Event-triggered H∞ control for network-based uncertain stochastic linear systems

Abstract

This paper investigates the event-triggered H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control problem for network-based uncertain stochastic linear systems with exogenous disturbance. In order to reduce the amount of signal transmission and update, the exogenous disturbance parameter is introduced into the sampled-data based event-triggered scheme (ETS). Under the state feedback control, a time-delay closed-loop uncertain stochastic system model is further developed. Then by using Lyapunov-Krasovskii functional method, a set of sufficient conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance of the resulting time-delay closed-loop system. Subsequently, we present conditions to design the parameters of the state feedback gain and the ETS. Finally, an example is provided to show the effectiveness of the proposed method.