Title :
Dynamic delayed feedback controllers for chaotic discrete-time systems
Author :
Yamamoto, Shigeru ; Hino, Toru ; Ushio, Toshimitsu
Author_Institution :
Dept. of Syst. & Human Sci., Osaka Univ., Japan
fDate :
6/1/2001 12:00:00 AM
Abstract :
Delayed feedback control (DFC), proposed by Pyragas [1992], is one of the useful control methods for chaotic systems. However, this static DFC has a limitation such that it can not stabilize any systems with an odd number of real eigenvalues greater than unity. In this paper, to overcome the limitation we introduce dynamic delayed feedback, and derive a necessary and sufficient condition for stabilization of such chaotic systems. Moreover, it is shown that the order of the dynamic delayed feedback controller is not necessarily greater than that of the chaotic system. Furthermore, we show a method of designing reduced-order controllers which is based on the linear matrix inequalities
Keywords :
chaos; discrete time systems; eigenvalues and eigenfunctions; feedback; nonlinear control systems; reduced order systems; stability; chaotic discrete-time systems; dynamic delayed feedback controllers; linear matrix inequalities; real eigenvalues; reduced-order controllers; stabilization; Adaptive control; Chaos; Control systems; Delay; Design methodology; Digital-to-frequency converters; Eigenvalues and eigenfunctions; Feedback control; Linear matrix inequalities; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
