Multiplex PI control for consensus in networks of heterogeneous linear agents

In this paper, we propose a multiplex proportional–integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two different layers across the network, each with its own topolog...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 67; pp. 310 - 320
Main Authors Burbano Lombana, Daniel Alberto, di Bernardo, Mario
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2016
Subjects
Consensus
Constants
Convergence
Distributed control
Disturbances
Dynamics
Mathematical models
Multiplex networks
Multiplexing
Network control systems
Networks
PI controllers
Topology
Distributed control
Multiplex networks
Network control systems
Consensus
PI controllers
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Summary:In this paper, we propose a multiplex proportional–integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two different layers across the network, each with its own topology. Sufficient conditions for convergence are derived that depend upon the structure of the network, the parameters and topologies characterizing the control layers and the node dynamics. The effectiveness of the theoretical results is illustrated numerically on a set of representative examples including a power network model.
Bibliography:ObjectType-Article-1
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ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2016.01.039