-881
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Hybrid stabilization of discrete-time LTI systems with two quantized signals
Autorzy:
Zhai, G.
Matsumoto, Y.
Chen, X.
Imae, J.
Kobayashi, T.
Powiązania:
https://bibliotekanauki.pl/articles/908451.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system czasu dyskretnego
strategia stabilizacji
kwantyzator
sprzężenie zwrotne
discrete-time LTI system
hybrid stabilization strategy
quantizer
state feedback
output feedback
Opis:
We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system’s stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where the values of the quantizer parameters are updated at discrete time instants. We also extend the result to the case of static output feedback.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 509-516
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization and Pole Assignment in Control System Design
Autorzy:
Chu, E. K.
Powiązania:
https://bibliotekanauki.pl/articles/908060.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja
matematyka
condition number
linear feedback
pole assignment
robustness
Opis:
Some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, will be utilized in pole assignment. In particular, "Method 0" by Kautsky et al. (1985) for optimal selection of vectors is shown to be convergent to a local minimum, with respect to the condition number 1/2 ||X||_F^2 - ln |det X|. This contrasts with the misconception by Kautsky et al. that the method diverges, or the recent discovery by Yang and Tits (1995) that the method converges to stationary points.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 5; 1035-1053
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zeroing the transfer matrix of the Roesser model of 2-D linear systems
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/24200697.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
controllability
observability
2D Roesser model
state feedback
output feedback
zeroing of the transfer matrix
sterowalność
obserwowalność
model Roessera dwuwymiarowy
sprzężenie od stanu
sprzężenie zwrotne
Opis:
Controllability, observability and the transfer matrix of the discrete 2-D Roesser model are analyzed. It is shown that the controllability of the Roesser model is invariant under state feedbacks and the observability under output feedbacks. Sufficient conditions are established for the zeroing of the transfer matrix of the Roesser model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 4; 513--519
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A modified van der Pol equation with delay in a description of the heart action
Autorzy:
Zduniak, B.
Bodnar, M.
Foryś, U.
Powiązania:
https://bibliotekanauki.pl/articles/330034.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system with feedback
stability
action potential
sprzężenie zwrotne
stabilność
potencjał czynnościowy
Opis:
In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological modes. Usage of certain values for feedback and delay parameters allows simulating the heart action when an accessory conducting pathway is present (Wolff–Parkinson–White syndrome).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 853-863
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:
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:
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 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:
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:
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:
Infinite eigenvalue assignment by an output feedback for singular systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907319.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przyporządkowanie wartości własnych
sprzężenie zwrotne
układ singularny
infinite eigenvalue assignment
feedback
singular system
Opis:
The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 19-23
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 43

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