Distributed Data-driven Predictive Control via Dissipative Behavior Synthesis

Fuente: arXiv
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Main Authors: Yan, Yitao, Bao, Jie, Huang, Biao
Format: Preprint
Published: 2023
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author Yan, Yitao
Bao, Jie
Huang, Biao
author_facet Yan, Yitao
Bao, Jie
Huang, Biao
contents This paper presents a distributed data-driven predictive control (DDPC) approach using the behavioral framework. It aims to design a network of controllers for an interconnected system with linear time-invariant (LTI) subsystems such that a given global (network-wide) cost function is minimized while desired control performance (e.g., network stability and disturbance rejection) is achieved using dissipativity in the quadratic difference form (QdF). By viewing dissipativity as a behavior and integrating it into the control design as a virtual dynamical system, the proposed approach carries out the entire design process in a unified framework with a set-theoretic viewpoint. This leads to an effective data-driven distributed control design, where the global design goal can be achieved by distributed optimization based on the local QdF conditions. The approach is illustrated by an example throughout the paper.
format Preprint
id arxiv_https___arxiv_org_abs_2303_00251
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Distributed Data-driven Predictive Control via Dissipative Behavior Synthesis
Yan, Yitao
Bao, Jie
Huang, Biao
Systems and Control
This paper presents a distributed data-driven predictive control (DDPC) approach using the behavioral framework. It aims to design a network of controllers for an interconnected system with linear time-invariant (LTI) subsystems such that a given global (network-wide) cost function is minimized while desired control performance (e.g., network stability and disturbance rejection) is achieved using dissipativity in the quadratic difference form (QdF). By viewing dissipativity as a behavior and integrating it into the control design as a virtual dynamical system, the proposed approach carries out the entire design process in a unified framework with a set-theoretic viewpoint. This leads to an effective data-driven distributed control design, where the global design goal can be achieved by distributed optimization based on the local QdF conditions. The approach is illustrated by an example throughout the paper.
title Distributed Data-driven Predictive Control via Dissipative Behavior Synthesis
topic Systems and Control
url https://arxiv.org/abs/2303.00251