A hyperchaotic system stabilization via inverse optimal control and experimental research

doi:10.1088/1674-1056/19/10/100502

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/19/10/100502

A hyperchaotic system stabilization via inverse optimal control and experimental research

杨宁宁, 刘崇新, 吴朝俊

^a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China; ^b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2010-03-29 修回日期:2010-04-27 出版日期:2010-10-15 发布日期:2010-10-15

A hyperchaotic system stabilization via inverse optimal control and experimental research

Yang Ning-Ning(杨宁宁)^a)b)†, Liu Chong-Xin(刘崇新)^a)b), and Wu Chao-Jun(吴朝俊)^a)b)

State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China; School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2010-03-29 Revised:2010-04-27 Online:2010-10-15 Published:2010-10-15

摘要/Abstract

摘要： In this paper, some basic dynamical properties of a four-dimensional autonomous hyperchaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this new hyperchaotic system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment. An efficient approaching is developed for global asymptotic stabilization of this four-dimensional hyperchaotic system. Based on the method of inverse optimal control for nonlinear systems, a linear state feedback is electronically implemented. It is remarkably simple as compared with other chaos control ways, like nonlinear state feedback.

Abstract: In this paper, some basic dynamical properties of a four-dimensional autonomous hyperchaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this new hyperchaotic system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment. An efficient approaching is developed for global asymptotic stabilization of this four-dimensional hyperchaotic system. Based on the method of inverse optimal control for nonlinear systems, a linear state feedback is electronically implemented. It is remarkably simple as compared with other chaos control ways, like nonlinear state feedback.

Key words: hyperchaos, inverse optimal control, numerical simulation, circuitry experiment

中图分类号: (Bifurcation theory)

02.30.Oz

02.30.Uu (Integral transforms) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)

杨宁宁, 刘崇新, 吴朝俊. A hyperchaotic system stabilization via inverse optimal control and experimental research[J]. 中国物理B, 2010, 19(10): 100502-100502.

Yang Ning-Ning(杨宁宁), Liu Chong-Xin(刘崇新), and Wu Chao-Jun(吴朝俊). A hyperchaotic system stabilization via inverse optimal control and experimental research[J]. Chin. Phys. B, 2010, 19(10): 100502-100502.

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A hyperchaotic system stabilization via inverse optimal control and experimental research

A hyperchaotic system stabilization via inverse optimal control and experimental research

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