TY - JOUR
T1 - Solvability conditions and design for H∞ & H2 almost state synchronization of homogeneous multi-agent systems
AU - Stoorvogel, Antonie Arij
AU - Saberi, Ali
AU - Zhang, Meirong
AU - Liu, Zhenwei
PY - 2019/3/1
Y1 - 2019/3/1
N2 - This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and with a directed communication topology. Agents are connected via diffusive full-state coupling or diffusive partial-state coupling. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of protocols based on either an algebraic Riccati equation (ARE) method or a directed eigen structure assignment method are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol for full-state coupling is static, while for partial-state coupling it is dynamic.
AB - This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and with a directed communication topology. Agents are connected via diffusive full-state coupling or diffusive partial-state coupling. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of protocols based on either an algebraic Riccati equation (ARE) method or a directed eigen structure assignment method are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol for full-state coupling is static, while for partial-state coupling it is dynamic.
KW - Distributed control
KW - H-infinity and H-2 almost state synchronization
KW - Multi-agent systems
UR - http://www.scopus.com/inward/record.url?scp=85052337424&partnerID=8YFLogxK
U2 - 10.1016/j.ejcon.2018.08.001
DO - 10.1016/j.ejcon.2018.08.001
M3 - Article
VL - 46
SP - 36
EP - 48
JO - European journal of control
JF - European journal of control
SN - 0947-3580
ER -