A generalization of delayed feedback control in chaotic discrete-time systems

Author

Ushio, Toshimitsu ; Yamamoto, Shigeru

Author_Institution

Dept. of Syst. & Human Sci., Osaka Univ., Japan

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

1946

Abstract

Pyragas proposes (1992) a practically useful control method, called delayed feedback, for control of chaos. Conditions for (local) stabilization by the delayed feedback, however, are more restricted than those by the OGY method. In order to overcome this problem, we proposed a delayed feedback control method using nonlinear estimation of stabilized orbits. Moreover, we give necessary and sufficient conditions for local stabilization of fixed points by the proposed method, using linear matrix inequalities, and obtain a parameterization of all feedback gains stabilizing the fixed points

Keywords

chaos; delays; discrete time systems; feedback; matrix algebra; nonlinear dynamical systems; nonlinear estimation; stability criteria; LMI; chaotic discrete-time systems; delayed feedback control; feedback gain parameterization; linear matrix inequalities; local stabilization conditions; necessary and sufficient conditions; nonlinear estimation; stabilized orbits; Chaos; Control system synthesis; Control systems; Delay estimation; Feedback control; Linear matrix inequalities; Orbits; Stability; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758605

Filename

758605