Open AccessOptimal interconnection design for leader–follower coordination with noise
Author(s) -
Yang Wen,
Yan Fan,
Shi Hongbo
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0747
Subject(s) - interconnection , control theory (sociology) , noise (video) , computer science , control engineering , engineering , control (management) , telecommunications , artificial intelligence , image (mathematics)
In this study, we address a leader–follower coordination problem with noise in a multi‐agent system. In order to minimise the mean‐square deviation of the individual state of followers from the state of the leader, we develop a strategy to select a subset of followers to connect with the leader. We adopt the method of convex optimisation to solve both constant edge weight and different edge weight case. Furthermore, we propose optimised algorithms to find the fastest convergence speed. We also study optimisation problems for leader–follower system with a dynamic leader, and also provide a sufficient condition for the convergence of the expected value of the total mean‐square deviation. Examples and applications of the developed methodology are also discussed.