An Overview of Recent Advances in the Event-Triggered Consensus of Multi-Agent Systems with Actuator Saturations

Abstract

The event-triggered consensus of multi-agent systems received extensive attention in academia and industry perspectives since it ensures all agents eventually converge to a stable state while reducing the utilization of network communication resources effectively. However, the practical limitation of the actuator could lead to a saturation phenomenon, which may degrade the systems or even induce instability. This paper plans to offer a detailed review of some recent results in the event-triggered consensus of multi-agent systems subject to actuator saturation. First, the multi-agent system model with actuator saturation constraints is given, and the basic framework of the event-triggering mechanism is introduced. Second, representative results reported in recent valuable papers are reviewed based on methods for dealing with saturated terms, including low-gain feedback, sector-bounded conditions, and convex hull representations. Finally, some challenging topics worthy of research efforts are dicussed for future research.

Leader-following cluster-delay consensus control for first-order nonlinear multi-agent systems based on event-triggered mechanism

“…Therefore, according to inequality (23), we can get _ V 2 (t)40, the network systems with ( 1) and ( 2) can realize cluster consensus control objective with leaderdelay. The proof of Theorem 3 is completed.…”

“…Therefore, in order to improve resource utilization and computing power, the time-triggered control protocols are proposed in Olfati-Saber and Murray 20 and Ren et al 21 Compared with time-triggered control, the main characteristic of the event-triggered control is that the given triggering conditions are the decisive factor when updating the controller, and the timing device cannot determine it. Since then, event-triggered control has attracted widely attentions from scholars, for example, Li et al, 22 Xu and Huang, 23 and Zhou et al 24 Li et al 22 propose a new adaptive event-triggered protocol for MASs with external interference. Xu and Huang 23 study the consensus problem for MASs affected by actuator saturation based on event-triggered mechanism.…”

“…Since then, event-triggered control has attracted widely attentions from scholars, for example, Li et al, 22 Xu and Huang, 23 and Zhou et al 24 Li et al 22 propose a new adaptive event-triggered protocol for MASs with external interference. Xu and Huang 23 study the consensus problem for MASs affected by actuator saturation based on event-triggered mechanism. Zhou et al 24 work on the finite-time fuzzy adaptive event-triggered consensus control for unknown nonlinear MASs.…”

Leader-Following Consensus of Discrete-Time Nonlinear Multi-Agent Systems with Asymmetric Saturation Impulsive Control

“…The treatment of saturation in [35][36][37] considers saturation nonlinearity during the preliminary stages of controller construction and describes saturation mapping as a convex hull representation. Even though the domain of attraction estimated by convex hull representation is less conservative, the computational complexity of convex hull representation is 2 m [38], thereby escalating the computational burden exponentially. When dealing with multi-agent systems with a high number of input dimensions, there is a risk of excessive computational load.…”