Robust H∞ static output feedback control of fuzzy systems: an ILMI approach

Authors:
D. Huang;Sing Kiong Nguang
Affiliations:
Dept. of Electr. & Comput. Eng., Univ. of Auckland, New Zealand;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2006

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Abstract

This paper examines the problem of robust H∞ static output feedback control of a Takagi-Sugeno fuzzy system. The proposed robust H∞ static output feedback controller guarantees the L2 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∞ 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∞ 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.