Consensus Control for Linear Multiagent Systems Under Delayed Transmitted Information

Zhenhua Wang · IEEE Transactions on Systems Man and Cybernetics Systems · 2023

In this study, consensus issue for general linear continuous-time multiagent systems (MASs) in a directed network is addressed. Suppose that the neighbors’ transmitted information is impacted by a communication delay, explicit consensus criteria are, respectively, obtained for both known delay and unknown delay cases. Especially, a new protocol applying the delay information is proposed if the delay is available. Furthermore, it is proved that the influence of delay can be eliminated thoroughly if the agent dynamic is at most critically unstable or the network topology satisfies the presented criteria. Finally, two simulation paradigms are performed to clarify the practicality of the newly developed methods.

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