Secure Consensus Control for Multi-Agent Systems Over Structurally Unbalanced Signed Graphs

This paper investigates the secure control problem for linear multi-agent systems over structurally unbalanced signed graphs. To improve data security, an encoding/decoding technique consisting of an encoder/decoder pair is proposed to encrypt the original data on each agent. With the help of the encoding-decoding technique, a consensus secure controller is designed. The range of the controller parameter is determined and a sufficient condition is established to ensure the convergence of the states of all agents. A simultaneous data exchange and secure control algorithm is provided. Finally, the effectiveness of the developed secure controller is illustrated by a numerical example.