H∞ control for Markovian jump fuzzy systems with partly unknown transition rates and input saturation

This paper considers less conservative conditions of H∞ control for Markovian jump fuzzy systems (MJFSs) with partly unknown transition rates and input saturation. To find H∞ control for level γ, a set invariance condition and the stabilization conditions are first formulated in terms of parameterized linear matrix inequalities (PLMIs) by considering the properties of transition rates. Then, to derive the less conservative stabilization conditions, all possible slack variables are incorporated into the relaxation process with fully considering the property of the fuzzy weights. Two numerical examples are provided to illustrate the effectiveness of the proposed method.