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Switching-Type H Filter Design for T - S Fuzzy Systems With Unknown or Partially Unknown Membership Functions

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2 Author(s)
Xiao-Jian Li ; College of Sciences, Northeastern University, Shenyang, China ; Guang-Hong Yang

This paper is concerned with the H filter design problem for Takagi-Sugeno (T-S) fuzzy systems with unknown or partially unknown membership functions. If the membership functions are allowed to be unknown or partially unknown, then a fuzzy system may describe a wide class of nonlinear systems. However, in this case, the filter design of fuzzy systems, which is based on parallel distributed compensator strategy, is infeasible. To tackle this difficulty, a switching mechanism, which depends on the lower and upper bounds of the unknown membership functions, is introduced to construct the H filter with varying gains. Some examples given in the simulation section show that the proposed method can achieve a better disturbance attenuation performance than a simple fixed-gain filter design approach.

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:21 ,  Issue: 2 )