PAL2v Filter

PAL2v Filter, built with PANCLctx in cascade

This is a PAL2v Filter in simulink, based on PAL2v logic (Paraconsistent Annotated Logic by 2-value annotation), built with PANCLctx (Paraconsistent Artificial Neural Cell of Learning by contradiction extraction).

One square wave is applied to the input of the filter. 3 outputs are available, from the 1st, 2nd and 3rd cells, related to 1st order filter, 2nd order filter or 3rd order filter.

The transfer function of one single cell is available at [1]:

Other configurations are possible, adding or removing cells. The adjust of the filter is at the input FL (Factor of Learning), that must be between 0 and 1. Zero means no learning, and 1 means that there is no effect of the cell.

Other references are:

[1] A. Carvalho, J. F. Justo, B. A. Angélico, et al. Paraconsistent State Estimator for a Furuta Pendulum Control. SN COMPUT. SCI. 4, 29 (2023). https://doi.org/10.1007/s42979-022-01427-z

[2] J. I. Da Silva Filho, G. Lambert-Torres, Germano J. M. Abe. (2010). Uncertainty treatment using paraconsistent logic: introducing paraconsistent artificial neural networks. IOS Press. ISBN: 978-1-60750-557-0.

[3] A. De Carvalho, Jr., J. I. Da Silva Filho, M. C. Mario, M. F. Blos and C. M. da Cruz, "A Study of Paraconsistent Artificial Neural Cell of Learning Applied as PAL2v Filter," in IEEE Latin America Transactions, vol. 16, no. 1, pp. 202-209, Jan. 2018, doi: 10.1109/TLA.2018.8291474.

[4] A. Carvalho, et al. Paraconsistent logic approach for active noise reduction. Journal of Mechatronic Engineering. 2020;3(1):2–8.

[5] Da Silva Filho, J.I.; Fernandes, C.L.M.; Silveira, R.S.d.; Gomes, P.M.; Matos, S.L.d.C.; Santo, L.d.E.; Nunes, V.C.; Côrtes, H.M.; Lopes, W.A.C.; Mario, M.C.; Garcia, D.V.; Torres, C.R.; Abe, J.M.; Lambert-Torres, G. Process of Learning from Demonstration with Paraconsistent Artificial Neural Cells for Application in Linear Cartesian Robots. Robotics 2023, 12, 69. https://doi.org/10.3390/robotics12030069.