Improved delay-dependent robust H_∞ control of an uncertain stochastic system with interval time-varying and distributed delays  

作　　者：M.Syed Ali R.Saravanakumar 

机构地区：[1]Department of Mathematics Thiruvalluvar University

出　　处：《Chinese Physics B》2014年第12期5-13,共9页中国物理B（英文版）

基　　金：Project supported by the Fund from the Department of Science and Technology(DST)(Grant No.SR/FTP/MS-039/2011)

摘　　要：In this paper, the robust H∞control problem for a class of stochastic systems with interval time-varying and distributed delays is discussed. The system under study involves parameter uncertainty, stochastic disturbance, interval time-varying,and distributed delay. The aim is to design a delay-dependent robust H∞control which ensures the robust asymptotic stability of the given system and to express it in the form of linear matrix inequalities（LMIs）. Numerical examples are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show its conservativeness.In this paper, the robust H∞control problem for a class of stochastic systems with interval time-varying and distributed delays is discussed. The system under study involves parameter uncertainty, stochastic disturbance, interval time-varying,and distributed delay. The aim is to design a delay-dependent robust H∞control which ensures the robust asymptotic stability of the given system and to express it in the form of linear matrix inequalities（LMIs）. Numerical examples are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show its conservativeness.

关 键 词：distributed delay interval time-varying delay H∞control linear matrix inequality（LMI） stochastic systems 

分 类 号：O231[理学—运筹学与控制论]