Li, Jiangrong ; Li, Junmin ; Xia, Zhile
Korbicz, Józef - red. ; Uciński, Dariusz - red.
This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi?Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF) is proposed, in which both the upper and the lower bound of delays are considered ; Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. ; A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, Volume 21, Number 4 (2011) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Sep 8, 2021
Aug 28, 2018
|Delay-dependent generalized h2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays||Sep 8, 2021|
Balasubramaniam, Pagavathigounder Lakshmanan, Shanmugam Rakkiyappan, Rajan Korbicz, Józef - red. Uciński, Dariusz - red.
Han, Qing-Long Triggiani, Roberto- ed. Maksimov, Vyacheslav I. - ed.
Patton, Ron J. Chen, Lejun Klinkhieo, Supat Korbicz, Józef - red. Uciński, Dariusz - red.
Montes De Oca, Saúl Puig, Vicenç Witczak, Marcin Dziekan, Łukasz Korbicz, Józef - red. Uciński, Dariusz - red.
Filasová, Anna Krokavec, Dušan Korbicz, Józef - red. Uciński, Dariusz - red.