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Output feedback stabilization of linear PDEs with finite dimensional input-output maps and Kelvin-Voigt damping

Paranjape, Aditya A. and Chung, Soon-Jo (2015) Output feedback stabilization of linear PDEs with finite dimensional input-output maps and Kelvin-Voigt damping. In: 54th IEEE Conference on Decision and Control (CDC). IEEE , New York, NY, pp. 578-583. ISBN 978-1-4799-7886-1. http://resolver.caltech.edu/CaltechAUTHORS:20161222-124053440

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Abstract

In this paper, we consider systems of partial differential equations with a finite relative degree between the input and the output. In such systems, an output feedback controller can be constructed to regulate the output with the desired convergence properties. Although the zero dynamics are infinite dimensional, we show that the controller alters the boundary conditions in such a way that it leads to a predictable expansion in the stable operating envelope of the system. Moreover, the expansion of the stable envelope depends only on the boundary conditions and the structure of the PDE, and is independent of the system parameters. The methodology is extended to output tracking and time-varying forcing functions as well. The phenomenon investigated in the paper is quite unique to partial differential equations and without any parallel in systems of ODEs.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2015.7402291DOIArticle
http://ieeexplore.ieee.org/document/7402291/PublisherArticle
ORCID:
AuthorORCID
Chung, Soon-Jo0000-0002-6657-3907
Additional Information:© 2015 IEEE. Date Added to IEEE Xplore: 11 February 2016. The authors gratefully acknowledge the reviewers’ comments and suggestions. The second author gratefully acknowledges support by the National Science Foundation (IIS-1253758; CMMI-1427111)
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFIIS-1253758
NSFCMMI-1427111
Record Number:CaltechAUTHORS:20161222-124053440
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161222-124053440
Official Citation:A. A. Paranjape and S. J. Chung, "Output feedback stabilization of linear PDEs with finite dimensional input-output maps and Kelvin-Voigt damping," 2015 54th IEEE Conference on Decision and Control (CDC), Osaka, 2015, pp. 578-583. doi: 10.1109/CDC.2015.7402291
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73161
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 Dec 2016 23:57
Last Modified:04 Jan 2017 19:32

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