Semi-Global Containment Control of Linear Agents with Actuator Position and Rate Saturation: The State Feedback Case

This paper studies semi-global containment control problem for a multi-agent system. Each follower agent in the system is described by a general linear system in the presence of both actuator position and rate saturation. A linear state feedback containment control law is constructed for each follower agent by using low gain approach such that the states of all follower agents will converge to the convex hull formed by the leader agents asymptotically when the communication topology among follower agents is a connected undirect graph and each leader agent is a neighbor of at least one follower agent. Simulation results illustrate the theoretical results.