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切换系统的不变性原理与不变集的状态反馈镇定 被引量：1

Invariance principle and state feedback stabilization of invariant sets of switched systems
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摘要 证明了一类切换系统的一个不变性原理,并将输入对状态稳定的概念推广到输入对系统某个非负能量函数稳定的情况.基于这个不变性原理以及输入对系统能量函数稳定的概念,利用多Lyapunov函数方法提出并证明了一类具有Lyapunov稳定子系统的切换系统的不变集可状态反馈镇定的条件.最后讨论了输入对系统能量函数稳定与输入对状态稳定的关系.仿真结果证明了该方法的可行性. An invariance principle is developed for a class of switched systems and the concept of the input-to-state stability is extended to the stability of input to an energy function of the switched systems. Based on this notion and the invariance principle, a condition is proposed and proved, under which an invariant set of states of a switched system with Lyapunov stable subsystems can be stabilized by state feedback. The relationship between these two kinds of stability is discussed in detail. Simulation result shows the validity of the method.
作者 林相泽 田玉平
机构地区 东南大学自动控制系
出处 《控制与决策》 EI CSCD 北大核心 2005年第2期127-131,136,共6页 Control and Decision
基金 国家自然科学基金项目(60425308) 教育部科技重点项目(02112).
关键词 切换系统 不变集 反馈镇定 多LYAPUNOV函数 不变性原理 Computer simulation Invariance State feedback Switching theory System stability
分类号 TP27 [自动化与计算机技术—检测技术与自动化装置]
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参考文献18

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二级参考文献2

共引文献23

同被引文献16

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控制与决策
2005年 第2期

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