2020/05/24 by Luis Aguilar, Yury Orlov, Aguilar, Luis +3
Computer Science · Engineering · #FOS: Electrical engineering #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2005.11658
Submitted to 2020 CDC (Conference on Decision and Control) and IEEE Control Systems Letters
arxiv created 2020/05/24 · arxiv updated 2020/05/26
A network of agents, modeled by a class of wave PDEs, is under investigation. One agent in the network plays the role of a leader, and all the remaining "follower" agents are required to asymptotically track the state of the leader. Only boundary sensing of the agent's state is assumed, and each agent is controlled through the boundary by Neumann-type actuation. A linear interaction protocol is proposed and analyzed by means of a Lyapunov-based approach. A simple set of tuning rules, guaranteeing the exponential achievement of synchronization, is obtained. In addition, an exponential ISS relation, characterizing the effects on the tracking accuracy of boundary and in-domain disturbances, is derived for the closed loop system.