A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems

Nicolò Gionfra; Guillaume Sandou; Houria Siguerdidjane; Damien Faille

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Paper

A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems

Topics: Distributed Control Systems

In Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 72-81, 2017 , Madrid, Spain

Authors: Nicolò Gionfra ¹ ; Guillaume Sandou ¹ ; Houria Siguerdidjane ¹ and Damien Faille ²

Affiliations: ¹ Université Paris-Saclay, France ; ² EDF R&D, France

Keyword(s): Multi-agent Systems, Consensus Control, Discrete-Time LTI Systems.

Related Ontology Subjects/Areas/Topics: Distributed Control Systems ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization

Abstract: The problem of discrete-time multi-agent systems governed by general MIMO dynamics is addressed. By employing a PID-like distributed protocol, we aim to solve two relevant consensus problems, namely the leaderless consensus under disturbances and leader-follower under time-varying reference state ones. Sufficient conditions for stability as well as two LMI approaches to tune the controller gains are provided. The latter are either based on a H∞ formulation of the problem or on fast response to a reference exogenous signal. Numerical simulations give some insight of which tuning should be considered according to the problem addressed.

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Paper citation in several formats:

Gionfra, N.; Sandou, G.; Siguerdidjane, H. and Faille, D. (2017). A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems. In Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-263-9; ISSN 2184-2809, SciTePress, pages 72-81. DOI: 10.5220/0006420500720081

@conference{icinco17,
author={Nicolò Gionfra. and Guillaume Sandou. and Houria Siguerdidjane. and Damien Faille.},
title={A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems},
booktitle={Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2017},
pages={72-81},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006420500720081},
isbn={978-989-758-263-9},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems
SN - 978-989-758-263-9
IS - 2184-2809
AU - Gionfra, N.
AU - Sandou, G.
AU - Siguerdidjane, H.
AU - Faille, D.
PY - 2017
SP - 72
EP - 81
DO - 10.5220/0006420500720081
PB - SciTePress