Synthesis of Dual Program Control for a Multidimensional Dynamical System
In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh–Ritz method, they synthesize a control law for the spatial position of a sensor unit in a...
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| Published in | Journal of mathematical sciences (New York, N.Y.) Vol. 260; no. 3; pp. 392 - 397 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.01.2022
Springer Springer Nature B.V |
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| Abstract | In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh–Ritz method, they synthesize a control law for the spatial position of a sensor unit in an inertial navigation system. |
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| AbstractList | In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh–Ritz method, they synthesize a control law for the spatial position of a sensor unit in an inertial navigation system. In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh--Ritz method, they synthesize a control law for the spatial position of a sensor unit in an inertial navigation system. Keywords and phrases: multidimensional dynamical system, dual program control, control law, quality index, system of stochastic differential equations. AMS Subject Classification: 49M27, 65K10 |
| Audience | Academic |
| Author | Shepet, I. P. Litvin, D. B. |
| Author_xml | – sequence: 1 givenname: I. P. surname: Shepet fullname: Shepet, I. P. email: ship.1963@mail.ru organization: Technological Institute of Service, Branch of the Don State Technical University – sequence: 2 givenname: D. B. surname: Litvin fullname: Litvin, D. B. organization: Stavropol State Agrarian University |
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| References | A. A. Feldbaum, Foundations of the Theory of Optimal Automatic Systems [in Russian], GIFML, Moscow (1963). V. V. Malyshev, M. N. Krasil’shchikov, and V. I. Karlov, Optimization of Observation and Control of Aircrafts [in Russian], Mashinostroenie, Moscow (1989). S. M. Ermakova (ed.), Mathematical Theory of Experiment Planning [in Russian], Nauka, Moscow (1983). N. N. Krasovsky (ed.), Handbook on Automatic Control Theory [in Russian], Nauka, Moscow (1987). I. P. Shepet, Method of inertial navigation and device for its implementation [in Russian], Patent 2572403 RF (2016). I. P. Shepet, V. V. Onufrienko, and S. V. Slesarenok, Methodological Support of Controlled Navigation Systems [in Russian], Voronezh (2012). I. A. Boguslavsky, Applied Problems of Filtering and Control [in Russian], Nauka, Moscow (1983). 5701_CR7 5701_CR3 5701_CR4 5701_CR5 5701_CR6 5701_CR1 5701_CR2 |
| References_xml | – reference: I. P. Shepet, Method of inertial navigation and device for its implementation [in Russian], Patent 2572403 RF (2016). – reference: S. M. Ermakova (ed.), Mathematical Theory of Experiment Planning [in Russian], Nauka, Moscow (1983). – reference: A. A. Feldbaum, Foundations of the Theory of Optimal Automatic Systems [in Russian], GIFML, Moscow (1963). – reference: I. A. Boguslavsky, Applied Problems of Filtering and Control [in Russian], Nauka, Moscow (1983). – reference: V. V. Malyshev, M. N. Krasil’shchikov, and V. I. Karlov, Optimization of Observation and Control of Aircrafts [in Russian], Mashinostroenie, Moscow (1989). – reference: I. P. Shepet, V. V. Onufrienko, and S. V. Slesarenok, Methodological Support of Controlled Navigation Systems [in Russian], Voronezh (2012). – reference: N. N. Krasovsky (ed.), Handbook on Automatic Control Theory [in Russian], Nauka, Moscow (1987). – ident: 5701_CR6 – ident: 5701_CR5 – ident: 5701_CR7 – ident: 5701_CR3 – ident: 5701_CR4 – ident: 5701_CR2 – ident: 5701_CR1 |
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| SubjectTerms | Control systems Control theory Differential equations Dynamical systems Electronics in navigation Inertial navigation Inertial navigation (Aeronautics) Mathematics Mathematics and Statistics Navigation systems Position sensing Ritz method Sensors Synthesis |
| Title | Synthesis of Dual Program Control for a Multidimensional Dynamical System |
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