Title :
A dynamic delayed feedback controller for chaotic discrete-time systems
Author :
Yamamoto, Shigeru ; Hino, Toru ; Ushio, Toshimitsu
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
Delay feedback control (DFC) is a useful control method with a static feedback gain for chaotic systems. However, it is known that DFC can not stabilize any systems with an odd number of real eigenvalues greater than unity. This paper shows that we can overcome this limitation by using dynamic delay feedback. It is also shown that the order of the dynamic delay feedback controller is not necessarily greater than that of the chaotic system
Keywords :
chaos; delay systems; discrete time systems; eigenvalues and eigenfunctions; feedback; multidimensional systems; nonlinear systems; stability; chaotic systems; delay feedback control; discrete-time systems; eigenvalues; multidimensional systems; nonlinear systems; stability; stabilization; Adaptive control; Chaos; Control systems; Delay systems; Digital-to-frequency converters; Eigenvalues and eigenfunctions; Feedback control; Jacobian matrices; Nonlinear dynamical systems; Orbits;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879188
