Asynchronous dissipative control for nonhomogeneous Markov jump systems with dual Markovian wireless fading channels

Abstract

This article is devoted to the matter of asynchronous state feedback control for a class of nonhomogeneous Markov jump systems subjected to the dual Markovian wireless fading channel. A key feature here is that dual Markov chain is employed to model the stochastically switching of channel state with nonhomogeneous Markov process, which characterize both the transition of channel mode itself and the dependence on the system mode. Meanwhile, channel state-dependent packet dropout rate is time-varying with different channel mode. In the case of that, existing methods are difficult to deal with, resulting in the degradation of system performance. To this end, hidden Markov model-based asynchronous controller is firstly presented with compensated measurements. Secondly, co-designing with the asynchronous controller, a novel dynamic compensator is constructed to handle the mismatched measurements. Then, since both the Markov process of system and channel are considered, dual mode-dependent Lyapunov functional is constructed to verify the stochastic stability of the augmented system, as well as the strictly dissipative performance, which leads to less conservatism compared to the single mode-dependent one. Finally, a boost converter model driven by pulse-width-modulation is presented to demonstrate the validation of the proposed strategies.