A new extended minimal control synthesis algorithm with an application to the control of chaotic systems

Author

di Bernardo, M. ; Stoten, D.P.

Author_Institution

Dept. of Mech. Eng., Bristol Univ., UK

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1902

Abstract

This paper investigates an extension to the minimal control synthesis (MCS) algorithm (Stoten and Benchoubane, 1990), for the control of systems with rapidly varying disturbances (plant nonlinearities, parameter variations and external inputs), namely a switching action whose amplitude is adaptively estimated is added to the original MCS control law. Proof of global asymptotic stability of the error dynamics is given and the algorithm is applied to the problem of controlling a chaotic system. The results are contrasted with those obtained by applying a standard MCS law

Keywords

adaptive control; asymptotic stability; chaos; control nonlinearities; control system synthesis; nonlinear systems; state feedback; adaptive control; asymptotic stability; chaotic systems; error dynamics; minimal control synthesis; nonlinear systems; nonlinearities; rapidly varying disturbances; state feedback; switching action; Adaptive control; Amplitude estimation; Chaos; Control nonlinearities; Control system synthesis; Control systems; Electromagnetic compatibility; Mechanical engineering; Nonlinear control systems; Nonlinear dynamical systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657868

Filename

657868