H(infinity) filtering for fuzzy singularly perturbed systems.
This paper considers the problem of designing H(infinity) filters for fuzzy singularly perturbed systems with the consideration of improving the bound of singular-perturbation parameter epsilon. First, a linear-matrix-inequality (LMI)-based approach is presented for simultaneously designing the bound of the singularly perturbed parameter epsilon, and H(infinity) filters for a fuzzy singularly perturbed system. When the bound of singularly perturbed parameter epsilon is not under consideration, the result reduces to an LMI-based design method for H(infinity) filtering of fuzzy singularly perturbed systems. Furthermore, a method is given for evaluating the upper bound of singularly perturbed parameter subject to the constraint that the considered system is to be with a prescribed H(infinity) performance bound, and the upper bound can be obtained by solving a generalized eigenvalue problem. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.
Yang
Guang-Hong
GH
Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), and College of Information Scienceand Engineering, Northeastern University, Shenyang 110004, China. yangguanghong@ise.neu.edu.cn
Dong
Jiuxiang
J
D000465:Algorithms; D003198:Computer Simulation; D017143:Fuzzy Logic; D015233:Models, Statistical; D008962:Models, Theoretical; D012815:Signal Processing, Computer-Assisted