Observer Based Delay-Dependent Robust H∞ Control of Nonlinear Uncertain Systems with State and Input Delays

作     者：Miaoxin Wang is with the School of Control and Computer Engineering,North China Electric Power University,Beijing,102206,China.Xinzhi Liu is with the Department of Applied Mathematics,University of Waterloo,Waterloo,Ontario,Canada,N2L3G1.Jizhen Liu is with the School of Control and Computer Engineering,North China Electric Power University,Beijing,102206,China.Miaomiao Ma is with the School of Control and Computer Engineering,North China Electric Power University,Beijing,102206,China 

会议名称：《2011 Chinese Control and Decision Conference（CCDC）》

会议日期：2011年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by NSERC Canada and Chinese Universities Scientific Fund 

关 键 词：Nonlinear uncertain systems State and input delays Delay-dependent Robust H∞ control Observer LMI 

摘      要：Observer-based delay-dependent robust H∞ controller design problem for state and input time-delays systems with a class of nonlinear uncertainties is discussed in this *** that the nonlinear uncertain functions in the considered model are gain-bounded,we obtain a sufficient condition for robustly asymptotic stability and H∞ performance of the closed-loop system in the light of Lyapunov stability *** solving a pair of linear matrix inequalities （LMIs）,we construct delay-dependent state feedback control law which guarantees robustly asymptotic stability of the closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed *** delay-bounds and the H∞ performance bound can be optimized.A numerical example is given to illustrate our results.