Boundary control of the beam equation by linear quadratic regulation
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Authors
Krener, Arthur J.
Subjects
Boundary control
Beam equation
Linear Quadratic Regulation
Completing the square
Beam equation
Linear Quadratic Regulation
Completing the square
Advisors
Date of Issue
2021
Date
Publisher
Elsevier B.V.
Language
Abstract
We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of the beam
equation. We use the simple technique of completing the square to get an explicit solution. By
decoupling the spatial frequencies we are able to reduce an infinite dimensional LQR to an infinite
family of two dimensional LQRs each of which can be solved explicitly.
Type
Article
Description
17 USC 105 interim-entered record; under review.
The article of record as published may be found at http://dx.doi.org/10.1016/j.sysconle.2021.104949
The article of record as published may be found at http://dx.doi.org/10.1016/j.sysconle.2021.104949
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
AFOSR, United States of America
Funder
FA9550-20-1-0318
Format
5 p.
Citation
Krener, Arthur J. "Boundary control of the beam equation by linear quadratic regulation." Systems & Control Letters 153 (2021): 104949.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.