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
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
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.
Received: 18 May 2000
Revised: 30 August 2000
Accepted manuscript online:
Fund: Project supported by the National Defense Science Foundation of China (Grant No. 98JS05.4.1.DZ0205).
Cite this article:
Zhang Jia-shu (张家树), Wan Ji-hong (万继宏), Xiao Xian-ci (肖先赐) ADAPTIVE NONLINEAR FEEDBACK CONTROL OF CHAOTIC SYSTEMS BASED ON REDUCED PARAMETER QUADRATIC PREDICTORS 2001 Chinese Physics 10 97
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