Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback  

作　　者：王军威 曾才斌 

机构地区：[1]School of Informatics,Guangdong University of Foreign Studies [2]School of Mathematical Sciences,South China University of Technology

出　　处：《Chinese Physics B》2012年第11期45-54,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 61104138);the Guangdong Natural Science Foundation,China (Grant No. S2011040001704);the Foundation for Distinguished Young Talents in Higher Education of Guangdong,China (Grant No. LYM10074)

摘　　要：This paper is concerned with the problem of robust H∞ control for a novel class of uncertain linear continuous-time systems with heterogeneous time-varying state/input delays and norm-bounded parameter uncertainties. The objective is to design a static output feedback controller such that the closed-loop system is asymptotically stable while satisfying a prescribed H∞ performance level for all admissible uncertainties. By constructing an appropriate Lyapunov-Krasvskii functional, a delay-dependent stability criterion of the closed-loop system is presented with the help of the Jensen integral inequality. From the derived criterion, the solutions to the problem are formulated in terms of linear matrix inequalities and hence are tractable numerically. A simulation example is given to illustrate the effectiveness of the proposed design method,This paper is concerned with the problem of robust H∞ control for a novel class of uncertain linear continuous-time systems with heterogeneous time-varying state/input delays and norm-bounded parameter uncertainties. The objective is to design a static output feedback controller such that the closed-loop system is asymptotically stable while satisfying a prescribed H∞ performance level for all admissible uncertainties. By constructing an appropriate Lyapunov-Krasvskii functional, a delay-dependent stability criterion of the closed-loop system is presented with the help of the Jensen integral inequality. From the derived criterion, the solutions to the problem are formulated in terms of linear matrix inequalities and hence are tractable numerically. A simulation example is given to illustrate the effectiveness of the proposed design method,

关 键 词：robust H∞ control Lyapunov stability Jensen integral inequality linear matrix inequal-ity 

分 类 号：O231[理学—运筹学与控制论]