Title :
Prediction-based control in chaotic discrete-time systems
Author :
Ushio, Toshimitsu ; Yamamoto, Shigeru
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
Pyragas (1992) proposes a practically useful control method, called delayed feedback control, for control of chaos. Conditions for (local) stabilization by the delayed feedback control, however, are more restricted than those by the Ott-Grebogi-Yorke (1990) method. In order to overcome this problem, we propose a novel control method, called a prediction-based feedback control, for discrete-time chaotic systems. Moreover, we give necessary and sufficient conditions for exponential stabilization of fixed points by the proposed method
Keywords :
asymptotic stability; chaos; delay systems; discrete time systems; feedback; multidimensional systems; nonlinear systems; predictive control; robust control; chaotic systems; delay systems; discrete-time systems; exponential stabilization; feedback; multidimensional systems; nonlinear systems; predictive control; Adaptive control; Chaos; Control systems; Delay estimation; Eigenvalues and eigenfunctions; Feedback control; Nonlinear control systems; Orbits; State estimation; Sufficient conditions;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.830942
