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Wyszukujesz frazę "Lyapunov-Krasovskii functional" wg kryterium: Temat


Wyświetlanie 1-4 z 4
Tytuł:
LMI based control design for linear systems with distributed time delays
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229820.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear matrix inequality
systems with distributed time delays
Lyapunov-Krasovskii functional
state control
asymptotic stability
Opis:
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 217-231
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observer-based fault estimation for linear systems with distributed time delay
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229173.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
adaptive fault estimation
distributed time delay systems
Lyapunov-Krasovskii functional
integral partitioning technique
time delay segmentation
linear matrix inequalities
Opis:
The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.
Źródło:
Archives of Control Sciences; 2013, 23, 2; 169-186
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:
Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:
https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
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 1-4 z 4

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