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Article Dans Une Revue IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics Année : 2008

Discrete Takagi-Sugeno's Fuzzy Models: Reduction of the Number of LMI in fuzzy control techniques

Résumé

Conditions about the stabilization of Takagi-Sugeno fuzzy models can systematically be derived and solved usually using linear matrix inequality problems. Current research tries to lower any pessimism. However, often it leads to an important increase in the number of decision variables, and problems become unsolvable. In this correspondence, we choose to reduce the number of decision variables while not raising the conservatism in comparison with previous results. This correspondence deals with the discrete case, which is harder to solve. We supply results about the stabilization, the regulator problem, and also H infin control.

Domaines

Automatique
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Dates et versions

hal-00519429 , version 1 (20-09-2010)

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Citer

François Delmotte, Thierry-Marie Guerra, Alexandre Kruszewski. Discrete Takagi-Sugeno's Fuzzy Models: Reduction of the Number of LMI in fuzzy control techniques. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2008, 38 (5), pp.1423-1427. ⟨10.1109/TSMCB.2008.927263⟩. ⟨hal-00519429⟩
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