Abstract
A method of designing a control optimal in probability on the basis of iterative solution of the Fokker-Plank-Kolmogorov equation was proposed, and an example of approaching maneuvering objects was presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Roitenberg, Ya.N., Avtomaticheskoe upravlenie (Automatic Control), Moscow: Nauka, 1992.
Pupkov, K.A., Faldin, N.V., and Egupov, N.D., Metody sinteza optimal’nykh sistem avtomaticheskogo upravleniya (Methods of Design of the Optimal Automatic Control Systems), Moscow: MGTU, 2000.
Fleming, W.H. and Rishel, R.W., Deterministic and Stochastic Optimal Control, New York: Springer-Verlag, 1975. Translated under the title Determinirovannoe i stokhasticheskoe optimal’noe upravlenie, Moscow: Mir, 1978.
Pupkov, K.A., Egupov, N.D., and Trofimov, A.I., Statisticheskie metody analiza, sinteza i identifikatsii nelineinykh sistem avtomaticheskogo upravleniya (Statistical Methods of Analysis, Design, and Identification of the Nonlinear Automatic Control Systems), Moscow: MGTU, 1998.
Krasovskii, A.A. and Bukov, V.N., Iterative Solution of the Kolmogorov Equation in the Statistical Dynamics of Continuous Systems, Dokl. Akad. Nauk SSSR, 1974, vol. 216, no. 3, pp. 1147–1151.
Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1972.
Orlov, A.B. and Krylova, E.A., RF Patent 2006385, Bull. Izobret., 1994, no. 2.
Orlov, A.B., SOPREST: Intelligent Collision Prevention System, Elektronika, 2000, no. 6, pp. 48–52.
Orlov, A.B., Results of SOPREST System Testing, Elektronika, 2002, no. 4, pp. 62–63.
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.B. Orlov, 2008, published in Avtomatika i Telemekhanika, 2008, No. 11, pp. 94–102.