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Robust H/sub /spl infin// static output feedback control of fuzzy systems: an ILMI approach
Huang, D.; Sing Kiong Nguang;
Systems, Man, and Cybernetics, Part B, IEEE Transactions on
Volume 36,
Issue 1,
Feb. 2006
Page(s):216
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222
Abstract:
This paper examines the problem of robust H/sub /spl infin// static output feedback control of a Takagi-Sugeno fuzzy system. The proposed robust H/sub /spl infin// static output feedback controller guarantees the L/sub 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/sub /spl infin// 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/sub /spl infin// 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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