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

Peter Benner, Tim Mitchell, Michael Overton

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3000-3005
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - Jan 18 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period12/17/1812/19/18

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Benner, P., Mitchell, T., & Overton, M. (2019). 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). [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