Abstract
This paper investigates the bipartite consensus of linear discrete-time multiagent systems (MASs) with exogenous disturbances. A discrete-time disturbance-observer- (DTDO-) based technology is involved for attenuating the exogenous disturbances. And both the state feedback and observer-based output feedback bipartite consensus protocols are proposed by using the DTDO method. It turned out that bipartite consensus can be realized under the given protocols if the topology is connected and structurally balanced. Finally, numerical simulations are presented to illustrate the theoretical findings.
Highlights
In the past two decades, the coordination of multiagent systems (MASs) has attracted much attention for its wide applications [1,2,3,4]
Bipartite consensus was firstly investigated for MASs with antagonistic links [17], in which the nodes were divided into two parts, one will asymptotically track the leader and the other part will asymptotically converge to the reverse state of the leader. e topology of the discussed network was assumed as structurally balanced
Gauge transformation was used for solving the problems of stability analysis. en, many efforts were devoted to bipartite consensus of MASs with antagonistic links or competitive topologies
Summary
In the past two decades, the coordination of MASs has attracted much attention for its wide applications [1,2,3,4]. The above papers mainly investigated bipartite consensus of continuous-time MASs without disturbances. Using the continuous DO method proposed in [26], Yang et al [27] solved the consensus problems of second-order MASs with exogenous disturbances. Intermittent consensus of MASs with exogenous disturbances was investigated by using both state feedback control and output feedback control protocols [29]. There exist few results about bipartite consensus for discrete-time MASs with competitive topology and exogenous disturbances. Motivated by the above literatures, this paper investigates the bipartite consensus of discrete-time linear MASs with exogenous disturbances. E DTDO-based method is used for attenuating the exogenous disturbances Both the state feedback and output feedback control protocols are proposed in this paper.
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