Summary: The bipartite tracking control problem for a class of multi-agent system under the influence of faults is addressed in this article by using the memory-feedback control approach. In particular, an undirected structurally balanced signed network graph is used to express the cooperative and antagonistic communication between neighboring agents. In order to reach the desired bipartite tracking performance as well as to estimate the unified unknown input of the leader and the fault signal, a novel intermediate estimator is proposed. Using appropriate Lyapunov-Krasovskii functional the required constraints that ensure the bipartite tracking performance of the considered multi-agent system are developed in terms of linear matrix inequalities. The required memory-feedback controller and intermediate estimator gain parameters are obtained by solving the set of linear matrix inequality constraints. At last, simulation examples are given to exhibit the efficacy of the developed theoretical results.
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