Matrix Expression of Pan Boolean Algebra PID Control

DOI

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.

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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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  - Proceedings of the 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)
PB  - Atlantis Press
SP  - 653
EP  - 658
SN  - 2352-538X
UR  - https://doi.org/10.2991/iceeecs-16.2016.129
DO  - 10.2991/iceeecs-16.2016.129
ID  - Chen2016/12
ER  -