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H state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions

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2 Author(s)
Doo Jin Choi ; Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., South Korea ; PooGyeon Park

For discrete-time Takagi-Sugeno (TS) fuzzy systems, we propose an H state-feedback fuzzy controller associated with a fuzzy weighting-dependent Lyapunov function. The controller, which is designed via parameterized linear matrix inequalities (PLMIs), employs not only the current-time but also the one-step-past information on the time-varying fuzzy weighting functions. Appropriately selecting the structures of variables in the PLMIs allows us to find an LMI formulation as a special case.

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Fuzzy Systems, IEEE Transactions on  (Volume:11 ,  Issue: 2 )