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非线性切换系统的镇定与非光滑控制Lyapunov函数

Stabilization of Nonlinear Switching Systems and Non-smooth Control-Lyap unov Function
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摘要 对构建一般非线性切换系统的切换律进行了讨论,由系统的渐近能控性出发,在一定的假设前提下,得出了存在依赖于状态的切换律,使闭环系统在广义的意义下渐近稳定的结论。结论推广到了仿射控制系统,给出了使系统镇定的一个充分条件。 This paper presents a construction of the switching rule for general nonlinear switching systems. Beginning with the system asymptotic controllability, under certain presuppositions, it proves that there exists a state-depending switching rule which stabilizes the system in a very general sense. Then, the result is extended to the affine control system. A sufficient condition is given for the stabilization of the system.
出处 《洛阳理工学院学报(自然科学版)》 2008年第1期79-83,共5页 Journal of Luoyang Institute of Science and Technology:Natural Science Edition
关键词 镇定 切换系统 Krasowski解 控制Lyaounov函数 Stabilization Switching systems Krasowski solutions Control-Lyapunov functions
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参考文献4

  • 1BACCIOTTI A.Stabilization by means of state space depending switching rules[].Systems and Control Letters.2004
  • 2FILIPPOV A F.Differential equations with discontinuous right handsides[]..1998
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  • 4Liberzon D,Morse A S.Basic problems in stability and design of switched systems[].IEEE Control Systems Magazine.1999

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