DocumentCode
2521008
Title
H∞ filter design for fuzzy systems via fuzzy Lyapunov functions
Author
Chang, Xiao-Heng ; Yang, Guang-hong
Author_Institution
Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
fYear
2011
fDate
23-25 May 2011
Firstpage
3476
Lastpage
3479
Abstract
This paper studies the problem of H∞ filter design for fuzzy systems. By constructing a new type of fuzzy H∞ filter, a novel H∞ design approach is developed. The approach is facilitated by introducing some slack matrix variables. These matrix variables decouple the Lyapunov matrix and the system matrices, which makes the H∞ design feasible. The proposed approach leads to a sufficient condition in the form of linear matrix inequalities (LMIs). A numerical example is given to illustrate our method.
Keywords
H∞ control; Lyapunov matrix equations; filtering theory; fuzzy control; fuzzy systems; linear matrix inequalities; H∞ filter design; LMI; Lyapunov matrix; fuzzy H∞ filter; fuzzy Lyapunov function; fuzzy system; linear matrix inequalities; slack matrix variable; Fuzzy control; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Robustness; Stability analysis; H∞ filter; T-S fuzzy systems; fuzzy Lyapunov function; linear matrix inequalities (LMIs);
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location
Mianyang
Print_ISBN
978-1-4244-8737-0
Type
conf
DOI
10.1109/CCDC.2011.5968718
Filename
5968718
Link To Document