Robust H_∞ control of uncertain systems with two additive time-varying delays  

作　　者：M.Syed Ali R.Saravanakumar 

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

出　　处：《Chinese Physics B》2015年第9期25-34,共10页中国物理B（英文版）

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

摘　　要：This paper is concerned with the problem of delay-dependent robust H∞control for a class of uncertain systems with two additive time-varying delays. A new suitable Lyapunov–Krasovskii functional（LKF） with triple integral terms is constructed and a tighter upper bound of the derivative of the LKF is derived. By applying a convex optimization technique, new delay-dependent robust H∞stability criteria are derived in terms of linear matrix inequalities（LMI）. Based on the stability criteria, a state feedback controller is designed such that the closed-loop system is asymptotically stable.Finally, numerical examples are given to illustrate the effectiveness of the proposed method. Comparison results show that our results are less conservative than the existing methods.This paper is concerned with the problem of delay-dependent robust H∞control for a class of uncertain systems with two additive time-varying delays. A new suitable Lyapunov–Krasovskii functional（LKF） with triple integral terms is constructed and a tighter upper bound of the derivative of the LKF is derived. By applying a convex optimization technique, new delay-dependent robust H∞stability criteria are derived in terms of linear matrix inequalities（LMI）. Based on the stability criteria, a state feedback controller is designed such that the closed-loop system is asymptotically stable.Finally, numerical examples are given to illustrate the effectiveness of the proposed method. Comparison results show that our results are less conservative than the existing methods.

关 键 词：additive time-varying delays Lyapunov method H∞ control linear matrix inequality 

分 类 号：O175[理学—数学] O231[理学—基础数学]