Convex Synthesis of Strictly Negative Imaginary Feedback Controllers

Ryan James Caverly, Manash Chakraborty

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents linear matrix inequality approaches to optimally synthesize strictly negative imaginary (SNI) dynamic output feedback controllers. In particular, convex controller synthesis methods are introduced that minimize either the weighted {\mathcal{H}-2} or {\mathcal{H}-\infty } norm of the difference between a specified optimal controller and the synthesized SNI controller. Numerical examples are included that demonstrate the performance and robustness of the proposed synthesis methods when used for the vibration control of an Euler-Bernoulli beam.

Original languageEnglish (US)
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7578-7583
Number of pages6
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: Dec 11 2019Dec 13 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December
ISSN (Print)0743-1546

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
CountryFrance
CityNice
Period12/11/1912/13/19

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  • Cite this

    Caverly, R. J., & Chakraborty, M. (2019). Convex Synthesis of Strictly Negative Imaginary Feedback Controllers. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 7578-7583). [9029323] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029323