Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

This paper studies the output feedback H infinity control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov-Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and quantified information. Secondly, the upper bound of the weak infinitesimal generation operator of the Lyapunov-Krasovskii function is estimated by combining Wirtinger's-based integral inequality and reciprocally convex inequality. Finally, based on the Lyapunov stability theory, the closed-loop stability criterion of event-triggered Markov-type networked control systems and the design method of the output feedback H infinity controller for the disturbance attenuation level gamma are given in the terms of linear matrix inequalities. The effectiveness and superiority of the proposed method are verified using three numerical examples.