Robust Control Strategy for Networked Semi‐Markov Jump System With Random Delay

ABSTRACT A robust controller design method for networked control systems experiencing random delays, external disturbances, and random switching of subsystems is proposed. The random delays and subsystem switching process are simulated by using Markov and semi‐Markov chains, respectively. Considering various complex factors that affect system performance, a model of a networked semi‐Markov jump system (NSMJS) is established. In order to obtain system stability conditions and improve system disturbance resistance, a Lyapunov‐Krasovskii functional is constructed by combining semi‐Markov jump theory. The mean‐square stability criterion and robust stabilization criterion for the NSMJS are proposed. The effectiveness of the proposed control method is validated through numerical simulations.