On sliding mode control for networked control systems with semi-Markovian switching and random sensor delays

• With the help of Luenberger observer, the estimation of networked semi-Markovian switching system states is obtained and the closed-loop error dynamics is acquired.
• Construct the appropriate integral sliding surface function to achieve exponential stability for networked semi-Markovian switching system with random sensor delay in the mean square sense.
• Propose the appropriate controller to perform the reachability analysis and guarantee the trajectory driven onto the predefined sliding surface.

This paper focuses on the problem of sliding mode control for networked control systems with semi-Markovian switching and random measurement, where the measurement channel is assumed to suffer from random sensor delays. A Luenberger observer is designed to generate the estimation of system states, and the integral sliding surface is constructed to guarantee exponential stability of networked semi-Markovian switching systems in the mean square sense. Then a proper controller is synthesized to ensure that the trajectory of the closed-loop networked semi-Markovian switching systems can be driven onto the prescribed sliding surface. Finally, numerical examples and simulations are provided to illustrate the effectiveness of the integral sliding mode control scheme.