Output Regulation of Polynomial-Fuzzy-Model-Based Control Systems

Author

Lam, H.K. ; Lo, J.C.

Author_Institution

Dept. of Electron. Eng., King´s Coll. London, London, UK

Volume

21

Issue

2

fYear

2013

fDate

Apr-13

Firstpage

262

Lastpage

274

Abstract

This paper investigates the output regulation problem of polynomial-fuzzy-model-based (PFMB) control systems with the consideration of system stability and control synthesis using the sum-of-squares (SOS)-based approach. A PFMB control system is formed by a polynomial fuzzy model and a polynomial fuzzy controller with integral action connected in a closed loop. Three cases of PFMB control systems regarding the premise membership functions and number of fuzzy rules, which have their own properties and advantages, are considered. The stability of the PFMB control systems is investigated based on the Lyapunov stability theory. With consideration of the information of membership functions, SOS-based stability conditions corresponding to each case are obtained to guarantee system stability and to realize output regulation. Simulation examples are given to compare the three cases and illustrate the effectiveness of the proposed approach.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; fuzzy control; fuzzy set theory; nonlinear control systems; polynomials; stability; Lyapunov stability theory; PFMB control system; SOS-based approach; closed loop; control synthesis; fuzzy rules; integral action; membership function; nonlinear plant; output regulation problem; polynomial-fuzzy-model-based control system; sum-of-squares based approach; system stability; Control systems; Lyapunov methods; Mathematical model; Numerical stability; Polynomials; Stability criteria; Output regulation; polynomial fuzzy-model-based (PFMB) control; stability analysis; sum of squares (SoS);

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2012.2211365

Filename

6257463