Abstract
The paper analyses the state of applied optimal control theory in automated control synthesis problems and the issues of its practical implementation. The cases of nonlinear and linear plants in a closed and open loop are considered. There are several problems that manifest themselves in the implementation of theoretical solutions or in computer modeling. Such problems include: the choice of the control prediction horizon, the appearance of a static control error, ensuring an adequate stability margin, determining the set values of state variables, and choosing a multidimensional insensitivity zone of the state controller. For each of the problems raised, ways to resolve them are proposed.
Similar content being viewed by others
REFERENCES
Kalman, R.E., Contributions to the Theory of Optimal Control. Vol. 5 , Bol. Soc. Mat. Mex., 1960.
Hsu, J.C. and Meyer, A.U., Modern Control Principles and Applications, New York: McGraw-Hill, 1968. Translated under the title: Sovremennaya teoriya avtomaticheskogo upravleniya i ee primenenie, Moscow: Mashinostroenie, 1972, pp. 339–496.
Tits, A.L., Notes for ENEE 664: Optimal Control, 2020. https://user.eng.umd.edu/~andre/664.pdf.
Arakelyan, E.K. and Pikina, G.A., Optimizatsiya i optimal’noe upravlenie: Uchebnoe posobie dlya vuzov (Optimization and Optimal Control: Textbook for Universities), Moscow: MEI, 2008.
Anderson, B.D.O. and Moore, J.B., Optimal Control: Linear Quadratic Methods, Prentice Hall, 1990.
Speedy, C.B., Brown, R.F., and Goodwin, G.C., Control Theory: Identification and Optimal Control, Edinburgh: Oliver and Boyd, 1970.
Bertsekas, D.P., Constrained Optimization and Lagrange Multiplier Methods, New York: Academic Press, 1982.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by V. Potapchouck
Rights and permissions
About this article
Cite this article
Pikina, G.A., Pashchenko, F.F. & Pashchenko, A.F. Some Problems of Implementing Optimal Control Theory in Automated Control Systems. Autom Remote Control 83, 1630–1638 (2022). https://doi.org/10.1134/S00051179220100150
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S00051179220100150