具有跳跃时滞的跳跃线性离散系统的控制器设计  

Controller design for linear jump system in discrete time domains with jump time-delays

作　　者：张宏礼[1,2] 井元伟[1] 姜囡[1] 张嗣瀛[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]黑龙江八一农垦大学数学系,黑龙江大庆163319

出　　处：《控制与决策》2009年第5期754-758,共5页Control and Decision

基　　金：国家自然科学基金项目(60274099);教育部博士点基金项目(20020145007)

摘　　要：研究一类具有Markov随机时滞的Markov跳跃线性离散系统的控制器设计问题.给出了系统随机稳定的充分必要条件,在公共控制器不存在时,所给出的依赖于模态和时滞的控制器可以保证系统随机稳定,并可以利用锥补线性化等方法求出控制器.仿真结果验证了所提出的控制器设计方法的有效性.A glass of Markov jump linear systems in discrete time domains with Markov random time delays is discussed. The necessary and sufficient conditions for the stochastic stability of systems are presented. When the common controller ensuring the asymptotic stability of systems doesn＇t exist, the proposed controller depending on modes and time delays can ensure the stochastic stability of systems, and can be obtained by using the cone complementarity linearization method. The simulation results illustrate the effectiveness of the proposed controller design methods.

关 键 词：跳跃线性离散系统 MARKOV链 矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]