Leader-following discrete consensus control of multi-agent systems with fixed and switching topologies

Abstract In this paper a leader-following discrete type multi-agent consensus control problem with both switching and fixed interaction topologies has been discussed. Multi-agent system subjected to external disturbances is considered and dynamic output feedback based consensus controller was designed to ensure that the H_∞ performance was achieved. A Powerful LMI algorithm is used to analyze consensus of multi-agent system. Besides, the feedback gain matrix is obtained through two LMIs that guarantee the existence of common matrices satisfying consensus of multi-agent systems under dynamically interaction topology. Finally, a simulation example is presented to demonstrate the robustness of the proposed method.