AN APPROACH FOR STABILITY ANALYSIS OF T-S FUZZY SYSTEMS VIA PIECEWISE QUADRATIC STABILITY

作者：Zamani Iman^*; Zarif Mohammad H

来源：International Journal of Innovative Computing Information and Control, 2010, 6(9): 4041-4054.

• T-S fuzzy systems
• Piecewise quadratic Lyapunov
• Stability analysis
• Linear inequality matrix (LMIs)

This paper presents a new approach for the stability analysis of Takagi-Sugeno (T-S) fuzzy systems. An idea is investigated to use piecewise quadratic Lyapunov function with low amount of computations. This class of Lyapunov function candidates is much richer than, the common quadratic Lyapunov function. By exploiting the piecewise continuous Lyapunov function, we derive stability conditions that can be verified via convex optimization over linear matrix inequalities (LMIs) or bilinear matrix inequalities (BMIs). This idea will be used to derive some sufficient stability conditions for output feedback controller, parallel distributed compensation (PDC) and dynamic parallel distributed compensation (DPDC). Independence of this method of finding only one positive definite matrix that makes this method hig hly applicable, has less computation. Also, independence of these fuzzy sets to be normalized and their shapes make this method more useful. A numerical example which is given illustrates the effectiveness of the proposed method.

• 出版日期2010-9