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Wyszukujesz frazę "feedback stability" wg kryterium: Temat


Wyświetlanie 1-10 z 10
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:
Stabilization of Second-order Systems by Non-linear Feedback
Autorzy:
Skruch, P.
Powiązania:
https://bibliotekanauki.pl/articles/907952.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ drugiego rzędu
teoria stabilności
sterowanie nieliniowe
second-order system
stability theory
non-linear feedback
Opis:
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 455-460
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global stability of nonlinear feedback systems with fractional positive linear parts
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/330048.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
global stability
fractional positive system
nonlinear system
feedback system
stateczność globalna
układ ułamkowy
układ dodatni
układ nieliniowy
Opis:
The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e ≤ f(e) ≤ k2e for some positive k1 and k2. It is shown that the fractional nonlinear systems are globally asymptotically stable if the Nyquist plots of the fractional positive linear parts are located on the right-hand side of the circles (−1/k1,−1/k2).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 493-499
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of linear feedback for bilinear control systems
Autorzy:
Belozyorov, V. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908500.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
system of ordinary quadratic differential equations
bilinear control system
linear control law
cone of stability
feedback
closed-loop system
Opis:
Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An adaptive output feedback motion tracking controller for robot manipulators: Uniform global asymptotic stability and experimentation
Autorzy:
Yarza, A.
Santibanez, V.
Moreno-Valenzuela, J.
Powiązania:
https://bibliotekanauki.pl/articles/330314.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
adaptive control
robot control
nonlinear control
output feedback
Lyapunov UGAS stability
sterowanie adaptacyjne
sterowanie robotem
sterowanie nieliniowe
sprzężenie zwrotne
stabilność Lyapunova
Opis:
This paper deals with two important practical problems in motion control of robot manipulators: the measurement of joint velocities, which often results in noisy signals, and the uncertainty of parameters of the dynamic model. Adaptive output feedback controllers have been proposed in the literature in order to deal with these problems. In this paper, we prove for the first time that Uniform Global Asymptotic Stability (UGAS) can be obtained from an adaptive output feedback tracking controller, if the reference trajectory is selected in such a way that the regression matrix is persistently exciting. The new scheme has been experimentally implemented with the aim of confirming the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 599-611
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault tolerant control design for polytopic LPV systems
Autorzy:
Rodrigues, M.
Theilliol, D.
Aberkane, S.
Sauter, D.
Powiązania:
https://bibliotekanauki.pl/articles/911248.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
interfejs lokalnego zarządzania
liniowa nierówność macierzowa
fault tolerant control
multiple actuator failures
polytopic LPV systems
LMI
static output feedback
stability
Opis:
This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both faultfree and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the stabilizing output feedback control problem. An example illustrates the effectiveness and performances of the proposed FTC method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 27-37
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
H-infinity control of discrete-time linear systems constrained in state by equality constraints
Autorzy:
Filasová, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/330125.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ dyskretny
liniowa nierówność macierzowa
sprzężenie zwrotne
algorytm sterowania
układ singularny
equality constraints
discrete time systems
linear matrix inequality
state feedback
control algorithms
quadratic stability
singular systems
Opis:
In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
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
    Wyświetlanie 1-10 z 10

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