Distributed Optimal Control of Discrete-Time Linear Systems Over Networks

In this article, we consider the distributed linear-quadratic-Gaussian optimal control problem for discrete-time systems over networks. In particular, the feedback controller is composed of local control stations which receive some measurement data from the plant process and regulate a portion of th...

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Bibliographic Details
Published in:IEEE transactions on control of network systems Vol. 11; no. 2; pp. 671 - 682
Main Authors: Battilotti, Stefano, Cacace, Filippo, d'Angelo, Massimiliano
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.06.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Control systems
Discrete time systems
Distributed algorithms
Distributed algorithms/control
Feedback control
Linear quadratic Gaussian control
Linear systems
Networked control systems
Nodes
Optimal control
Process control
Regulators
Sensors
Stability analysis
Symmetric matrices
ISSN:2325-5870, 2372-2533
Online Access:Get full text
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Summary:In this article, we consider the distributed linear-quadratic-Gaussian optimal control problem for discrete-time systems over networks. In particular, the feedback controller is composed of local control stations which receive some measurement data from the plant process and regulate a portion of the input signal. We provide a solution when the nodes have information on the structural data of the whole network but take local actions, and when only local information on the network is available to the nodes. The proposed solution is arbitrarily close to the optimal centralized one when the intermediate number of consensus steps is sufficiently large.
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ISSN:2325-5870
2372-2533
DOI:10.1109/TCNS.2023.3295346