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Robust Mixed H_2/H_\infty Filtering for Time-Delay Fuzzy Systems

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2 Author(s)
Yu-Cheng Lin ; Dept. of Mech. Eng., Nat. Central Univ., Chung-li ; Ji-Chang Lo

In this paper, a robust mixed H2/Hinfin filtering problem for continuous-time fuzzy systems subject to parameter uncertainties and multiple time-varying delays in state variables is addressed. The uncertain systems are expressed as Takagi-Sugeno fuzzy models with linear nominal parts and norm-bounded uncertainties. The main objective is to design stable filters that minimize a guaranteed cost index and achieve a prescribed Hinfin performance under worst case disturbance. Based on Lyapunov theory, both delay-independent and delay-dependent sufficient conditions guaranteeing stability and achieving prescribed performances are stated in terms of linear matrix inequalities. Therefore, stable filters can be obtained easily with existing convex algorithms. Lastly, two examples are given to illustrate the proposed design methodology

Published in:

Signal Processing, IEEE Transactions on  (Volume:54 ,  Issue: 8 )