Utilization of signal spaces for improvement of efficiency of metallurgical process

I. Leššo, P. Flegner, J. Futó, Z. Sabová Technical University of Košice, BERG Faculty, Košice, Slovakia The contribution deals with some questions associated with utilization of mathematical spaces, especially Hilbert spaces, in the area of process control. The authors of the paper point out the possible method of prediction of undesirable leaks of CO gas in oxygen converter in steel production. This prediction is based upon monitoring concurrent vibrations of the converter that are processed in abstract Hilbert space. To the current state of the process corresponds a point in the space. To the critical state of the process then corresponds a particular point of its trajectory. The structures of abstract space enable to visualize the trajectory of the process in the converter and quantitatively specify the distance of the process from the critical point.