Adaptive control of a class of nonlinear systems with fuzzy logic

Author

Su, Chun-Yi ; Stepanenko, Yury

Author_Institution

Dept. of Mech. Eng., Victoria Univ., BC, Canada

Volume

2

Issue

4

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

285

Lastpage

294

Abstract

An adaptive tracking control architecture is proposed for a class of continuous-time nonlinear dynamic systems, for which an explicit linear parameterization of the uncertainty in the dynamics is either unknown or impossible. The architecture employs fuzzy systems, which are expressed as a series expansion of basis functions, to adaptively compensate for the plant nonlinearities. Global asymptotic stability of the algorithm is established in the Lyapunov sense, with tracking errors converging to a neighborhood of zero. Simulation results for an unstable nonlinear plant are included to demonstrate that incorporating the linguistic fuzzy information from human experts results in superior tracking performance

Keywords

Lyapunov methods; adaptive control; fuzzy control; nonlinear control systems; stability; tracking; Lyapunov sense; adaptive tracking control; basis functions; continuous-time nonlinear dynamic systems; dynamics; explicit linear parameterization; fuzzy logic; fuzzy systems; global asymptotic stability; human experts; linguistic fuzzy information; plant nonlinearities; series expansion; tracking errors; uncertainty; unstable nonlinear plant; Adaptive control; Asymptotic stability; Control systems; Fuzzy logic; Fuzzy systems; Humans; Nonlinear control systems; Nonlinear systems; Programmable control; Uncertainty;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.324808

Filename

324808