中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1715-1718.doi: 10.1088/1009-1963/15/8/014

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Adaptive passive equivalence of uncertain Lü system

齐冬莲   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2005-11-23 修回日期:2006-01-05 出版日期:2006-08-20 发布日期:2006-08-20

Adaptive passive equivalence of uncertain Lü system

Qi Dong-Lian(齐冬莲)†   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2005-11-23 Revised:2006-01-05 Online:2006-08-20 Published:2006-08-20

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摘要： An adaptive passive strategy for controlling uncertain L\"{u} system is proposed. Since the uncertain L\"{u} system is minimum phase and the uncertain parameters are from a bounded compact set, the essential conditions are studied by which uncertain L\"{u} system could be equivalent to a passive system, and the adaptive control law is given. Using passive theory, the uncertain L\"{u} system could be globally asymptotically stabilized at different equilibria by the smooth state feedback.

关键词: Lü system, passive control, uncertain parameters

Abstract: An adaptive passive strategy for controlling uncertain Lü system is proposed. Since the uncertain Lü system is minimum phase and the uncertain parameters are from a bounded compact set, the essential conditions are studied by which uncertain Lü system could be equivalent to a passive system, and the adaptive control law is given. Using passive theory, the uncertain Lü system could be globally asymptotically stabilized at different equilibria by the smooth state feedback.

Key words: Lü system, passive control, uncertain parameters

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
02.30.Yy (Control theory)