Leader-Following Formation Control With Time-Varying Formations and Bounded Controls for Agents with Double-Integrator Dynamics
Zachary S. Lippay, Jesse B. Hoagg · 2020
We present a formation control algorithm for double-integrator agents, where the formation is time varying and the agents' controls satisfy a priori bounds (e.g., the controls accommodate actuator saturation). We assume that each agent has relative-position-and-velocity feedback of its neighbor agents, where the communication structure is a strongly connected graph, and at least one agent has a measurement of its position and velocity relative to the leader (if applicable). The main analytic results provide sufficient conditions such that all agents have a priori bounded controls and converge to the desired time-varying relative positions with one another and the leader. The results are global for an undirected communication structure, and local for the directed case. We also demonstrate the algorithm in rotorcraft experiments.