Abstract
Based on the physical control theory, comparison was carried out of two approaches to optimizing the dynamic controlled plant with the aim of achieving the desired performance of the closed loop formulated in engineering terms. The first approach is represented by the well-known method of analytical design of optimal controllers. The second approach makes use of an assembly of reference models pertaining to the given domain and of the conditional performance functional. It was shown to be more universal and efficient. Numerical examples were presented.
Similar content being viewed by others
REFERENCES
Krasovskii, A.A., Problems of the Physical Control Theory, Avtom. Telemekh., 1990, no. 11, pp. 3-28.
Spravochnik po teorii avtomaticheskogo upravleniya (Handbook on the Theory of Automatic Control), Krasovskii, A.A., Ed., Moscow: Nauka, 1987.
Bukov, V.N., Adaptivnye prognoziruyushchie sistemy upravleniya poletom (Adaptive Forecasting Flight Control Systems), Moscow: Nauka, 1987.
Utkin, V.I., Skol'zyashchie rezhimy v zadachakh optimizatsii i upravleniya, Moscow: Nauka, 1981. Translated under the title Sliding Modes in Control Optimization, Heidelberg: Springer, 1992.
Voevodin, V.V. and Kuznetsov, Yu.A., Matritsy i vychisleniya (Matrices and Computations), Moscow: Nauka, 1988.
Artyushok, V.P. and Solov'ev, I.G., Direct Adaptive Control with Adjustable Reference, Avtom. Telemekh., 1992, no. 10, pp. 105-112.
Kozhinskaya, L.I. and Vornovitskii, A.E., Upravlenie kachestvom sistem (System Quality Control), Moscow: Mashinostroenie, 1979.
Graupe, D., Identification of Systems, New York: Krieger, 1976. Translated under the title Metody identifikatsii sistem, Moscow: Mir, 1979.
Bukov, V.N., Kruglov, S.P., and Reshetnyak, E.P., Adaptability of the Linear Dynamic System with Identificator and Reference Model, Avtom. Telemekh., 1994, no. 3, pp. 99-107.
Bronnikov, A.M. and Kruglov, S.P., Simplified Conditions for Adaptability of the Control System with Identifier and Reference Model, Avtom. Telemekh., 1998, no. 7, pp. 107-117.
Byushgens, G.S., (Ed.), Aerodinamika, ustoichivost' i upravlyaemost' sverkhzvukovykh samoletov (Aerodynamics, Stability, and Controllability of Supersonic Aircraft), Moscow: Nauka, 1998.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kruglov, S.P. Interrelationship between Two Approaches to Analytical Design of the Optimal Controllers. Automation and Remote Control 64, 564–575 (2003). https://doi.org/10.1023/A:1023238330409
Issue Date:
DOI: https://doi.org/10.1023/A:1023238330409