Reliable Nonuniform Sampling Fuzzy Control for Nonlinear Systems With Time Delay

Authors:
Dedong Yang;Kai-Yuan Cai
Affiliations:
Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2008

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Abstract

The problem of reliable H infin nonuniform sampling fuzzy control for nonlinear systems with time delay is investigated in this paper. Utilizing the input delay approach and the descriptor model transformation, an equivalent continuous-time generalized Takagi-Sugeno fuzzy system is obtained. Sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the requirements of H infin performance criterion for the normal and possible actuator fault cases. In order to relax the conservatism of these obtained conditions, a feasible algorithm is provided to remove some slightly restricted conditions in LMIs. Finally, an illustrative example is given to show the validity of the proposed scheme.