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The problem of state-feedback control design for discrete-time Takagi-Sugeno fuzzy systems is investigated in this paper. The strategy relies on the use of a quadratic in the state Lyapunov function that presents a homogeneous polynomial dependence of arbitrary degree g on the first instant of time of the premise variables and a multi-affine dependence on the successive instants of time of the premise...
State feedback synthesis is considered for linear discrete-time systems to minimize an upper bound of the closed-loop induced l 1 -norm. A sufficient condition, called Generalized Bounded Real Inequality (GBRI), is presented to establish such a bound. An algorithm similar to the Invariant Kernel Algorithm (Shamma, IEEE Trans. Automat. Control 41 (1996) 533-544) and the contractive set algorithm...
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