H∞ Analysis and Controller Synthesis via a Descriptor System Approach

作     者：Cheng Peng1,Cao Yongyan2,Sun Youxian1 1.Institute of Industrial Process Control,State Key Laboratory of Industrial Control Technology Zhejiang University,Hangzhou 310027,P.R.China 2.Department of Automation,Wuhan University of Science and Technology,Wuhan 430081,P.R.China 

会议名称：《第二十七届中国控制会议》

会议日期：2008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 in part by the 863 Program under grant No. 2006AA04Z184,No.2007AA041406 the Key Technologies R&D Program of Zhejiang Province under grant No.2006C11066 

关 键 词：Robust Performance Analysis H∞ Synthesis Descriptor Systems Parameter-dependent Lyapunov Functions Polytopic Systems Affine Parameter Systems 

摘      要：The problem of H analysis and synthesis of linear uncertain systems is addressed via parameter-dependent Lyapunov *** polyqudratic H stability as well as the affine quadratic H stability is defined,and the corresponding sufficient conditions of LMI form are derived based on a descriptor system *** refraining the slack matrices,H state feedback controllers could also be constructed by LMI *** effectiveness is demonstrated by a numerical example.