切换系统的全局指数稳定性

V·菲利普维奇

doi:10.3879/j.issn.1000-0887.2011.09.011

切换系统的全局指数稳定性

doi: 10.3879/j.issn.1000-0887.2011.09.011

V·菲利普维奇

克拉古耶瓦茨大学机械工程学院,德斯特杰瓦 19, 克拉列沃 36000,塞尔维亚

基金项目: 塞尔维亚科学技术发展部资助项目(TR-3326)

详细信息

中图分类号: O317
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出版历程
- 收稿日期: 2011-02-09
- 修回日期: 2011-05-01
- 刊出日期: 2011-09-15

Global Exponential Stability of Switched Systems

V. Filipovic

Faculty of Mechanical Engineering, University of Kragujevac, Dositejeva 19, Kraljevo 36000, Serbia

摘要

摘要: 提出了一种确定切换系统稳定性分析的方法．引入了两个相关的实例(非完整系统和约束摆)进行说明．用有限个模型的集合组成非线性模型，且切换序列可以是任意的．假定在切换瞬间状态不出现跳跃，并且不出现Zeno现象，即在每个有界时间段上，切换次数是有限的．在对所确定切换系统的分析中，应用了多次Liapunov函数，并证明了全局指数稳定性．系统的指数稳定性平衡关系到实际应用，因为这样的系统有着更强健的抗干扰能力．
- 切换系统 /
- 多次Liapunov函数 /
- 全局指数稳定性
Abstract: A method for stability analysis of deterministic switched systems was proposed.Two motivational examples were introduced (nonholonomic system and constrained pendulum).The finite collection of models consists of nonlinear models and a switching sequence was arbitrary.It was supposed that there was no jump in the state at switching instants and there was no Zeno behavior,i.e.there was finite number of switches on every bounded interval.For analysis of deterministic switched systems,the multiple Liapunov functions were used and global exponential stability was proved.The exponentially stable equilibrium of systems is relevant for practice because such systems are robust to perturbations.
- switching systems /
- multiple Liapunov functions /
- global exponential stability

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参考文献(24)

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