Abstract
Consideration was given to an approach to the optimal control which combines the maximum principle, dynamic programming, and the method of design variables. This combined method ensures design of the optimal control of multi-stage processes in the plants whose dynamic models are represented by differential equations with discontinuous right side and the minimized functionals are the consumptions of power or fuel. The method enables on-the-fly recalculation of the control actions under frequently varying source data of control. The software based on this method visualizes the course and outcome of analysis of the energy-efficient control.
Similar content being viewed by others
REFERENCES
Matematicheskaya teoriya optimal'nykh protsessov (Mathematical Theory of Optimal Processes), Pontryagin, L.C., Ed., Moscow: Nauka, 1969.
Bellman, R., Dynamic Programming, Princeton: Princeton Univ. Press, 1957. Translated under the title Dinamicheskoe programmirovanie, Moscow: Inostrannaya Literatura, 1960.
Letov, A.M., Analytic Design of Controllers. I-IV, Avtom. Telemekh., 1960, no. 4, pp. 436–441; 1961, no. 4, pp. 425–435.
Kalman, R.E., Contributions to the Theory of Optimal Control, Bull. Soc. Math. Mech., 1960, vol. 5, no. 1, pp. 102–119.
Krasovskii, A.A., Sistemy avtomaticheskogo upravleniya poletom i ikh analiticheskoe konstruirovanie (Automatic Flight Control Systems and Their Analytic Design), Moscow: Nauka, 1973.
Lyapin, L.N. and Muromtsev, Yu.L., Guaranteed Optimal Program of Control over the Set of Design States, Avtom. Telemekh., 1993, no. 3, pp. 85–93.
Muromtsev, Yu.L., Lyapin, L.N., and Satina, E.V., Method of Design Variables for Optimal Control of Linear Plants, Izv. Vuzov, Prib., 1993, no. 11–12, pp. 19–25.
Muromtsev, Yu.L., Orlova, L.P., and Muromtsev, D.Yu., Identification of Models Considering Variations in Operational States, in Radiosistemy, Obrabotka signalov i polei (Radiosystems. Proc.), 2000, issue 43, no. 3, pp. 45–48.
Muromtsev, Yu.L., Umberto, F., Palasios, S., and Orlova, L.P., Energy-Efficient Optimal Control of Electric Machines, Vestn. TGTU, 1996, vol. 2, no. 3, pp. 222–230.
Muromtsev, Yu.L., Orlova, L.P., and Frolov, D.A., Expert System for Energy-Efficient Control, Komp'yuternaya Khronika, 1997, no. 12, pp. 71–89.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Muromtsev, D.Y., Muromtsev, Y.L. & Orlova, L.P. Combined Design of Energy-Efficient Control of Multistage Processes. Automation and Remote Control 63, 502–510 (2002). https://doi.org/10.1023/A:1014766804299
Issue Date:
DOI: https://doi.org/10.1023/A:1014766804299