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Sub-optimal boundary control of semilinear pdes using a dyadic perturbation observer

Paranjape, Aditya A. and Chung, Soon-Jo (2016) Sub-optimal boundary control of semilinear pdes using a dyadic perturbation observer. In: IEEE 55th Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 1382-1387. ISBN 978-1-5090-1837-6. https://resolver.caltech.edu/CaltechAUTHORS:20170412-170605649

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Abstract

In this paper, we present a sub-optimal controller for semilinear partial differential equations, with partially known nonlinearities, in the dyadic perturbation observer (DPO) framework. The dyadic perturbation observer uses a two-stage perturbation observer to isolate the control input from the nonlinearities, and to predict the unknown parameters of the nonlinearities. This allows us to apply well established tools from linear optimal control theory to the controlled stage of the DPO. The small gain theorem is used to derive a condition for the robustness of the closed loop system.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2016.7798459DOIArticle
http://ieeexplore.ieee.org/document/7798459/PublisherArticle
ORCID:
AuthorORCID
Chung, Soon-Jo0000-0002-6657-3907
Additional Information:© 2016 IEEE. The authors thank the reviewers for their comments and suggestions. The second author gratefully acknowledges support by the National Science Foundation (IIS-1253758; CMMI-1427111).
Funders:
Funding AgencyGrant Number
NSFIIS-1253758
NSFCMMI-1427111
Record Number:CaltechAUTHORS:20170412-170605649
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170412-170605649
Official Citation:A. A. Paranjape and S. J. Chung, "Sub-optimal boundary control of semilinear pdes using a dyadic perturbation observer," 2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, 2016, pp. 1382-1387. doi: 10.1109/CDC.2016.7798459
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76547
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:13 Apr 2017 02:53
Last Modified:03 Oct 2019 17:02

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