Sliding mode control for networked systems with Markovian jumping parameters

This work considers the problem of sliding mode control for stochastic systems with Markovian jumping parameters, in which the packet dropout may happen when the state information is transmitted from the sensor to the controller. By means of an estimator for loss signals, an integral-like sliding function is constructed. And then, a sliding mode controller involving in dropout probability is designed such that the effect of packet losses can be effectively attenuated. Moreover, the analysis on both the stability of sliding mode dynamics and the reachability of sliding surface are made. Finally, the numerical simulation results are given.