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具有跳跃时滞的跳跃线性离散系统的控制器设计 被引量：1

Controller design for linear jump system in discrete time domains with jump time-delays
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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.
作者 张宏礼 井元伟 姜囡 张嗣瀛
机构地区 东北大学信息科学与工程学院 黑龙江八一农垦大学数学系
出处 《控制与决策》 EI CSCD 北大核心 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)
关键词 跳跃线性离散系统 MARKOV链 矩阵不等式 Jump linear discrete system Markov chain Matrix inequality
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献12

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同被引文献15

  • 1邱占芝,张庆灵,刘明.有时延和数据包丢失的网络控制系统控制器设计[J].控制与决策,2006,21(6):625-630. 被引量：42
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  • 6Liu M, Ho, DWC, Niu Y. Stabilization of Markovian jump linear system over networks with random communication delay[J]. Automatica, 2009, 45(2): 416-421.
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  • 10Zhang L X, Boukas E K. Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities[J]. Automatica, 2009, 45(2): 463-468.

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控制与决策
2009年 第5期

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