Adaptive wavelet control of nonlinear systems

Author

Polycarpou, Marios M. ; Mears, Mark J. ; Weaver, Scott E.

Author_Institution

Dept. ECECS, Cincinnati Univ., OH, USA

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3890

Abstract

This paper considers the design and analysis of adaptive wavelet control algorithms for uncertain nonlinear dynamical systems. The Lyapunov synthesis approach is used to develop a state-feedback adaptive control scheme based on nonlinearly parametrized wavelet network models. Semi-global stability results are obtained under the key assumption that the system uncertainty satisfies a “matching” condition. The localization properties of adaptive networks are discussed and formal definitions of interference and localization measures are proposed

Keywords

Lyapunov methods; adaptive control; multivariable systems; neural nets; nonlinear dynamical systems; stability; state feedback; uncertain systems; wavelet transforms; Lyapunov synthesis; adaptive wavelet control; localization; multivariable systems; neural networks; nonlinear dynamical systems; stability; state-feedback; uncertain systems; Adaptive control; Algorithm design and analysis; Control system synthesis; Control systems; Network synthesis; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Programmable control; Wavelet analysis;

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.1997.652469

Filename

652469