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Control of Average and Deviation in Large-Scale Linear Networks

Denis Nikitin 1 Carlos Canudas de Wit 1 Paolo Frasca 1 
1 DANCE - Dynamics and Control of Networks
Inria Grenoble - Rhône-Alpes, GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
Abstract : This paper deals with the problem of controlling the average state of a large-scale linear network to a constant reference value. We design an output-feedback controller such that no information about state vector or system matrices is needed. For this controller to have arbitrary positive gains, it is sufficient that only a sign condition on system matrices should be satisfied. To assure that the states of the network are close to the average state, the problem of deviation minimization is solved in addition, using a novel extremum seeking algorithm.
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https://hal.archives-ouvertes.fr/hal-03170606
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Submitted on : Tuesday, March 16, 2021 - 12:16:30 PM
Last modification on : Monday, July 11, 2022 - 11:08:50 AM
Long-term archiving on: : Thursday, June 17, 2021 - 7:27:24 PM

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Denis Nikitin, Carlos Canudas de Wit, Paolo Frasca. Control of Average and Deviation in Large-Scale Linear Networks. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2021, 67 (4), pp.1639-1654. ⟨10.1109/TAC.2021.3065191⟩. ⟨hal-03170606⟩

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