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TRILINEAR NEIGHBORHOOD MODEL OF THE PROCESS OF FORMING THE TEMPERATURE OF HOT-ROLLED STRIP COILING

Annotation

The trilinear neighborhood model of the process of forming the temperature of hot-rolled strip coiling where the parameters are a state, control and information is considered. The purpose of the work is to find the values of the components of the model ensuring steady functioning of the system. The technique of defining the structure of the extrema is presented. The existence condition for extrema is received and checked on a concrete example. The suggestion about the area in which it is impossible to speak with definiteness about stability of the system is made. The hypothesis about a condition of the stable balance loss and of the transition of system to a new state is proposed.

Keywords

neighborhood system; hot-rolled strip; run-off table; coiling temperature; general parametric equation

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DOI

10.20310/1810-0198-2016-21-2-465-472

UDC

519.854

Pages

465-472

References

1. Shmyrin A. M., Sedykh I. A Identification and Control Algorithms of Functioning for Neighborhood Systems Based on Petri Nets // Automation and Remote Control. 2010. V. 71. Issue 6. P. 1265–1274. 2. Blyumin S.L., Shmyrin A.M., Shmyrina O.A. Bilineynyie okrestnostnyie sistemyi: monografiya. Lipetsk: LGTU, 2006. 3. Konovalov Yu.V. Spravochnik prokatchika. Kniga 1. Proizvodstvo goryachekatannyih listov i polos. M.: Teplotehnik, 2008. 4. Mukhin U.A., Soloviev V.N., Makarov E.V. Improving of Low-Carbon Hot-Rolled Strips Production at the High Acceleration Rolling // New Technologies and Achievements in Metallurgy and Materials Engineering: a collective monograph. Czestochowa. 2012. P. 423–427. 5. Gilmor R. Prikladnaya teoriya katastrof: V 2-h knigah. Kn. 1. Per. s angl. M.: Mir, 1984.

Received

2016-03-21

Section of issue

The Functional-Differential Equations and Inclusions and their Applications in Mathematical Modeling

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