Title :
Stabilizing periodic solutions of nonlinear systems and applications in chaos control
Author :
Zhu, Jiandong ; Tian, Yu-Ping
Author_Institution :
Sch. of Math. & Comput. Sci., Nanjing Normal Univ., China
Abstract :
In this paper, a simple nonlinear recursive delayed feedback controller is designed for stabilizing periodic solutions of a nonlinear 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 to chaotic systems, one can effectively control chaos.
Keywords :
chaos; closed loop systems; nonlinear systems; stability; chaos control; chaotic systems; closed-loop system; nonlinear recursive delayed feedback controller; periodic solutions; stability; Adaptive control; Chaos; Control systems; Control theory; Delay systems; Feedback control; Nonlinear control systems; Nonlinear systems; Open loop systems; Stability; Chaotic systems; delayed feedback control; periodic solutions; stability;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.853342
