On the persistent excitation conditions of adaptive fuzzy systems in nonlinear identifications

Author

Wan, Feng ; Wang, Li-Xin

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China

Volume

1

fYear

2000

fDate

2000

Firstpage

858

Abstract

This paper addresses the persistent excitation conditions of adaptive fuzzy systems in the identifications of nonlinear functions and nonlinear dynamical systems. The adaptive fuzzy system is constructed as a standard fuzzy system and the parameters in the fuzzy system are tuned online by the orthogonal projection algorithm. We first give the conditions under which the parameters in the fuzzy system can be uniquely determined, and then propose methods to design input signals with the persistent excitation property for adaptive fuzzy systems in the identifications of nonlinear moving average and autoregressive moving average systems

Keywords

adaptive systems; autoregressive moving average processes; function approximation; fuzzy set theory; fuzzy systems; identification; nonlinear dynamical systems; adaptive fuzzy systems; autoregressive moving average; excitation conditions; function approximation; identifications; nonlinear dynamical systems; orthogonal projection; Adaptive control; Adaptive systems; Design methodology; Fuzzy systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Parameter estimation; Programmable control; Radial basis function networks;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.912877

Filename

912877