Abstract
The problem of control of flow-type heating of a viscous oil product is considered. On the basis of the spectral method the transition is carried out from the partial differential equations with variable coefficients to the infinite-dimensional system of equations in the form of the space of states. For the obtained system a dynamic controller in output is synthesized on the basis of the procedure of H2-optimization.
Similar content being viewed by others
References
Yukin, A.F., Modeling of Nonstationary Thermal Processes in Thermal-Insulating Pipelines, Izv. Vyssh. Uchebn. Zaved., Neft’ Gaz, 2003, no. 5, pp. 63–69.
Yukin, A.F., Control of Thermal Modes of Transport of Viscous and Highly Viscous Oils and Oil Products, Doctoral (Tech.) Dissertation, Ufa, 2004.
Osenin, V.N., Synthesis of the Distributed Servosystem on the Basis of the AKOR Method, Vestn. Saratov. Gos. Tekhn. Univ., 2009, no. 1(37), pp. 88–94.
Tugunov, P.I., Nestatsionarnye rezhimy perekachki neftei i nefteproduktov (Unstable Modes of Pumpingover of Oils and Oil Products), Moscow: Nedra, 1984.
Danilushkin, V.A. and Kalashnikov, S.N., Inductive Heating of Highly Viscous Oils in Pipeline Transportation, in Tr. OAO Giprovostokneft’, Samara, 2002, pp. 195–200.
Koval’, V.A., The SpectralMethod of Analysis and Synthesis of Distributed Controlled Systems, Saratov: Saratov. Gos. Tekhn. Univ., 1997.
Sadomtsev, Yu.V. and Torgashova, O.Yu., Estimation of the Limit Accuracy of Discrete Systems for a Class of Dynamic Controllers Relative to the Output, Autom. Remote Control, 2005, vol. 66, no. 9, pp. 1423–1439.
Sadomtsev, Yu.V., Design of Feedback Control Systems by Criteria of Accuracy and Robustness, Saratov: Saratov. Gos. Tekhn. Univ., 2003.
Blanvillain, P.J. and Johnson, T.L., Specific-Optimal Control with a Dual Minimal-Order Observer-Based Compensator, Int. J. Control, 1978, vol. 28, no. 2, pp. 277–294.
Lutsenko, I.V. and Sadomtsev, Yu.V., Design of Discrete H 2-optimal Reduced-order Controllers, Autom. Remote Control, 2009, vol. 70, no. 10, pp. 1698–1714.
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.A. Koval’, O.Yu. Torgashova, 2011, published in Avtomatika i Telemekhanika, 2011, No. 10, pp. 72–85.
Rights and permissions
About this article
Cite this article
Koval’, V.A., Torgashova, O.Y. Synthesis of discrete controllers of reduced dimension for a distributed servosystem. Autom Remote Control 72, 2071–2083 (2011). https://doi.org/10.1134/S0005117911100079
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117911100079