Title :
H∞ piecewise filtering for continuous T-S Fuzzy systems with time delays
Author :
Liu, Huixue ; Chen, Cailian ; Guan, Xinping ; Wu, Xiaojing
Author_Institution :
Inst. of Electr. Eng., Yanshan Univ., Qinhuangdao
Abstract :
Based on a piecewise Lyapunov-Krasovskii functional (PLKF), this paper presents an H infin piecewise filtering method for T-S fuzzy systems with time delays. It is shown that the H infin filtering performance can be satisfied if there exists a PLKF. The PLKF and the corresponding filter can be obtained by solving a set of linear matrix inequalities (LMIs). An example is presented to demonstrate the efficiency of the proposed method.
Keywords :
Hinfin control; Lyapunov methods; continuous systems; delays; filtering theory; fuzzy systems; linear matrix inequalities; Hinfin piecewise filtering; LMI; PLKF; Takagi-Sugeno fuzzy systems; continuous T-S fuzzy systems; linear matrix inequalities; piecewise Lyapunov-Krasovskii functional; time delays; Delay effects; Delay estimation; Filtering; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear filters; Symmetric matrices; Vectors;
Conference_Titel :
Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1818-3
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2008.4630493