This paper considers the problem of optimal control of the process of going from one stable regime to another in piping the hydrocarbon raw material. We have investigated the influence of the transient period on the dissipation factor of the system, the length of the part of the pipeline, and the difference between the parameters of the initial and final stable regimes with account for the technological limitations set on the control actions and phase variables. The dependence of the optimal transient period on the class and range of permissible control functions, the process parameter, and its initial and final regimes has been analyzed.
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References
I. A. Charnyi, Unsteady Motion of a Real Fluid in Pipes [in Russian], Nedra, Moscow (1975).
R. A. Aliev, V. D. Belousov, A. G. Nemudrov, et al., Pipeline Transport of Oil and Gas, Textbook for Universities [in Russian], Nedra, Moscow (1988).
A. G. Butkovskii, Methods of Controlling Systems with Distributed Parameters [in Russian], Nedra, Moscow (1975).
A. G. Butkovskii, The Theory of Optimal Control of Systems with Distributed Parameters [in Russian], Nauka, Moscow (1985).
F. P. Vasil’ev, On duality in the linear problems of control and observation, Differents. Uravn., 31, No. 11, 1893–1900 (1995).
V. A. Il’in, Wave control with boundary control at one end with the other end fixed, Differents. Uravn., 35, No. 12, 1640–1659 (1999).
G. D. Chabakauri, Optimization of the boundary control of the process of oscillations at one end with the other end fixed in the case of a limited energy, Differents. Uravn., 38, No. 2, 277–284 (2002).
A. V. Borovskikh, Formulas of the boundary control of an inhomogeneous jet I, II, Differents. Uravn., 43, No. 1, 64–89; 43, No. 5, 640–649 (2007).
F. P. Vasil’ev, Optimization Methods [in Russian], Faktorial Press, Moscow (2002).
K. R. Aidazade and A. B. Ragimov, On the solution of the problems of optimal control for the class of step functions, Avtom. Vychisl. Tekh., No. 1, 27–36 (2007).
K. R. Aidazade, Computational problems on hydraulic grids, Zh. Vych. Mat. Mat. Fiz., 29, No. 2, 184–193 (1989).
K. R. Aidazade and A. V. Handzel, An approach to lumped control synthesis in distributed systems, Appl. Comput. Math., 6, No. 1, 1–11 (2007).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 123–131, January–February, 2012.
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Aidazade, K.R., Asadova, D.A. Analysis of the regimes of controlling transient processes in pipelines. J Eng Phys Thermophy 85, 131–140 (2012). https://doi.org/10.1007/s10891-012-0630-0
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DOI: https://doi.org/10.1007/s10891-012-0630-0