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Secure consensus control of multi-agent systems based on median state strategy. (Chinese. English summary) Zbl 1438.93217

Summary: For consensus control of multi-agent systems under malicious attacks, a fast and effective secure consensus algorithm is proposed. In each status update process, normal agents select the median state value in an arranged value sequence collected at the same time from their neighbor agents. The computation complexity is reduced. The strong network connectivity and vast resource needed for information storage of the traditional algorithm are also reduced. The proposed algorithm makes the whole system much simple, flexible, and cheap. By using iterative learning and convex hull conditions, we create a virtual network topology with the same connectivity condition as the original system directed graph. Under the condition that the system satisfies certain network topology, it is proved that the system is safe and consistent. Simulation results verify the effectiveness of the proposed algorithm.

MSC:

93D50 Consensus
93A16 Multi-agent systems
93B47 Iterative learning control
93B35 Sensitivity (robustness)
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