Title :
Recursive delayed feedback control for chaotic discrete-time systems
Author :
Yamamoto, Shigeru ; Hino, Toru ; Ushio, Toshimitsu
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
Delayed feedback control (DFC) is a useful method of stabilizing unstable fixed points of chaotic systems without their exact information. In this paper, we present a new recursive method for DFC. Since this recursive DFC is essentially dynamic feedback, it can overcome the well-known "odd number" limitation. Hence, it can stabilize almost all unstable fixed points of chaotic systems. In addition, the proposed method enables us to reduce the order of dynamic DFC and to easily design robust DFC
Keywords :
chaos; control system synthesis; delay systems; discrete time systems; feedback; stability; chaotic discrete-time systems; dynamic feedback; odd number limitation; recursive delayed feedback control; reduced-order systems; robust control design; unstable fixed point stabilization; Chaos; Delay; Digital-to-frequency converters; Eigenvalues and eigenfunctions; Feedback control; Orbital calculations; Orbits; Output feedback; Robust control; State feedback;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980580
