The monitoring system based on lookup algorithm for objects described by ordinary differential equations

¹ The State Higher School of Technology and Economics in Jaroslaw, Institute of Technical Engineering, 37-500 Jaroslaw, Poland
² University of Rzeszow, Faculty of Mathematics and Natural Sciences, Department of Computer Engineering, 35-959 Rzeszow, Poland
³ Warsaw University of Life Sciences - SGGW, Faculty of Applied Informatics and Mathematics, Department of Applied Informatics, 02-787 Warsaw, Poland

^* Corresponding author: przemyslaw.hawro@pwste.edu.pl

Abstract

The article presents a new approach to monitoring systems of a certain class using the lookup algorithm. The main task is to generate object signals based on measured but only some selected signals. This idea is based on the Kalman filter approach, but the calculation method of the gain coefficients is different. Its values are determined in a similar way as weights in neural networks during learning (incremental method). The proposed lookup algorithm uses expert knowledge a priori for determining gain corrections, and its functioning is presented for the case of two monitoring error zones. The presented results clearly indicate the advantage of the lookup algorithm over the Kalman filter. Two RMSE and MPE indicators were used for the quality of monitoring.