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Multiobjective Control for T–S Fuzzy Singularly Perturbed Systems

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2 Author(s)
Chunyu Yang ; Inst. of Syst. Sci., Northeastern Univ., Shenyang ; Qingling Zhang

This paper investigates the problem of multiobjective control for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed systems. Based on a linear matrix inequality (LMI) approach, a state feedback controller that depends on the singular perturbation parameter epsiv is developed such that: 1) the H infin performance of the resulting closed-loop system is less than or equal to some prescribed value; 2) the closed-loop poles of each local system are within a prespecified LMI stability region; and 3) for a given upper bound epsivmacr for the singular perturbation parameter epsiv, both 1) and 2) are guaranteed for all epsiv isin [0,epsivmacr.] It is shown that the epsiv-dependent controller is well defined for any epsiv isin [0,epsivmacr], and can be reduced to an epsiv-independent one if epsiv is sufficiently small. Finally, a practical example is given to show the feasibility and effectiveness of the obtained method.

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:17 ,  Issue: 1 )