Consensus Tracking of Multi-Agent Systems in The Presence of Byzantine Agents Using Model Predictive Control

This paper deals with the consensus tracking of multi-agent systems in the presence of some Byzantine agents. Steering the agents toward a predefined reference via model predictive control and, besides, encountering the misbehaving agents, are the main aims of the paper. Using graph properties alongside the Weighted-Mean-Subsequence-Reduced (W-MSR) algorithm led to a control method for special kinds of multi-agent systems. Combining model predictive control with W-MSR results in a new algorithm called Reference-Based-W-MSR (RBW-MSR), which has made the consensus point fixed according to a predetermined reference. The effectiveness of the proposed algorithm would be illustrated via simulation results in which different scenarios have been examined to exhibit the success of the method.