Time-optimal control of Takagi-Sugeno fuzzy systems

Author

Kvasnica, Michal ; Herceg, Martin ; Cirka, L´ubos ; Fikar, Miroslav

Author_Institution

Inst. of Inf. Eng., Autom., & Math., Slovak Univ. of Technol. in Bratislava, Bratislava, Slovakia

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

916

Lastpage

921

Abstract

This paper presents a novel approach to synthesis of time-optimal control laws for the class of Takagi-Sugeno (TS) fuzzy systems. The idea is based on transforming the given TS system into a corresponding Piecewise Affine (PWA). The feedback strategy is derived by using the principles of Model Predictive Control (MPC). In order to cope with the state-dependent changes in process dynamics induced by fuzzy rules, we base the control design on PWA models with parametric uncertainties. The controller then utilizes on-line measurements of such uncertainties to provide the time-optimal control action.

Keywords

affine transforms; control system synthesis; feedback; fuzzy control; optimal control; predictive control; MPC; PWA system; TS fuzzy systems; Takagi-Sugeno fuzzy systems; control design; feedback strategy; model predictive control; piecewise affine system; time-optimal control action; time-optimal control laws; Control systems; Fuzzy systems; Table lookup; Takagi-Sugeno model; Time measurement; Uncertainty; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074521