Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control

Abstract

This paper investigates the consensus problem of leader-following multi-agent systems with fractionalorder nonlinear dynamics. A typical event is defined as some error signals exceeding a given threshold. By applying Lyapunov functional approach and skills of computing function limit, consensus of the controlled multi-agent systems can be reached asymptotically. Meanwhile, the event-triggered algorithm can exclude Zeno behaviours. Finally, a numerical simulation is exploited to verify the effectiveness of the theoretical result.

Leader‐following consensus of general linear fractional‐order multiagent systems with input delay via event‐triggered control

“…Remark Compared with the works of Xu et al and Wang and Yang under the event‐triggered method, the systems in this paper depicted by general linear models and subject to input delay are more general and the control input is distributed. Compared with which studied the consensus of FOMASs, each follower agent in this paper only receives the information and updates its control input at some discrete time instants.…”

“…Remark Compared with the works of Xu et al and Wang and Yang, using event‐triggered method, the systems governed by general linear dynamics and subject to input delay in this paper are more general and the control protocol is distributed.…”

“…In the work of Xu et al, the consensus of FOMASs on undirected graph was investigated with centralized and distributed event‐triggered approaches, respectively. In the work of Wang and Yang, the leader‐following consensus of FOMASs with nonlinear dynamics was studied via event‐triggered method.…”

Neural Networks Based Adaptive Consensus for a Class of Fractional‐Order Uncertain Nonlinear Multiagent Systems

“…In addition, various valid control laws are designed to solve different problems based on different control methods, such as the adaptive control method [22], the fractional-order PID control method [23], the sliding mode control method [24], and the event triggering control method [25]. Moreover, MASs have been studied from the linear systems to the nonlinear systems [26][27][28][29][30][31], where researchers have focused on studying the nonlinear fractional-order MASs; they can cause systems degraded performance or instability, and they are both inevitable in practical applications for the dynamic systems or the effectiveness of the external disturbance; therefore, it is necessary to consider the nonlinear MASs.…”

“…Compared to the existing results on fractionalorder MASs, this paper mainly has the following differences. Firstly, compared with the results about the fractional-order nonlinear MASs [27][28][29][30][31], this paper discusses the general fractional-order nonlinear MASs with external disturbance, where the Lipschitz condition and boundedness condition are not necessary for the nonlinear terms. Secondly, different from the existing control methods [22][23][24][25], the paper designs a developed RBFNNs based approximation control law to overcome the unknown nonlinear terms in fractional-order MASs.…”