中国物理B ›› 2001, Vol. 10 ›› Issue (6): 494-496.doi: 10.1088/1009-1963/10/6/306

• GENERAL • 上一篇    下一篇

ADAPTIVE CONTROL AND IDENTIFICATION OF CHAOTIC SYSTEMS

李智, 韩崇昭   

  1. School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2000-12-23 修回日期:2001-01-12 出版日期:2005-06-12 发布日期:2005-06-12

ADAPTIVE CONTROL AND IDENTIFICATION OF CHAOTIC SYSTEMS

Li Zhi (李智), Han Chong-zhao (韩崇昭)   

  1. School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2000-12-23 Revised:2001-01-12 Online:2005-06-12 Published:2005-06-12

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摘要： A novel adaptive control and identification on-line method is proposed for a class of chaotic system with uncertain parameters. We prove that, using the presented method, a controller and identifier is developed which can remove chaos in nonlinear systems and make the system asymptotically stabilizing to an arbitrarily desired smooth orbit. And at the same time, estimates to uncertain parameters converge to their true values. The advantage of our method over the existing result is that the controller and identifier is directly constructed by analytic formula without knowing unknown bounds about uncertain parameters in advance. A computer simulation example is given to validate the proposed approach.

Abstract: A novel adaptive control and identification on-line method is proposed for a class of chaotic system with uncertain parameters. We prove that, using the presented method, a controller and identifier is developed which can remove chaos in nonlinear systems and make the system asymptotically stabilizing to an arbitrarily desired smooth orbit. And at the same time, estimates to uncertain parameters converge to their true values. The advantage of our method over the existing result is that the controller and identifier is directly constructed by analytic formula without knowing unknown bounds about uncertain parameters in advance. A computer simulation example is given to validate the proposed approach.

Key words: chaotic systems, adaptive chaos control, identification on line, uncertain parameters

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

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