Aperiodic sampled-data controller design for switched Itô stochastic Markovian jump systems

Abstract

In this paper, aperiodic sampled-data control for a class of Itô stochastic Markovian jump systems with switching transition rate matrix containing partially known elements is investigated. By introducing a loop-based Lyapunov functional, mean square exponential stability criteria are presented and mode-dependent aperiodic sampled-data controllers are designed. Due to the constraint on the upper bound of the sampling interval is no greater than the dwell time, the transition rate matrix may switch in a sampling interval. The issue concerning the asynchronization between the sampled-data controller mode and the system mode is hence considered. A practical RLC electrical circuit example is presented to illustrate the effectiveness of the method.