中国物理B ›› 2008, Vol. 17 ›› Issue (3): 847-851.doi: 10.1088/1674-1056/17/3/020

• GENERAL • 上一篇    下一篇

Chaotic attractor transforming control of hybrid Lorenz--Chen system

齐冬莲, 王乔, 顾弘   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2007-04-05 修回日期:2007-08-17 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60702023) and Natural Science Foundation of Zhejiang Province, China (Grant No Y104414).

Chaotic attractor transforming control of hybrid Lorenz--Chen system

Qi Dong-Lian(齐冬莲)†, Wang Qiao(王乔), and Gu Hong(顾弘)   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2007-04-05 Revised:2007-08-17 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60702023) and Natural Science Foundation of Zhejiang Province, China (Grant No Y104414).

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摘要： Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz--Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors.

Abstract: Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz--Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors.

Key words: hybrid Lorenz--Chen system, chaotic attractor, transforming control

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

  • 05.45.Gg
02.10.Yn (Matrix theory)