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切换系统的全局指数稳定性 被引量：2

Global Exponential Stability of Switched Systems
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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. 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.
作者 V·菲利普维奇 黄锋(译)
机构地区 克拉古耶瓦茨大学机械工程学院 不详
出处 《应用数学和力学》 CSCD 北大核心 2011年第9期1118-1126,共9页 Applied Mathematics and Mechanics
基金 塞尔维亚科学技术发展部资助项目(TR-3326)
关键词 切换系统 多次Liapunov函数 全局指数稳定性 switching systems multiple Liapunov functions global exponential stability
分类号 O317 [理学—一般力学与力学基础]
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参考文献24

  • 1Tabuda P. Verification and Control of Hybrid Systems, a Symbolic Approach [ M ]. Berlin: Springer, 2009.
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二级参考文献26

  • 1Saber R O, Murray R M. Consensus problems in networks of agents with switching topology and time-delays[J]. IEEE Transactions on Automatic Control, 2004,49 (9) : 1520-1533.
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  • 7Ren W, Beard R W. Formation feedback control for multiple spacecraft via virtual structures [ J ]. IEE Proceedings Control Theory and Applications, 2004,15( 1 ) : 357-368.
  • 8Mesbahi M, Hadaegh F Y. Formation flying control of multiple spacecraft via graphs, matrix inequalities, and switching[ J ]. AIAA J of Guidance, Control, and Dynamics, 2001,24 (6) : 369-377.
  • 9Oriolo G, De Lucay A, Vendittelli M. WMR control via dynamic feedback linearization: design, implementation and experimental validation[ J]. IEEE Transactions on Control Systems Technology, 2002,10(5): 835-852.
  • 10Namerikawa T, Yoshioka C. Consensus control of observer-based multi-agent system with communication delay [ J ]. SICE Annual Conference, 2008,1 ( 1 ) : 2414-2419.

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应用数学和力学
2011年 第9期

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