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线性时不变平面切换系统的镇定问题(英文) 被引量:2

Stabilization of Linear Time-invariant (LTI) Planar Switched Systems
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摘要 为了研究相平面中线性时不变混杂切换系统的渐近镇定问题,针对由于2个子系统不稳定的平衡点(焦点、结点、鞍点)类型互异而导致的3种特殊混杂切换系统,基于圆锥切换法则和相平面几何性质,通过设计不同的切换控制律,分别给出了判定系统渐近镇定的充分必要条件,从而完整解决了二阶线性时不变混杂切换系统的渐近镇定问题.数值仿真结果表明了该方法的有效性. The purpose of the thesis is to study the asymptotic stabilization problem of LTI hybrid switched system. For the systems consisting of two subsystems with different equilibrium types (foci, nodes and saddle points), the authors, based on the conic switching law and geometric properties of the phase plane and through designing the switching laws, respectively give the sufficient and necessary conditions of judging the asymptoptic stabilization of the system so as to solve the problem about the asymptoptic stabilization of second-order LTI hybrid switched systems. Numerical examples show the effectiveness of this approach.
出处 《北京工业大学学报》 CAS CSCD 北大核心 2004年第2期156-160,共5页 Journal of Beijing University of Technology
基金 Supported by Chinese National Foundation of Natural science(60374007) Beijing Foundation of Natural Science(4042006).
关键词 相平面 混杂系统 线性切换系统 phase plane hybrid systems linear switched system
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参考文献4

  • 1BRANICKY M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J]. IEEE Transactions on Automatic Control, 1998, 43: 475-482.
  • 2LIBERZON D, MORSE A S. Basic problems in stability and design of switched-systems[J]. IEEE Control Systems Magazine, 1999, 19: 117-122.
  • 3MICHEL A N. Recent trends in the stability analysis of hybrid dynamical systems[J]. IEEE Transaction on Circuits and Systems-l: Fundamental Theory and Applications, 1999, 45(1): 120-134.
  • 4XU X, ANTSAKLIS P J. Stabilization of second-order LTI switched systems[J]. International Journal of Control,2000, 73(14): 1261-1279.

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