Quadratic Regularization of Data-Enabled Predictive Control: Theory and Application to Power Converter Experiments


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Date

2021

Publication Type

Conference Paper

ETH Bibliography

yes

Citations

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Data

Abstract

Data-driven control that circumvents the process of system identification by providing optimal control inputs directly from system data has attracted renewed attention in recent years. In this paper, we focus on understanding the effects of the regularization on the data-enabled predictive control (DeePC) algorithm. We provide theoretical motivation and interpretation for including a quadratic regularization term. Our analysis shows that the quadratic regularization term leads to robust and optimal solutions with regards to disturbances affecting the data. Moreover, when the input/output constraints are inactive, the quadratic regularization leads to a closed-form solution of the DeePC algorithm and thus enables fast calculations. On this basis, we propose a framework for data-driven synchronization and power regulations of power converters, which is tested by high-fidelity simulations and experiments.

Publication status

published

Book title

19th IFAC Symposium on System Identification, SYSID 2021

Volume

54 (7)

Pages / Article No.

192 - 197

Publisher

Elsevier

Event

19th IFAC Symposium on System Identification (SYSID 2021)

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Data-driven control; predictive control; robust optimization; regularization; power converters

Organisational unit

03751 - Lygeros, John / Lygeros, John check_circle
09478 - Dörfler, Florian / Dörfler, Florian check_circle

Notes

Funding

787845 - Optimal control at large (EC)

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