Controllers Design for a Class of Markov Jump Linear Discrete Systems

摘要：

In this paper, the necessary and sufficient conditions on the existence of the stabilizing controllers of Markov jump linear discrete systems are established in terms of matrix inequality, and the controller design ensuring the stochastic stability of systems is also proposed by using the cone complementarity linearization method. The controller proposed can ensure the stochastic stability of systems, but not all eigenvalues for every discrete subsystem are in unit circle. The proposed controller design ensuring the stochastic stability of systems reduces conservative degree. The simulation results illustrate the effectiveness of the proposed controller design.

关键词： Jump linear discrete system Markov chain Matrix inequality

作者: Dong He Hongli Zhang Yuanwei Jing

作者单位: Math Department, Heilongjiang Bayi Agricultural University, Daqing 163319, China Math Department, Heilongjiang Bayi Agricultural University, Daqing 163319, China School of Informati School of Information Science & Engineering, Northeastern University, Shenyang 110004, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 1500-1503

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）