Sliding Mode Control for Networked Markovian Jump Systems with Disturbances

This article studies the Markovian jump networked control systems (MJNCS) with disturbances and variable network topology. Firstly, to obtain the information of the states and external disturbances, an unknown input observer (UIO) is designed instantaneously. Then, The control signal is constructed based on equivalent method, and the external disturbance is compensated by online information. Moreover, a new sliding function is constructed to bring it down to a stable origin. Additionally, the stability of the control system is proved. Secondly, to deal with the changes of network topology, a super twisting-based controller (STW) is adopted. The stability of STW controller is analyzed by using linear matrix inequality (LMT) technique and Lyapunov functional method. To make the closed-loop system stable, a composite super twisting sliding mode controller (CSTWSMC) based on two control signals is proposed for the first time. Finally, a result analysis is given to verify the performance of the proposed control methodology.