Implementation of dynamic programming for chaos control in discrete systems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Merat, Kaveh¹  Salarieh, Hassan¹  Alasty, Aria¹ 

[1] Sharif Univ Technol, Dept Mech Engn, Ctr Excellence Design Robot & Automat, Tehran, Iran

关键词: Chaos;    Control;    Dynamic programming;    Unstable fixed point;   

DOI  :  10.1016/j.cam.2009.08.002

来源: Elsevier

【 摘 要 】

In this paper the control of discrete chaotic systems by designing linear feedback controllers is presented. The linear feedback control problem for nonlinear systems has been formulated under the viewpoint of dynamic programming. For suppressing chaos with minimum control effort, the system is stabilized on its first order unstable fixed point (UFP). The presented method also could be employed to make any desired nth order fixed point of the system, stable. Two different methods for higher order UFPs stabilization are suggested. Afterwards, these methods are applied to two well-known chaotic discrete systems: the Logistic and the Henon Maps. For each of them, the first and second UFPs in their chaotic regions are stabilized and simulation results are provided for the demonstration of performance. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free