Proceedings of the 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)

Matrix Expression of Pan Boolean Algebra PID Control

Authors
Jin Chen, Yubiao Xu, Yeheng Hu
Corresponding Author
Jin Chen
Available Online December 2016.
DOI
https://doi.org/10.2991/iceeecs-16.2016.129How to use a DOI?
Keywords
Pan Boolean algebra; PID control; semi-tensor product of matrices
Abstract
By using the semi-tensor product of matrices theory method, this paper studies the Pan Boolean algebra PID control algorithm's conversion problem. It was found that the power computation of n-ary logical structure matrix can be converted into counting its (n+1)-ary structure matrix by its truth table. The Pan Boolean algebra PID control algorithm consisted of nine Pan Boolean logic equations is expressed by a set of structure matrix equations which have only three structure matrices. So the Pan Boolean logic algorithm can be converted into ordinary algebraic control algorithm.
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Proceedings
2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)
Part of series
Advances in Computer Science Research
Publication Date
December 2016
ISBN
978-94-6252-265-7
ISSN
2352-538X
DOI
https://doi.org/10.2991/iceeecs-16.2016.129How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Jin Chen
AU  - Yubiao Xu
AU  - Yeheng Hu
PY  - 2016/12
DA  - 2016/12
TI  - Matrix Expression of Pan Boolean Algebra PID Control
BT  - 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/iceeecs-16.2016.129
DO  - https://doi.org/10.2991/iceeecs-16.2016.129
ID  - Chen2016/12
ER  -