Matrix Expression of Pan Boolean Algebra PID Control
- https://doi.org/10.2991/iceeecs-16.2016.129How to use a DOI?
- Pan Boolean algebra; PID control; semi-tensor product of matrices
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.
- © 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 - 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 - https://doi.org/10.2991/iceeecs-16.2016.129 ID - Chen2016/12 ER -