Aperiodic sampled‐data controller design for stochastic Markovian jump systems and its application

다국어 초록 (Multilingual Abstract)

In this paper, aperiodic sampled‐data controller design problem is solved for stochastic Markovian jump systems (SMJSs). By introducing mode‐dependent one‐sided loop‐based Lyapunov functional and mode‐dependent two‐sided loop‐based Lyapunov functional and using Itô formula, two different stochastic stability conditions for SMJSs under aperiodic sampled‐data control are presented, respectively. Based on these two stability conditions, corresponding mode‐dependent aperiodic sampled‐data controller is designed for SMJSs. Finally, practical aircraft model are applied to illustrate the effectiveness of the method. It is also shown that mode‐dependent two‐sided loop‐based Lyapunov functional can obtain a larger upper bound of the sampling interval than mode‐dependent one‐sided loop‐based Lyapunov functional.