Aperiodically Intermittent Adaptive Dynamic Event-triggered Control for Linear Multi-agent Systems

This paper investigates the aperiodically intermittent adaptive dynamic event-triggered control strategy for general linear multi-agent systems. The aperiodically intermittent adaptive event-triggered control inherits the respective advantages of aperiodically intermittent control strategy, dynamic event-triggered control strategy and adaptive control strategy, which improves communication efficiency, reduces control update frequency and is closer to the practical situations. To reach leader-following consensus and save more control resources, a distributed aperiodically intermittent adaptive dynamic event-triggered scheme is devised, in which the transmission channels among agents only open if the local event-trigger condition is satisfied in predefined time intervals. Besides, the triggering mechanism can get rid of continuous inter-agent communication for monitoring the triggering condition and appropriately tune the feedback gains in real applications. With aid of the matrix theory, stability red theory of switching systems and Lyapunov function, some sufficient criteria are deduced. Finally, the effectiveness for the designed control strategies is validated by simulations.