Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering

Parameter Estimation of Least Squares Collocation

Authors
Lihong Jin
Corresponding Author
Lihong Jin
Available Online July 2016.
DOI
https://doi.org/10.2991/mcae-16.2016.44How to use a DOI?
Keywords
regularizer matrix; parametric estimation; least squares collocation; smoothing parameter
Abstract

In this paper, based on penalized least squares, the penalized weighted sum of squares is set up, we deduce the calculation method of a positively definite regularity matrix and obtain the corresponding results in least squares collocation model. According to the foundational properties of the random errors, we study how to choice a reasonable smoothing parameter and regularizer matrix. Concepts of confidence region in probability and method of region estimation are used. The adaptation of this technique is more flexible than the traditional model.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering
Series
Advances in Engineering Research
Publication Date
July 2016
ISBN
978-94-6252-237-4
ISSN
2352-5401
DOI
https://doi.org/10.2991/mcae-16.2016.44How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Lihong Jin
PY  - 2016/07
DA  - 2016/07
TI  - Parameter Estimation of Least Squares Collocation
BT  - Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering
PB  - Atlantis Press
SP  - 184
EP  - 188
SN  - 2352-5401
UR  - https://doi.org/10.2991/mcae-16.2016.44
DO  - https://doi.org/10.2991/mcae-16.2016.44
ID  - Jin2016/07
ER  -