Abstract
In modern automation systems, when creating of the regulating action the predicted values obtained from mathematical models are used and so, as a consequence, the efficiency of the enterprise will depend on the developed mathematical model adequacy. If the mathematical model is formulated in a tensorial form, then the prerequisite is created for the model to describe the process in an adequate manner. In this paper, we give an example of the development of a tensor model for a sugar house juice extraction complex and its use on the example of a structural diagram of an operating system. This structural diagram of the operating system consists of six main components. At the first stage the radius vectors (input and regulated values) are formed. At the second and third stage tensors are calculated. That will mathematically describe the connection between the input and output parameters of the operating system. At the fourth step, an unbalance signal in local coordinates and the controller coefficients is calculated. At the fifth and sixth steps, values of control signals in local coordinates are calculated. This approach allows us to calculate a regulating action to improve all the performance indicators of the technological site.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Pushanko, M.M., Verkhola, L.A.: Ekstraktsiia tsukru z buriakiv: mozhlyvosti naiavnoho obladnannia. Tsukor Ukrainy, No. 11. pp. 33–41 (2011)
Korobiichuk, I., Lutskaya, N., Ladanyuk, A., Naku, S., Kachniarz, M., Nowicki, M., Szewczyk, R.: Synthesis of optimal robust regulator for food processing facilities. Adv. Intell. Syst. Comput. 550, 58–66 (2017). https://doi.org/10.1007/978-3-319-54042-9_5
Boiko, V.O., Maslikov, M.O., Priadko, M.O.: Vyznachennia kontsentratsii i temperatury dyfuziinoho soku. Naukovi pratsi Natsionalnoho universytetu kharchovykh tekhnolohii. 18, 86–89 (2006)
Korobiichuk, I., Ladanyuk, A., Shumyhai, D., Boyko, R., Reshetiuk, V., Kamiński, M.: How to increase efficiency of automatic control of complex plants by development and implementation of coordination control system. Adv. Intell. Syst. Comput. 543, 189–195 (2017). https://doi.org/10.1007/978-3-319-48923-0_23
Sidletskyi, V.M.: Vdoskonalennia avtomatyzovanoi systemy keruvannia tekhnolohich-nym protsesom pidpryiemstva kharchovoi promyslovosti. Problemy ta perspektyvy rozvytku enerhetyky, elektrotekhnolohii ta avtomatyky v APK: IV Mizhnarodna naukovo-praktychna konferentsiia, 21–22 lystopada 2016 r, NUBIP, Kyiv, pp. 71–72 (2016)
Korobiichuk, I., Dobrzhansky, O., Kachniarz, M.: Remote control of nonlinear motion for mechatronic machine by means of CoDeSys compatible industrial controller. Tehnički vjesnik/Technical Gazette 24(6), 1661–1667 (2017). https://doi.org/10.17559/TV-20151110164217
Petrushka, V.P., Buryy, N.A., Seregin, A.A., Lyulka, D.N.: Avtomatizatsiya i opyt ekspluatatsii diffuzionnoy ustanovki EKA-3. Sakhar, No. 1, p. 52 (2005)
Kharlamenko, V., Ruban, S., Korobiichuk, I., Petruk, O.: Adaptive control of dynamic load in blooming mill with online estimation of process parameters based on the modified Kaczmarz Algorithm. Adv. Intell. Syst. Comput. 543, 227–233 (2017). https://doi.org/10.1007/978-3-319-48923-0_28
Trehub, V.H., Yu, D.Y.: Avtomatyzatsiia potoku dyfuziinoho soku. Avtomatyzatsiia vyrobnychykh protsesiv, no. 1(14), 66–68 (2002)
Ladaniuk, A.P., Zaiets, N.A., Vlasenko, L.O.: Suchasni tekhnolohii konstruiuvannia system avtomatyzatsii skladnykh obiektiv (merezhevi struktury, adaptatsiia, diahnostyka ta prohnozuvannia): monohrafiia, Nats. un-t kharch. tekhn, Lira-K, Kyiv, 312 p. (2016). ISBN 978-617-7320-34-9
Korobiichuk, I., Ladanyuk, A., Zaiets, N., Vlasenko, L.: Modern development technologies and investigation of food production technological complex automated systems. In: ACM International Conference Proceeding Series, pp. 52–57 (2018). https://doi.org/10.1145/3185066.3185075
Sidletskyi, V.M., Elperin, I.V., Polupan, V.V.: Analiz ne vymiriuvalnykh parametriv na rivni rozpodilenoho keruvannia dlia avtomatyzovanoi systemy, obiektiv i kompleksiv kharchovoi promyslovosti. Naukovi pratsi Natsionalnoho universytetu kharchovykh tekhnolohii 22(3), 7–15 (2016)
Korobiichuk, I., Siumachenko, D., Smityuh, Y., Shumyhai, D.: Research on automatic controllers for plants with significant delay. Adv. Intell. Syst. Comput. 519, 449–457 (2017). https://doi.org/10.1007/978-3-319-46490-9_60
Varychev, A.I., Sidletsky, V.M.: Avtomatyzovana systema upravlinnia dyfuziinoiu stantsiieiu, yak skladovoiu kompiuterno-intehrovanoi systemy tsukrovoho zavodu, z vykorystanniam tezornoho analizu. Suchasni metody, informatsiine, prohramne ta tekhnichne zabezpechennia system keruvannia orhanizatsiino-tekhnichnymy ta tekhnolohichnymy kompleksamy: materialy IV mizhnarodnoi naukovo-tekhnichnoi Internet - konferentsii, 22 lystopada 2017 r., NUKhT, Kyiv, pp. 185–186 (2017)
Fletcher, P.T., Joshi, S.: Riemannian geometry for the statistical analysis of diffusion tensor data. Sig. Process. 87(2), 250–262 (2007). https://doi.org/10.1016/j.sigpro.2005.12.018
Vasilescu, M.A., Terzopoulos, D.O.: Multilinear analysis of image ensembles: tensorfaces. In: Lecture Notes in Computer Science, pp. 447–460 (2002)
Chen, J., Jia, B., Zhang, K.: Trifocal tensor-based adaptive visual trajectory tracking control of mobile robots. IEEE Trans. Cybern. 47(11), 3784–3798 (2017). https://doi.org/10.1109/TCYB.2016.2582210
Strang, G.: The fundamental theorem of linear algebra. Am. Math. Mon. 100(9), 848–855 (1993)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Sidletskyi, V., Korobiichuk, I., Ladaniuk, A., Elperin, I., Rzeplińska-Rykała, K. (2020). Development of the Structure of an Automated Control System Using Tensor Techniques for a Diffusion Station. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_18
Download citation
DOI: https://doi.org/10.1007/978-3-030-13273-6_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-13272-9
Online ISBN: 978-3-030-13273-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)