| 切换系统的不变性原理与不变集的状态反馈镇定 |
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| 引用本文： | 林相泽,田玉平.切换系统的不变性原理与不变集的状态反馈镇定[J].控制与决策,2005,20(2):127-131. |
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| 作者姓名： | 林相泽 田玉平 |
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| 作者单位： | 东南大学,自动控制系,江苏,南京,210096 |
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| 基金项目： | 国家自然科学基金项目(60425308)，教育部科技重点项目(02112). |
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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.
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| 关 键 词： | 切换系统 不变集 反馈镇定 多Lyapunov函数 不变性原理 |
| 文章编号： | 1001-0920(2005)02-0127-05 |
Invariance principle and state feedback stabilization of invariant sets of switched systems |
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| LIN Xiang-ze,TIAN Yu-ping.Invariance principle and state feedback stabilization of invariant sets of switched systems[J].Control and Decision,2005,20(2):127-131. |
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| Authors: | LIN Xiang-ze TIAN Yu-ping |
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| Abstract: | 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. |
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| Keywords: | switched systems invariant sets feedback stabilization multiple Lyapunov functions invariant (principle) |
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