Convex Synthesis of Strictly Negative Imaginary Feedback Controllers

Ryan James Caverly; Manash Chakraborty

doi:10.1109/CDC40024.2019.9029323

Convex Synthesis of Strictly Negative Imaginary Feedback Controllers

Ryan James Caverly, Manash Chakraborty

Aerospace Engineering and Mechanics

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

2 Scopus citations

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 language	English (US)
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7578-7583
Number of pages	6
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9029323
State	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: Dec 11 2019 → Dec 13 2019

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	12/11/19 → 12/13/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Publisher link

10.1109/CDC40024.2019.9029323

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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). Article 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

Convex Synthesis of Strictly Negative Imaginary Feedback Controllers. / Caverly, Ryan James; Chakraborty, Manash.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 7578-7583 9029323 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

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

Caverly, RJ & Chakraborty, M 2019, Convex Synthesis of Strictly Negative Imaginary Feedback Controllers. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029323, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, Institute of Electrical and Electronics Engineers Inc., pp. 7578-7583, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 12/11/19. https://doi.org/10.1109/CDC40024.2019.9029323

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AB - 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.

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Convex Synthesis of Strictly Negative Imaginary Feedback Controllers

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