Journal
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
Volume 36, Issue 1, Pages 216-222Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2005.856145
Keywords
BMIs; ILMI; robust Eta(infinity) control; T-S fuzzy model
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This paper examines the problem of robust H-infinity static output feedback control of a Takagi-Sugeno fuzzy system. The proposed robust H-infinity static output feedback controller guarantees the L-2 gain of the mapping from the exogenous disturbances to the regulated output to be less than or equal to a prescribed level. The existence of a robust H infinity static output feedback control is given in terms of the solvability of bilinear matrix inequalities. An iterative algorithm based on the linear matrix inequality is developed to compute robust H-infinity static output feedback gains. To reduce the conservatism of the design, the structural information of membership function characteristics is incorporated. A numerical example is used to illustrate the validity of the design methodologies.
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