Resilient and Event-Triggered Control for Linear Systems: A Looped-Functional Approach

This paper discusses the design of resilient and event-triggered control for linear aperiodic sampled-data systems. The stability and stabilization problem of the aperiodic sampled-data systems under a dynamic event-triggered scheme and against a stochastic deception attack is addressed in a novel looped-functional framework. A quadratic event-triggered scheme with a discrete-time dynamic variable is proposed in which the system states are only evaluated at aperiodic sampling instants so that the Zeno phenomenon can be avoided consequently. The system is assumed to be intruded by a deception attack signal which is determined by a Bernoulli random variable. Our objective in this paper is to derive the stability conditions firstly and then provide the resilient and event-triggered controller design for the aperiodic sampled-data system. With a certain H_∞ performance index, the closed-loop system is stochasticlly stable against the deception attack and the control updates can be obviously reduced by the proposed dynamic event-triggered scheme, which means the system performance, the limited communication resources, and the system security can be well balanced in our design. Finally, the validity and effectiveness of the proposed method is demonstrated by the simulations.