Semi-Global Output Containment Control of Linear Multi-Agent Systems with Actuator Saturation

Abstract

In this paper, we study the semi-global output containment control problem of a multi-agent system in the presence of actuator saturation over a directed network. The leader and follower agents are of different dynamics, and the follower agents are affected by disturbances generated by the leader agents through directed paths in the communication topology. The control objective of the output containment control is to drive the output trajectories of the follower agents to converge to the convex hull spanned by the outputs of the leader agents in the presence of disturbances. Low gain feedback containment protocols are constructed based on the output regulation approach and distributed observers. It is shown that semi-global output containment control can be achieved by the proposed protocols, if each follower agent is connected to at least one leader agent through a directed path in the communication topology. Simulation results verify the theoretical conclusions.