引用本文:李莉莉,赵军.一类非线性离散切换系统基于观测器的指数镇定[J].控制理论与应用,2009,26(7):786~790.[点击复制]
Li Li-li,ZHAO Jun.Observer-based exponential stabilization for a class of discrete-time switched nonlinear systems[J].Control Theory and Technology,2009,26(7):786~790.[点击复制]
一类非线性离散切换系统基于观测器的指数镇定
Observer-based exponential stabilization for a class of discrete-time switched nonlinear systems
摘要点击 1554  全文点击 1033  投稿时间：2008-01-26  修订日期：2008-08-18
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DOI编号  10.7641/j.issn.1000-8152.2009.7.CCTA080088
  2009,26(7):786-790
中文关键词  离散切换系统  多Lyapunov函数  滞后切换规则
英文关键词  discrete-time switched systems  multiple Lyapunov functions  hysteresis switching law
基金项目  国家自然科学基金资助项目(60574013)
作者单位E-mail
李莉莉* 东北大学 教育部暨流程工业综合自动化重点实验室 tolilili@gmail.com 
赵军 东北大学 教育部暨流程工业综合自动化重点实验室  
中文摘要
      对一类离散非线性切换系统, 考虑了基于观测器的指数镇定问题. 借助微分中值定理(DMVT), 将非线性切换系统转化为线性参数(LPV)切换系统. 当状态变量不完全可获得时, 基于多Lyapunov函数方法, 给出系统在基于观测器的输出反馈控制器下指数镇定的充分条件. 所设计的滞后切换规则能够避免产生滑动模态. 并且将结果推广到系统方程含有不确定性的情况. 最后, 仿真例子说明了设计方法的有效性.
英文摘要
      The observer-based exponential stabilization problem is addressed for a class of discrete-time switched nonlinear systems. The differential mean-value-theorem(DMVT) allows transforming the switched nonlinear systems into switched linear parameter-varying(LPV) systems. When the states are not completely available for switching and controller design, the multiple Lyapunov functions approach is exploited to derive sufficient conditions for exponential stabilizability via observer-based output feedback. The designed switching law is of the hysteresis switching form which prevents the system from sliding motions. Also, an extension of this method to switched systems with norm-bounded uncertainties is obtained. Finally, a numerical example illustrates the effectiveness of the proposed approach.