Reachable set estimation and aperiodic sampled-data controller design for Markovian jump systems

In this article, the problem of reachable set estimation (RSE) and aperiodic sampled-data controller design are considered for Markovian jump systems (MJSs) with unit-energy bounded disturbance and unit-peak bounded disturbance inputs. First, by constructing mode-dependent loop-based Lyapunov functional, the linear matrix inequalities method is used to derive sufficient conditions for all states of MJSs under zero initial conditions to be bounded by ellipsoids. Second, RSE is considered in the process of designing the aperiodic sampled-data controller. The objective is that the resulting ellipsoid comprises the reachable set of the closed-loop system. Finally, the effectiveness of these methods is illustrated by the actual aircraft model and simulation results in this article. Furthermore, compared with other articles through numerical comparison, the method provided in this article can obtain less conservative results.