Adaptive control of Networked Distributed Systems with unknown interconnections

Abstract

Networked Distributed Control Systems (NDCS) consist of a number of interacting subsystems and usually face the challenge of delays induced by the communication network. In this paper we consider the case where each subsystem communicates with other subsystems its state information with a communication delay. We assume that each subsystem knows its own dynamics but does not know how neighboring subsystems affect its dynamics, i.e., the interconnection matrices are unknown. We proposed local robust adaptive control schemes whose objective is to stabilize the local subsystems, weaken the interconnections and guarantee global stability for the NDCS despite the communication delays. We showed analytically that if the unknown interconnections can be weakened by each subsystem and if the communication delay is small the overall system is exponentially stable. © 2016 IEEE.