Nonfragile Integral‐Based Event‐Triggered Control of Uncertain Cyber‐Physical Systems under Cyber‐Attacks

This article studies the problem of nonfragile integral‐based event‐triggered control for uncertain cyber‐physical systems under cyber‐attacks. An integral‐based event‐triggered scheme is proposed to reduce the data transmissions and save the limited network resources. The triggering condition is related to the mean of system state over a finite time interval instead of instant system state. Random cyber‐attacks in a communication channel are taken into account and described by a stochastic variable subject to Bernoulli distribution. A novel Lyapunov–Krasovskii functional based on Legendre polynomials is constructed, and the Bessel–Legendre inequality technique is employed to handle the integral term induced by the integral‐based event‐triggered scheme. Resorting to these treatments, sufficient conditions are established via a set of linear matrix inequalities to guarantee the asymptotic mean‐square stability of the closed‐loop system. Finally, a numerical example shows that the presented method is effective.