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Model-matching methods and distributed control of networks consisting of a class of heterogeneous dynamic agents

Vlahakis, E. E. and Halikias, G. ORCID: 0000-0003-1260-1383 (2021). Model-matching methods and distributed control of networks consisting of a class of heterogeneous dynamic agents. International Journal of Control, doi: 10.1080/00207179.2021.1893822

Abstract

Many recent results on distributed control of multi-agent networks rely on a number of simplifying assumptions that facilitate the solution of regulation problems associated with large-scale networked systems. Identical subsystem models are a typical assumption made in networked control systems which often fail in practice. In this paper, we propose a systematic method for removing this assumption, leading to a general approach to distributed-control design for stabilising networks of multiple non-identical dynamic agents. Local subsystems represented as autonomous dynamic agents are assumed to share a set of structural properties, (controllability) indices. Our approach relies on the solution of certain model-matching type problems using local state-feedback and state/input-matrix transformations that map local dynamics to a target system, selected to minimise joint control effort. By adapting well-established distributed LQR control design methodologies to our framework, the stabilisation problem of networks of non-identical dynamic agents is solved. The applicability of our approach is illustrated via a synchronisation example of eleven harmonic oscillators with non-identical dynamics communicating over a connected graph.

Publication Type: Article
Additional Information: © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.
Publisher Keywords: Heterogeneous dynamics, model-matching, controllability indices, distributed control, distributed LQR
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
Date available in CRO: 28 Apr 2021 07:32
Date deposited: 28 April 2021
Date of acceptance: 13 February 2021
Date of first online publication: 16 March 2021
URI: https://openaccess.city.ac.uk/id/eprint/26047
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