Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

Peter Benner; Tim Mitchell; Michael L. Overton

doi:10.1109/CDC.2018.8619449

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

Peter Benner, Tim Mitchell, Michael L. Overton

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We propose a new algorithm for designing low-order controllers for large-scale linear time-invariant (LTI) dynamical systems with input and output. While the high cost of working with large-scale systems can mostly be avoided by first applying model order reduction, this can often result in controllers which fail to stabilize the closed-loop plant of the original full-order system. By considering a modified version of the optimal H-{infty} controller problem that incorporates both full- and reduced-order model data, our new method ensures stability while remaining efficient. Using a publicly available test set, we find that the controllers obtained by our method outperform those computed by RIFOO (H-Infinity Fixed-Order Optimization) when applied to reduced-order models alone.

Original language	English (US)
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3000-3005
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619449
State	Published - Jul 2 2018
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: Dec 17 2018 → Dec 19 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	12/17/18 → 12/19/18

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2018.8619449

Cite this

Benner, P., Mitchell, T., & Overton, M. L. (2018). Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 3000-3005). Article 8619449 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619449

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. / Benner, Peter; Mitchell, Tim; Overton, Michael L.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 3000-3005 8619449 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Benner, P, Mitchell, T & Overton, ML 2018, Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619449, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 3000-3005, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619449

Benner P, Mitchell T, Overton ML. Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. In 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 3000-3005. 8619449. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2018.8619449

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Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

Abstract

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