Title :
A new approach to ralaxed quadratic stabilization for T-S fuzzy systems
Author :
Xiangpeng, Xie ; Huaguang, Zhang
Author_Institution :
Sch. of the Inf. Sci. & Eng., Northeastern Univ., Shenyang
Abstract :
In this paper, the problems of quadratic stabilization conditions for Takagi-Sugeno fuzzy systems have been studied. A new quadratic stability condition, which takes into account the knowledge of the membership functionpsilas shape by considering bounds on their cross products, has been proposed. And then a new sufficient condition in terms of linear matrix inequalities is developed to synthesize the state feedback controller that stabilizes the fuzzy systems. An numerical example is provided to illustrate the effectiveness of the proposed results.
Keywords :
fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; Takagi-Sugeno fuzzy system; cross product; linear matrix inequalities; membership function; quadratic stabilization; state feedback controller; Bismuth; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Shape; Stability analysis; Symmetric matrices; Takagi-Sugeno model; Linear matrix inequalities (LMIs); Relaxed quadratic stability; Takagi-Sugeno (T-S) fuzzy model;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605129
