Reliable dissipative control for saturated nonhomogeneous Markovian jump fuzzy systems with general transition rates

The reliable dissipative control problem for nonhomogeneous Markovian jump fuzzy systems with generally incomplete transition rates and actuator saturation and faults is addressed in this paper, such that the reduction of conservatism and computational complexity can be simultaneously achieved. According to the framework of parameterized matrix inequality, the set invariance and stabilization conditions are first derived with consideration of dissipativity performance and then are formulated in terms of linear matrix inequalities according to our proposed relaxation process. Through the relaxation process, 1) more strict range constraints are imposed on time-varying parameters, and 2) the use of unnecessary and non-impactive slack variables is avoided, the effectiveness of which is illustrated through two numerical examples.