Event-Triggered Finite-Time H∞ Control for Discrete-Time Markov Jump Systems with Nonhomogeneous Processes

This paper investigates the event-triggered finite-time $H_{\infty }$ control problem for discrete-time nonhomogeneous Markov jump systems. First by applying a mode-dependent event-triggered strategy, the burden of communication is reduced. Then, based on finite-time analysis and linear matrix inequality technique, event-triggered controllers are designed and sufficient conditions are given, which ensures the finite-time boundedness of the closed-loop system in $H_{\infty }$ sense. Finally, an example is utilized to show the effectiveness of the proposed controller design approach.

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