Please use this identifier to cite or link to this item: https://doi.org/10.1109/TSMCB.2007.891542
Title: Observer-based H∞ control for T-S fuzzy systems with time delay: Delay-dependent design method
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
He, Y. 
Chen, B.
Keywords: H∞ control
Observer
T-S fuzzy systems
Time delay
Issue Date: Aug-2007
Citation: Lin, C., Wang, Q.-G., Lee, T.H., He, Y., Chen, B. (2007-08). Observer-based H∞ control for T-S fuzzy systems with time delay: Delay-dependent design method. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 37 (4) : 1030-1038. ScholarBank@NUS Repository. https://doi.org/10.1109/TSMCB.2007.891542
Abstract: This correspondence studies the problem of observer-based H∞ control for time-delay Takagi-Sugeno (T-S) fuzzy systems. It provides a delay-dependent linear matrix inequality (LMI)-based method for the control design. It is known that the key important problem in the literature, even for delay-independent case, lies in the difficulty of decoupling matrix variables in corresponding matrix inequalities. This correspondence suggests a decoupling technique for solving matrix inequalities with coupled variables, and provides an LMI-based algorithm by adopting the idea of the cone complementarity problem. The derivation relies on the appropriate choice of Lyaponuv-Krasovskii functionals which incorporate the intersections among local systems. Illustrative examples are given to show the effectiveness of the present delay-dependent result. © 2007 IEEE.
Source Title: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
URI: http://scholarbank.nus.edu.sg/handle/10635/82800
ISSN: 10834419
DOI: 10.1109/TSMCB.2007.891542
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