Application of describing functions in the transient response analysis of a three-term fuzzy controller

Author

Abdelnour, Ghassan ; Cheung, John Y. ; Chang, Chir-Ho ; Tinetti, Guillermo

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA

Volume

23

Issue

2

fYear

1993

Firstpage

603

Lastpage

606

Abstract

The exponential-input describing function technique is used to investigate the transient response of a fuzzy controller. The rule-base of this fuzzy controller is generated by fuzzy addition and the partitioning of the universes of discourse of its input and output variables is based on an exponential mapping scheme. By using the symmetric features introduced by fuzzy addition in the decision table of the fuzzy control algorithm and the new mapping scheme, the effects of the output error time sequences can be represented by independent multilevel relays and a multiplication junction. Computer simulations on a second-order system confirm the behaviour of this analysis technique

Keywords

control system analysis; describing functions; fuzzy control; three-term control; transient response; decision table; exponential mapping scheme; exponential-input describing function technique; fuzzy addition; independent multilevel relays; multiplication junction; output error time sequences; partitioning; rule-base; symmetric features; three-term fuzzy controller; transient response analysis; Computer errors; Computer simulation; Error correction; Fuzzy control; Fuzzy systems; Quantization; Relays; Three-term control; Transient analysis; Transient response;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9472

Type

jour

DOI

10.1109/21.229474

Filename

229474