Event-Triggered Fault-Tolerant Sliding Mode Control for Discrete Markov Jump Systems via Guaranteed Cost Control Approach

This note is committed to the investigation of fault-tolerant event-triggered sliding mode control issue for a kind of Markov jump discrete-time uncertain system. A novel mode-independent switching surface is first constructed, and the introduction of event-triggered method reduces the frequency of state transmission. Then, several sufficiency criteria to guarantee the stochastic stability of the discrete-time MJSs under consideration and the guaranteed cost performance analysis are derived and the reachability of our designed common switching surface within finite time can be ensured. At last, the effectiveness of our theoretical findings is demonstrated by a presented numerical example.