Stability analysis and systematic design of fuzzy controllers with simplified linear control rules

Author

Liao, Jun ; Joo Er, Meng

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore

Volume

5

fYear

1999

fDate

1999

Firstpage

4864

Abstract

In this paper, stability analysis and systematic design procedures of fuzzy logic control systems based on the simplified Takagi-Sugeno (TS) fuzzy model are proposed. First, we represent the simplified TS model in the form of local state-space equations. Second, we show that the general TS fuzzy systems with simplified nonlinear rules are universal approximators. A systematic design procedure for fuzzy controllers is proposed through the parallel distributed compensation (PDC) scheme. Finally, necessary and sufficient conditions that guarantee stability of the fuzzy system are obtained

Keywords

control system analysis; control system synthesis; fuzzy control; linear systems; stability criteria; state-space methods; PDC; fuzzy controllers; guaranteed stability; linear control rules; local state-space equations; necessary and sufficient conditions; parallel distributed compensation scheme; simplified TS fuzzy model; simplified Takagi-Sugeno fuzzy model; simplified nonlinear rules; stability analysis; stability conditions; systematic design; systematic design procedure; universal approximators; Control system synthesis; Control systems; Design methodology; Erbium; Fuzzy control; Fuzzy logic; Fuzzy systems; Nonlinear equations; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833313

Filename

833313