Design of quasi-optimal fuzzy controller by fuzzy dynamic programming

Author

Hojo, Tatsuya ; Terano, Toshiro ; Masui, Shigehiro

Author_Institution

Yamatake-Honeywell, Co. Ltd., Tokyo, Japan

fYear

1993

fDate

1993

Firstpage

1253

Abstract

A design method is described for new fuzzy feedback systems which contains the idea of optimal control. The fuzzy optimal control rules are selected when the state variables are apart from the goal, and are switched to ordinary fuzzy proportional-integral-derivative (PID) control rules automatically near the goal to solve the problem of stability and offset. For optimal control, the phase plane is digitized and the optimal output of the controller is obtained by applying fuzzy dynamic programming which has linguistically explained goals and constraints to each state of the phase plane. Quasi-optimal feedback control rules are obtained by describing the optimal output of the controller for each state as fuzzy rules whose inputs are state variables. The effectiveness of the system designed with this method was verified by simulations. It was found that the characteristics of the system were similar to that of fuzzy sliding mode control

Keywords

control system synthesis; dynamic programming; feedback; fuzzy control; optimal control; stability; three-term control; PID control rules; fuzzy dynamic programming; fuzzy feedback systems; linguistically explained goals; phase plane; quasi-optimal fuzzy controller; stability; state variables; Automatic control; Design methodology; Feedback; Fuzzy control; Fuzzy systems; Optimal control; Pi control; Proportional control; Sliding mode control; Three-term control;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1993., Second IEEE International Conference on

Conference_Location

San Francisco, CA

Print_ISBN

0-7803-0614-7

Type

conf

DOI

10.1109/FUZZY.1993.327572

Filename

327572