中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70501-070501.doi: 10.1088/1674-1056/22/7/070501

• GENERAL • 上一篇    下一篇

Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters

刘平   

  1. Shandong Key Laboratory of Gardening Machinery and Equipment, College of Mechanical and Electronic Engineering,Shandong Agricultural University, Taian 271018, China
  • 收稿日期:2012-08-21 修回日期:2012-10-22 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60874009 and 10971120) and the Natural Science Foundation of Shandong province, China (Grant No. ZR2010FM010).

Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters

Liu Ping (刘平)   

  1. Shandong Key Laboratory of Gardening Machinery and Equipment, College of Mechanical and Electronic Engineering,Shandong Agricultural University, Taian 271018, China
  • Received:2012-08-21 Revised:2012-10-22 Online:2013-06-01 Published:2013-06-01
  • Contact: Liu Ping E-mail:pingliu@mail.sdu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60874009 and 10971120) and the Natural Science Foundation of Shandong province, China (Grant No. ZR2010FM010).

摘要: This paper deals with the finite-time stabilization of the unified chaotic complex systems with known and unknown parameters. Based on the finite-time stability theory, the nonlinear control laws are presented to achieve finite-time chaos control of the determined and uncertain unified chaotic complex systems, respectively. The two controllers are simple and one of the uncertain unified chaotic complex systems is robust. For the design of finite-time controller on uncertain unified chaotic complex systems, only part of all unknown parameters are required to be bounded. Simulation results for the chaotic complex Lorenz, Lü and Chen systems are presented to validate the design and the analysis.

关键词: finite-time stability, uncertain parameters, unified chaotic complex systems

Abstract: This paper deals with the finite-time stabilization of the unified chaotic complex systems with known and unknown parameters. Based on the finite-time stability theory, the nonlinear control laws are presented to achieve finite-time chaos control of the determined and uncertain unified chaotic complex systems, respectively. The two controllers are simple and one of the uncertain unified chaotic complex systems is robust. For the design of finite-time controller on uncertain unified chaotic complex systems, only part of all unknown parameters are required to be bounded. Simulation results for the chaotic complex Lorenz, Lü and Chen systems are presented to validate the design and the analysis.

Key words: finite-time stability, uncertain parameters, unified chaotic complex systems

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

  • 05.45.Gg
05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)