Open AccessDistributed quadratic optimisation for linear multi‐agent systems over jointly connected networks
Author(s) -
Huang Bomin,
Zou Yao,
Meng Ziyang
Publication year - 2019
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.2018.5585
Subject(s) - control theory (sociology) , computer science , observer (physics) , quadratic equation , matching (statistics) , multi agent system , graph , mathematical optimization , state (computer science) , function (biology) , disturbance (geology) , topology (electrical circuits) , mathematics , control (management) , algorithm , theoretical computer science , artificial intelligence , geometry , paleontology , statistics , physics , quantum mechanics , evolutionary biology , combinatorics , biology
In this study, the distributed optimisation problem for linear multi‐agent systems with disturbance rejection is considered. The topology graph is assumed to be uniformly jointly strongly connected and the disturbance is not limited to satisfy the matching condition. Each agent is assigned with a local quadratic cost function and the objective is to minimise the sum of local cost functions based on information exchange. The authors propose a distributed observer for each agent such that other agents' cost functions are obtained. Then, the state feedback and output feedback optimal algorithms are designed based on the output of the distributed observer. The theoretical results are validated by simulations.