DocumentCode :
35770
Title :
Stability Analysis of Polynomial-Fuzzy-Model-Based Control Systems With Mismatched Premise Membership Functions
Author :
Lam, H.K. ; Shun-Hung Tsai
Author_Institution :
Dept. of Inf., King´s Coll. London, London, UK
Volume :
22
Issue :
1
fYear :
2014
fDate :
Feb. 2014
Firstpage :
223
Lastpage :
229
Abstract :
This paper investigates the stability of polynomial-fuzzy-model-based (PFMB) control system, which is formed by a polynomial fuzzy model and a polynomial fuzzy controller connected in a closed loop. To enhance the design flexibility, the number of rules and the shape of premise membership functions of the polynomial fuzzy controller are considered to be chosen freely and are different from those of the polynomial fuzzy model, however, which make the stability analysis more difficult and potentially lead to conservative stability analysis result. A sum-of-squares (SOS)-based stability analysis approach using the Lyapunov stability theory is proposed to investigate the stability of the PFMB control systems and synthesize the polynomial fuzzy controller. To facilitate the stability analysis and relax the stability analysis result, the property of the membership functions and the boundary information of the membership grades and premise variables are taken into account in the stability analysis and incorporated into the SOS-based stability conditions. A simulation example is given to illustrate the effectiveness of the proposed approach.
Keywords :
Lyapunov methods; closed loop systems; control system analysis; fuzzy control; polynomials; stability; Lyapunov stability theory; PFMB control system; SOS-based stability analysis approach; boundary information; closed loop control; membership grades; mismatched premise membership functions; polynomial fuzzy controller; polynomial fuzzy model; polynomial-fuzzy-model-based control systems; premise variables; sum-of-squares; Computer science; Control systems; Electronic mail; Facsimile; Polynomials; Shape; Stability analysis; Fuzzy-model-based (FMB) control; mismatched premise membership functions; nonlinear systems; polynomial fuzzy systems; 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.2013.2243735
Filename :
6423888
Link To Document :
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