Observer‐based event‐triggered control for consensus of general linear MASs

Bipartite tracking consensus of linear multi‐agent systems with a dynamic leader under signed digraph

“…To overcome this difficulty, the property of the positive definite matrix is used, and two new Lyapunov functions (15) and (29) are proposed for solving the static consensus protocol design and fully distributed consensus protocol design, respectively, in this paper. Remark 4 It is interesting to note that, different from the results presented in [42], which requires that if the leader is a neighbour of the i th agent, the communication weight considered in this paper is allowed to be non‐zero when there exists an edge from the leader to the i th agent, which is more reasonable in the framework of signed digraph. Remark 5 In this paper, we consider bipartite tracking consensus of linear multi‐agent systems with a dynamic leader under signed digraph. It is worth noting that the bipartite containment problem with multiple leaders has been investigated in [49], and the consensus problem via event‐triggered strategy has received considerable attention [50, 51]. On the other hand, it is challenging to tackle the bipartite consensus problem when the signed digraph is structurally unbalanced, since by Lemmas 1 and 2 there is not an appropriate matrix S such that has all non‐negative entries and is not a non‐singular M ‐matrix.…”

“…On the other hand, it is challenging to tackle the bipartite consensus problem when the signed digraph is structurally unbalanced, since by Lemmas 1 and 2 there is not an appropriate matrix S such that has all non‐negative entries and is not a non‐singular M ‐matrix. Therefore, by employing the ideas presented in [49–51], it is interesting to further consider the extension of the proposed results to bipartite containment control problem and bipartite consensus problem via event‐triggered strategy when the signed digraph is structurally unbalanced, in the future work.…”

Observer-Based Leader-Following Formation Control for Multi-Robot With Obstacle Avoidance

“…In [23], the integral action was incorporated into the observer controller to improve the formation tracking and observation performance. To guarantee the consensus of general linear multi-robot systems, observer-based event-triggered approach was presented by Wang et al [24]. Wen et al [25] developed the distributed controller based on a reduced-order state observer to track the high-dimensional leader robot.…”

Event‐triggered leader–following consensus of non‐linear multi‐agent systems with switched dynamics

“…In the implementation of distributed consensus algorithms, the continuous communication between agents may lead to large data transmission load and the waste of power resources. As an effective method to reduce the communication traffic, eventtriggered control has drawn more and more attention [19][20][21][22][23]. Tremendous progress has been made in event-triggered consensus control of non-linear multi-agent systems.…”