A robust tracking control for chaotic Chua´s circuits via fuzzy approach

Author

Chang, Yeong-Chan

Author_Institution

Dept. of Electr. Eng., Kun-Shan Univ. of Technol., Tainan Hsien, Taiwan

Volume

48

Issue

7

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

889

Lastpage

895

Abstract

This paper addresses the problem of designing robust tracking controls for nonlinear chaotic Chua´s circuits involving plant uncertainties and external disturbances. A hybrid adaptive-robust tracking control scheme which is based upon a combination of H^∞ tracking theory, a variable structure system (VSS) control algorithm, and adaptive fuzzy control is developed such that all the states and signals of the closed-loop system are bounded and an H ^∞ tracking control from the tracking error to the external disturbance is guaranteed. In contrast to the previous investigations of controlling Chua´s circuits, the controller developed here can be extended to handle a broader class of uncertain nonlinear chaotic Chua´s circuits

Keywords

Chua´s circuit; H^∞ control; Riccati equations; adaptive control; chaos; closed loop systems; control system synthesis; fuzzy control; nonlinear control systems; robust control; uncertain systems; variable structure systems; H^∞ tracking theory; Riccati-like matrix equation; adaptive fuzzy control; closed-loop system; external disturbances; fuzzy approach; hybrid adaptive-robust tracking control scheme; nonlinear chaotic Chua´s circuits; plant uncertainties; robust tracking control; tracking error; uncertain nonlinear chaotic Chua´s circuits; variable structure system control algorithm; Adaptive control; Chaos; Circuits; Control systems; Error correction; Fuzzy control; Programmable control; Robust control; Uncertainty; Variable structure systems;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.933330

Filename

933330