Consensus with a reference state for fractional-order multi-agent systems

Abstract

International audienc

Discrete leader‐following consensus

“…In the literature, many different consensus algorithms have been proposed; we can mention here those based on nearest-neighbor rules, 3,[8][9][10][11][12] bounded confidence, [13][14][15][16] or a virtual leader. [17][18][19] The virtual leader is a special agent whose motion is independent of all the other agents and thus is followed by all the other ones. Such a problem is commonly called leader-following consensus problem.…”

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

“…Compared with the works of Xu et al 38 and Wang and Yang 39 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 [16][17][18][19][20][21][22][23][24][25][26][27][28] 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.…”

“…The consensus of fractional‐order MASs (FOMASs) was researched firstly in the works of Cao et al, where a general FOMAS was presented and the consensus conditions related to the interaction graph and the fractional order were given. The consensus of FOMASs with a constant reference state and a time‐varying reference state was investigated in the work of Bai et al, respectively. The leader‐following consensus of FOMASs, where the dynamics of leader and followers were nonlinear systems, was considered in the work of Yu et al A necessary and sufficient condition was proposed for the leader‐following consensus of FOMASs in which the followers were governed by fractional‐order dynamics with the order less than two, whereas the leader was depicted by the second‐order dynamics .…”

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

“…Consensus of fractional-order multi-agent systems was first discussed by Cao, Li, Ren, and Chen (2010). Recently, more results about the consensus of fractional-order multi-agent systems have been published (Bai, Wen, Rahmania, & Yu, 2015;Bai, Wen, Rahmania, Yu, & Chu, 2016;Yang, Zhu, & Cao, 2014;Yu, Jiang, & Hu, 2015).…”