中国物理B ›› 2001, Vol. 10 ›› Issue (2): 97-102.doi: 10.1088/1009-1963/10/2/302

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ADAPTIVE NONLINEAR FEEDBACK CONTROL OF CHAOTIC SYSTEMS BASED ON REDUCED PARAMETER QUADRATIC PREDICTORS

万继宏1, 张家树2, 肖先赐2   

  1. (1)Department of Electrical Engineering, Panzhihua University, Panzhihua 617000, China; (2)Department of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2000-05-18 修回日期:2000-08-30 出版日期:2001-02-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Defense Science Foundation of China (Grant No. 98JS05.4.1.DZ0205).

ADAPTIVE NONLINEAR FEEDBACK CONTROL OF CHAOTIC SYSTEMS BASED ON REDUCED PARAMETER QUADRATIC PREDICTORS

Zhang Jia-shu (张家树)a, Wan Ji-hong (万继宏)b,  Xiao Xian-ci (肖先赐)a   

  1. a Department of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; b Department of Electrical Engineering, Panzhihua University, Panzhihua 617000, China
  • Received:2000-05-18 Revised:2000-08-30 Online:2001-02-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Defense Science Foundation of China (Grant No. 98JS05.4.1.DZ0205).

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摘要： An adaptive nonlinear feedback-control method is proposed to control continuous-time chaotic dynamical systems, where the adaptive nonlinear controller acts on only one-dimensional error signal between the desired state and the observed chaotic state of a system. The reduced parameter adaptive quadratic predictor used in adaptive feedback cancellation of the nonlinear terms can control the system to any desired state. Computer simulation results on the Lorenz system are shown to demonstrate the effectiveness of this feedback-control method.

Abstract: An adaptive nonlinear feedback-control method is proposed to control continuous-time chaotic dynamical systems, where the adaptive nonlinear controller acts on only one-dimensional error signal between the desired state and the observed chaotic state of a system. The reduced parameter adaptive quadratic predictor used in adaptive feedback cancellation of the nonlinear terms can control the system to any desired state. Computer simulation results on the Lorenz system are shown to demonstrate the effectiveness of this feedback-control method.

Key words: chaotic control, adaptive nonlinear predictor, adaptive nonlinear feedback control

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

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)