Hierarchical Model Predictive Control for Multi-Robot Navigation.

Ensuring the stability is the most important requirement for the navigation control of multi-robot systems with no reference trajectory. The popular heuristic-search methods cannot provide theoretical guarantees on stability. In this paper, we propose a Hierarchical Model Predictive Control scheme that employs reachable sets to decouple the navigation problem of linear dynamical multirobot systems. The proposed control scheme guarantees the stability and feasibility, and is more efficient and viable than other Model Predictive Control schemes, as evidenced by our simulation results.