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Optimal control for uncertainty dynamic chaotic systems

Qian Fu-Cai Liu Ding Zhu Shao-Ping

Optimal control for uncertainty dynamic chaotic systems

Qian Fu-Cai, Liu Ding, Zhu Shao-Ping
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  • Abstract views:  3592
  • PDF Downloads:  1255
  • Cited By: 0
Publishing process
  • Received Date:  18 May 2009
  • Accepted Date:  28 July 2009
  • Published Online:  15 April 2010

Optimal control for uncertainty dynamic chaotic systems

  • 1. (1)西安理工大学自动化与信息工程学院,西安 710048; (2)西安理工大学自动化与信息工程学院,西安 710048;西安财经学院统计学院,西安 710061

Abstract: For chaos control problem, in accordance with the constraints of control system energy, a quadratic objective function is first determined, and then a simple method for obtaining the optimal control law is proposed. This method gives the optimal control law by solving linear quadratic optimal control problem and avoids the difficulty of solving Hamilton-Jacobi-Bellman equation. Using Lyapnuov method, we prove the stability of the closed-loop system. For the unified chaotic system and Liu chaotic system the simulation results show the effectiveness of the control method.

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