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一类非线性切换系统的稳定化 被引量：1

The Stabilization of a Class of Nonlinear Switched Systems
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摘要 讨论当各子系统具有相同相关度1时非线性仿射切换系统的稳定化问题.借助零动态的性质,给出非线性切换系统在某种切换信号下稳定化的充分条件. This paper discusses the stabilization problem of a class of nonlinear affine switched systems whose subsystems have relative degree 1. With the help of zero dynamics, a sufficient condition under which the nonlinear switched systems are stabilizable for some switching signal is given.
作者 赵胜芝 姜晓艳
机构地区 辽宁大学数学系 铁岭农业职业技术学院
出处 《辽宁大学学报（自然科学版）》 CAS 2004年第3期212-213,226,共3页 Journal of Liaoning University：Natural Sciences Edition
关键词 稳定化 零动态 非线性仿射切换系统 闭环系统 nonlinear switched systems zero dynamics stabilization.
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献5

  • 1D Liberzon,J P Hespanha and A S Morse.Stability of switched systems:a Lie-algebraic condition[J].Systems Control Lett,1999,37:117-122.
  • 2A A Agrachev and D Liberzon.Lie-algebraic stability criteria for switched systems[J].SIAM J Control Optim,2001,40:253-269.
  • 3J L Mancilla-Aguilar.A condition for the stability of switched nonlinear systems[J].IEEE Trans.Automat.Control,2000,45:2077-2079.
  • 4D Angeli and D Liberzon.A note on uniform global asymptotic stability of nonlinear switched systems in triangular form[C].In proc 14th Int Symp on Mathematical Theory of Networks and Systems(MTNS),2000.
  • 5Nael H El-Farra,Panagiotis D Christofides.Feedback Control of Switched Nonlinear Systems Using Multiple Lyapunov Functions[C].Proceedings of the American Conrtrol Conference,Arlington,VA June 2001,25-27.

同被引文献6

  • 1D. Angeli and D. Liberzon. A note on uniform global asymptotic stability of nonlinear switched systems in triangular form. In proc. 14th Int. Symp. on Mathematical Theory of Networks and Systems ( MTNS), 2000.
  • 2Nie H and Zhao J. Hybrid State Feedback H∞ Robust Control for a Class of Linear Systems with Time - Varying Norm - Bounded Uncertainty. Proceedings of the American Control Conference, 2003, 3608 - 3613.
  • 3Cheng D and Chen H. Accessibility of Switched Linear Systems. Proceedings of the 42^nd IEEE Conf. Decision Contr. , 2003, 5759 - 5764.
  • 4Zhao S and Zhao J. Global Stabilization of a Class of Cascade Switched Nonlinear Systems. the 43^nd IEEE Conf. Decision Contr. , 2004, 2817 -2822.
  • 5Ji Z, Wang L and Xie G. New Results on the Quadratic Stabilization of Switched Linear Systems. Proceeding of the 42^nd IEEE Conf. Decision Contr. , 2003, 1657 - 1662.
  • 6Morse A S. Supervisory control of families of linear set -point controllers - Part 1: exact matching. IEEE Trans. Automat. Control, 1996, 41 (10), 1413- 1431.

引证文献1

辽宁大学学报（自然科学版）
2004年 第3期

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