Title :
Stabilizing periodic solutions of chaotic systems
Author :
Zhu, Jiandong ; Yu-Ping Tan
Author_Institution :
Dept. of Autom. Control, Southeast Univ., Nanjing, China
Abstract :
In this paper, a simple nonlinear recursive delayed feedback controller is designed for stabilizing periodic solutions of a chaotic system. The proposed controller is constructively designed and does not inherit the odd number limitation. The stability of the periodic solution of the closed-loop system is proved rigorously. Applying the control method, one can effectively control chaos.
Keywords :
closed loop systems; feedback; nonlinear control systems; stability; chaotic systems; closed-loop system; nonlinear recursive delayed feedback controller; periodic solution stability; Adaptive control; Automatic control; Chaos; Control systems; Control theory; Delay lines; Feedback control; Nonlinear control systems; Nonlinear equations; Stability;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272888