Journal
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
Volume 38, Issue 5, Pages 1371-1389Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2008.927277
Keywords
fuzzy filtering; H-infinity filtering; linear matrix inequalities (LMIs); singularly perturbed systems; Takagi-Sugeno (T-S) fuzzy models
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Funding
- Program for New Century Excellent Talents in University [NCET-04-0283]
- Funds for Creative Research Groups of China [60521003]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT0421]
- State Key Program of National Natural Science of China [60534010]
- Funds of National Science of China [60674021]
- 111 Project [B08015]
- Ministry of Education, China [20060145019]
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This paper considers the problem of designing H. 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 E, and H. filters for a fuzzy singularly perturbed system. When the bound of singularly perturbed parameter E is not under consideration, the result reduces to an LMI-based design method for H. 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. 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.
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