Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters  

作　　者：Jianwei XIA Shengyuan XU Yun ZOU 

机构地区：[1]School of Mathematics Science, Liaocheng University, Liaocheng Shandong 252000, China [2]School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China

出　　处：《控制理论与应用（英文版）》2008年第4期410-414,共5页

基　　金：the National Natural Science Foundation of China (No.60074007).

摘　　要：This paper deals with the problems of robust reliable exponential stabilization and robust stochastic stabilization with H-infinity performance for a class of nonlinear uncertain time-delay stochastic systems with Markovian jumping parameters. The time delays are assumed to be dependent on the system modes. Delay-dependent conditions for the solvability of these problems are obtained via parameter-dependent Lyapunov functionals. Furthermore, it is shown that the desired state feedback controller can be designed by solving a set of linear matrix inequalities. Finally, the simulation is provided to demonstrate the effectiveness of the proposed methods.This paper deals with the problems of robust reliable exponential stabilization and robust stochastic stabilization with H-infinity performance for a class of nonlinear uncertain time-delay stochastic systems with Markovian jumping parameters. The time delays are assumed to be dependent on the system modes. Delay-dependent conditions for the solvability of these problems are obtained via parameter-dependent Lyapunov functionals. Furthermore, it is shown that the desired state feedback controller can be designed by solving a set of linear matrix inequalities. Finally, the simulation is provided to demonstrate the effectiveness of the proposed methods.

关 键 词：H-infinity control Markovian jump Reliable control Stochastic systems Time delays 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]