Title :
Quadratic stability and H∞ control of a class of uncertainty T-S fuzzy systems
Author :
Zhang, Ying ; Wang, Yanan ; Zhai, Ding ; Chen, Xiangyong
Author_Institution :
Fac. of Sci., Shenyang Univ., Shenyang, China
Abstract :
For a class of the uncertainty T-S fuzzy systems, the problem of the quadratic stability and H∞ control is studied in this paper. Firstly, we give the model of the T-S fuzzy systems, and obtain the conditions for quadratic stability. According to linear matrix inequalities (LMIs), we also study the conditions of H∞ control problem, and give the design methods of the state feedback H∞ control. Finally, numerical examples show the feasibility and the effectiveness of the deign method of H∞ control problem.
Keywords :
H∞ control; fuzzy systems; linear matrix inequalities; stability; H∞ control; linear matrix inequalities; quadratic stability; uncertainty T-S fuzzy systems; Fuzzy systems; Linear matrix inequalities; Numerical stability; Stability criteria; State feedback; Symmetric matrices; H∞ control; T-S fuzzy systems; linear matrix inequalities (LMIs); quadratic stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968720
