Observer design for a class of nonlinear time-delay systems

作     者：Jiang jianhu, Song lijun, Zhang Guo Department of electrical engineering and automation, Luoyang Institute of Science and Technology, Luoyang, 471023 

会议名称：《第24届中国控制与决策会议》

会议日期：2012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 Henan Natural Science Research Education Program No.2011B120007 

关 键 词：Robust observer Time-delay system Lipschitz nonlinearity Linear matrix inequality (LMI) 

摘      要：This paper is devoted to design of observer for a class of Lipschitz nonlinear state delay systems with, or without parameter uncertainty. The nonlinearities are assumed to appear in both state and measured output equations. For both the cases with and without norm-bounded time-varying parameter uncertainties, a design method is proposed, in which linear matrix inequalities （LMIs） are solved. When certain LMIs are satisfied, the explicit expression of a desired nonlinear observer is presented. A numerical example and the simulating results are provided to demonstrate the applicability of the proposed approach.