Distributed linear supervisory control

In this work, we propose a distributed version of the logic-based supervisory adaptive control scheme. Given a network of agents whose dynamics contain unknown parameters, the distributed supervisory control scheme is used to assist the agents to converge to a certain set-point without requiring them to have explicit knowledge of that set-point. Unlike the classical supervisory control scheme where a centralized supervisor makes switching decisions among the candidate controllers, in our scheme, each agent is equipped with a local supervisor that switches among the available controllers. The switching decisions made at a certain agent depend only on the information from its neighboring agents. We apply our framework to the distributed averaging problem in the presence of large modeling uncertainty and support our findings by simulations.