Piecewise robust H∞ filtering for fuzzy systems with time-varying uncertainty

Author

Chen, Meng ; Feng, Gang ; Yin, Yixin

Author_Institution

Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

94

Lastpage

99

Abstract

Based on a piecewise quadratic Lyapunov function, this paper investigates the piecewise robust H_infin filtering design problem for fuzzy systems subject to time-varying uncertainties. It is shown that via suitable matrix linearization transformations and changes of variables, the design problem can be converted into a convex programming problem in term of linear matrix inequalities. Finally, a simulation example is presented to illustrate the application and performance of the proposed approach

Keywords

H^infin control; Lyapunov matrix equations; control system synthesis; convex programming; filtering theory; fuzzy systems; linear matrix inequalities; robust control; time-varying systems; convex programming; fuzzy system; linear matrix inequalities; matrix linearization transformation; piecewise quadratic Lyapunov function; piecewise robust H_infin filtering; time-varying uncertainty; Boundary conditions; Filtering; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Robustness; Symmetric matrices; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE

Conference_Location

Munich

Print_ISBN

0-7803-9797-5

Electronic_ISBN

0-7803-9797-5

Type

conf

DOI

10.1109/CACSD-CCA-ISIC.2006.4776630

Filename

4776630