Dissipative control of Markovian jump fuzzy systems under nonhomogeneity and asynchronism

This paper deals with the problem of asynchronous mode-dependent dissipative control synthesis for a class of nonhomogeneous discrete-time Markovian jump fuzzy systems. By exploring the asynchronous phenomenon between plant and control operation modes characterized by nonhomogeneous Markov chains, a more realistic situation is reflected in the relaxation problem of multi-parameterized matrix inequalities. Further, via the proposed relaxation method, (1) the strict range constraints are imposed on multiple time-varying parameters and (2) the conditional relation between asynchronous Markov chains is definitely exploited to achieve less conservative results. Finally, two examples are given to illustrate the validity of the proposed approach.