SOS-based Stability Analysis of Polynomial Fuzzy Control Systems via Polynomial Membership Functions

被引：0
|
作者：
Narimani, Mohammand [1 ]
Lam, H. K. [1 ]
机构：
[1] Kings Coll London, Div Engn, London WC2R 2LS, England
来源：
2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9 | 2009年
关键词：
Polynomial fuzzy control system; stability; sum of squares; membership functions shape-dependent stability conditions; RELAXED STABILITY; UNCERTAIN GRADES; SUBJECT;
D O I：
10.1109/ICSMC.2009.5345897
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents stability analysis of polynomial fuzzy control systems using Sum-Of-Squares (SOS) approach. To take continuous form of membership functions into the stability analysis, based on the Lyapunov stability theory, stability conditions in the form of fuzzy summations are derived where each term contains product of polynomial fuzzy model and polynomial fuzzy controller membership functions. Then each product term is approximated by polynomials in the partitioned operating domain of membership functions. Regarding to the derived conditions in all sub-regions, SOS-based stability conditions are formed. The proposed approach can be utilized for stability analysis of polynomial fuzzy control system in which fuzzy model and fuzzy controller do not share the same membership functions named non-PDC design technique. The solution of the SOS-based stability conditions can be found numerically using the SOSTOOLS which is a free third-party MATLAB Toolbox. Numerical example is given to illustrate the effectiveness of the proposed stability conditions.
引用
收藏
页码：3011 / 3016
页数：6
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