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Abstract
This paper is concerned with decentralized mixed filter design for discrete time fuzzy large-scale systems. Each of them consists of N sub-systems which are represented by Takagi–Sugeno fuzzy models. The main objective is to design stable filters that minimize a guaranteed cost index and to achieve a prescribed H
∞ performance. Based on Lyapunov theory, it is shown that the sufficient conditions guaranteeing stability and achieving prescribed performance are established by solving a set of linear matrix inequalities. A simulation example is also given to show the effectiveness of the present approach.
Acknowledgements
The work described in this paper was supported by a grant from the GRF: CityU 113308 of the Government of Hong Kong SAR, the National Natural Science Foundation of China under Grant 60904004, the fundamental research funds for the central universities, the key Youth Science and Technology Foundation of University of Electronic Science and Technology of China (No. L08010201JX0720).