Memory H∞ Control for Continuous-Time Markovian Jump Systems with Time-Varying Delay and Defective Mode Information

摘要：

　　This paper investigates the problems of delay-dependent stability analysis and memory H∞ controller synthesis for a class of continuous-time Markovian jump linear systems(MJLSs)via an input-output(IO)approach.The generality lies in that the exactly known,partially unknown and uncertain transition rates are simultaneously incorporated into the defective mode information.It is first shown that the original system with time-varying delay can be reformulated by a new IO model through a process of two-term approximation and the stability problem of the original system can be transformed into the scaled small gain(SSG)problem of the IO model.Then,based on a Markovian Lyapunov-Krasovskii formulation of SSG condition together with some convexification techniques,the stability analysis and state-feedback H∞ controller synthesis conditions for the underlying MJLSs are formulated in terms of linear matrix inequalities.Simulation studies are provided to illustrate the effectiveness and superiority of the proposed analysis and design methods.

关键词： Markovian Jump Systems Robust Control Defective Mode Information Time-Varying Delay Input-Output Approach

作者: Yanling WEI Jianbin QIU Hamid Reza KARIMI

作者单位: Research Institute of Intelligent Control and Systems,Harbin Institute of Technology,Harbin 150001,P Department of Engineering,Faculty of Engineering and Science,University of Agder,N-4898 Grimstad,Nor

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 5437-5442

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）