引用本文:张　霓,吴铁军.参数摄动混杂离散系统的鲁棒稳定性[J].控制理论与应用,2002,19(5):731~736.[点击复制]
ZHANG Ni,WU Tie-jun.Robust stability of hybrid discrete systems with parameter perturbation[J].Control Theory and Technology,2002,19(5):731~736.[点击复制]
参数摄动混杂离散系统的鲁棒稳定性
Robust stability of hybrid discrete systems with parameter perturbation
摘要点击 1873  全文点击 1191  投稿时间：2000-12-26  修订日期：2001-12-07
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DOI编号  10.7641/j.issn.1000-8152.2002.5.014
  2002,19(5):731-736
中文关键词  混杂系统  鲁棒稳定性  线性矩阵不等式
英文关键词  hybrid systems  robust stability  linear matrix inequalities
基金项目  浙江省教育厅科技项目基金(2000432)资助项目.
作者单位E-mail
张　霓 浙江工业大学自动化系， 杭州310032 nzhang@iipc.zju.edu.cn  
吴铁军 浙江大学工业控制技术国家重点实验室, 杭州310027  
中文摘要
      采用线性矩阵不等式(LMI)方法研究离散事件状态转移条件为状态依赖的参数摄动线性混杂离散系统的鲁棒稳定性问题, 提出此类系统全局鲁棒渐近稳定性判定定理, 基于分段Lyapunov函数给出了一般混杂离散系统在Lyapunov意义下局部稳定的判定定理, 该定理可将线性混杂离散系统的稳定性问题转化为LMI问题, 在此基础上提出了参数摄动线性混杂离散系统在Lyapunov意义下局部鲁棒稳定的充分条件.
英文摘要
      With the linear matrix inequality (LMI) method, this paper investigates the robust stability of general linear hybrid discrete systems with parameter perturbation. The sufficient conditions for global robust asymptotic stability are proposed. Based on the multiple Lyapunov functions, the sufficient conditions are presented for local Lyapunov stability of general hybrid discrete systems. By applying the result, the stability problems of the linear hybrid discrete systems can be formulated as the LMI problems. Furthermore, the sufficient conditions are derived for local robust Lyapunov stability of the linear hybrid discrete systems with parameter perturbation.