Practical Prescribed-Time Consensus of Uncertain Multi-Agent Systems via Intermittent Dynamic Event-Triggered Control

This paper investigates the practical prescribed-time consensus (Pd-TC) for nonlinear multi-agent systems (MASs) in the presence of uncertain disturbance, employing intermittent adaptive dynamic event-triggered and self-triggered controllers, respectively. A novel lemma for achieving the practical prescribed-time stability (Pd-TS) is proposed within the framework of intermittent control (IC), where a single parameter exclusively bounds the settling time. To further reduce the triggered instants, a dynamic variable is introduced to construct the dynamic event-triggered mechanism (D-ETM). Utilizing the proposed lemma, an intermittent adaptive dynamic event-triggered controller is developed by incorporating D-ETM with an intermittent adaptive control scheme, which achieves the practical Pd-TC for uncertain nonlinear MASs. Notably, the developed controller is devoid of global information, such as algebraic connectivity and system scale. Following this, an intermittent adaptive self-triggered controller is designed to eliminate the necessity for continuous monitoring. The results presented above are finally applied to Chua’s system, accompanied by a numerical example to demonstrate the efficacy of the designed controllers.