Fuzzy observer-based control of nonlinear systems

Author

Jadbabaie, Ali ; Titli, Andre ; Jamshidi, Mohammad

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of New Mexico, Albuquerque, NM, USA

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3347

Abstract

In this paper, some recent results on systematic design of model based fuzzy controllers for nonlinear systems with Takagi-Sugeno (T-S) fuzzy models are discussed. These methods are based on finding a common Lyapunov matrix and state feedback gains for the closed loop T-S fuzzy model using linear matrix inequalities. However, all of these methods assume that the states are available for measurement, while in reality this is not the case. To solve this problem, the notion of fuzzy observer is introduced and a separation theorem for the observer/controller system is stated and proof sketch is presented

Keywords

Lyapunov matrix equations; closed loop systems; discrete time systems; fuzzy control; nonlinear systems; observers; stability; state feedback; Lyapunov matrix; Takagi-Sugeno models; closed loop systems; discrete time systems; linear matrix inequality; model based fuzzy control; nonlinear systems; observer; stability; state feedback gains; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Stability analysis; State feedback; Takagi-Sugeno model;

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.1997.652362

Filename

652362