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

Abstract

This paper studies the output feedback H∞ 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∞ controller for the disturbance attenuation level γ are given in the terms of linear matrix inequalities. The effectiveness and superiority of the proposed method are verified using three numerical examples.