TY - JOUR
T1 - Leader-Follower Synchronization and ISS Analysis for a Network of Boundary-Controlled Wave PDEs
AU - Aguilar, Luis
AU - Orlov, Yury
AU - Pisano, Alessandro
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2021/4
Y1 - 2021/4
N2 - 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.
AB - 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.
KW - Distributed control
KW - distributed parameter systems
KW - multi-agent systems
KW - uncertain systems
UR - http://www.scopus.com/inward/record.url?scp=85089174549&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2020.3004505
DO - 10.1109/LCSYS.2020.3004505
M3 - Artículo
AN - SCOPUS:85089174549
SN - 2475-1456
VL - 5
SP - 683
EP - 688
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
IS - 2
M1 - 9123488
ER -