Robust dissipative control for time-delay stochastic jump systems  

作　　者：Lijuan Xu Tianping Zhang Yang Yi 

机构地区：[1]College of Information Engineering, Yangzhou University, Yangzhou 225009, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第2期314-321,共8页系统工程与电子技术（英文版）

基　　金：supported in part by the National Natural Science Foundation of China (60874045; 60904030);the Foundation of the Education Bureau of Jiangsu Province (09KJB510019);the Natural Science Foundation of Jiangsu Province (BK2009184)

摘　　要：A robust dissipative control problem for a class of It-type stochastic systems is discussed with Markovian jumping parameters and time-varying delay. A memoryless state feedback dissipative controller is developed based on Lyapunov-Krasovskii functional approach such that the closed-loop system is robustly stochastically stable and weakly delay-dependent （RSSWDD） and strictly （Q, S, R）-dissipative. The sufficient condition on the existence of state feedback dissipative controller is presented by linear matrix inequality （LMI）. And the desired controller can be concluded as solving a set of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.A robust dissipative control problem for a class of It-type stochastic systems is discussed with Markovian jumping parameters and time-varying delay. A memoryless state feedback dissipative controller is developed based on Lyapunov-Krasovskii functional approach such that the closed-loop system is robustly stochastically stable and weakly delay-dependent （RSSWDD） and strictly （Q, S, R）-dissipative. The sufficient condition on the existence of state feedback dissipative controller is presented by linear matrix inequality （LMI）. And the desired controller can be concluded as solving a set of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

关 键 词：Ito-type stochastic system time-varying delay Markovprocess dissipative control robustly stochastically stable andweakly delay-dependent （RSSWDD） linear matrix inequality. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP271[自动化与计算机技术—控制科学与工程]