Bipartite and cooperative output synchronizations of linear heterogeneous agents: A unified framework

Abstract

This paper investigates cooperative output synchronization and bipartite output synchronization of a group of linear heterogeneous agents in a unified framework. For a structurally balanced signed graph, we prove that the bipartite output synchronization is equivalent to the cooperative output synchronization over an unsigned graph whose adjacency matrix is obtained by taking the absolute value of each entry in the adjacency matrix of the signed graph. We obtain a new H∞-criterion which is sufficient for both cooperative output synchronization and bipartite output synchronization.

Bipartite output synchronization of heterogeneous multiagent systems on signed digraphs

“…Therefore, both control protocols are fully distributed. This is in direct contrast with the work of Yaghmaie et al, which requires the global information in the local control design. The proposed dynamic output‐feedback approach does not need any selfknowledge, such as local states/outputs, and only uses the signed relative output information from neighbors. This can have many practical applications.…”

“…A dynamic output‐feedback design is proposed to solve the conventional output synchronization problem of heterogeneous MAS. Very recently, the leader‐follower bipartite output synchronization of linear heterogeneous MAS was studied in the work of Yaghmaie et al An output‐feedback controller uses the local output information and the bipartite relative output information. However, the global information of the graph topology is needed in the local control design for each agent.…”

“…Moreover, the compensator employed in this approach incorporates only 1 copy of the virtual exosystem's dynamics, regardless of the dimensions of the outputs. This results in lower‐dimensional compensators and controllers and, hence, is more computationally tractable compared to the p ‐copy internal model principle in the work of Yaghmaie et al…”

Weighted Consensus Problem for Multiagent Systems with Edge‐ and Node‐Weighted Directed Graphs

“…e equivalence of bipartite consensus and conventional consensus under state feedback and output control laws were discussed in [24]. A unified framework for bipartite output synchronization of heterogeneous linear multiagent systems was proposed in [25]. In [26], the authors discussed the effects of measurement noises on bipartite consensus problem with first-order multiagent systems under undirected signed graphs.…”

Output regulation of linear heterogeneous multi-agent systems

“…The significance of this contribution is that all kinds of control techniques developed for solving the COR problem can be directly applied to solve the BOR problem (and vice versa), in particular, that generalized H ∞ criterion introduced in the first contribution can also be applied to the BOR problem. The results of this chapter have been published in [107,108].…”