Distributed Adaptive Output Containment Control of Unknown Non-minimum Phase Linear Multi-agent Systems

This paper investigates the output containment control problem of unknown heterogeneous non-minimum phase linear multi-agent systems over directed communication graphs. The dynamics of each follower are allowed to be unknown. To address the output containment control problem of the concerned multi-agent system, a novel distributed adaptive pole placement control strategy is developed. It has been shown that the proposed distributed adaptive control strategy guarantees the boundedness of all the signals in the resulting closed-loop system and the convergence of the followers' outputs to a convex hull spanned by the leaders' outputs. The efficacy of the proposed control strategy is demonstrated by a simulation example.