On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model / Vorotnikov V.I., Martyshenko Yu.G. // Automation and Remote Control. - 2012. - V. 73, l. 9. - P. 1469-1480.

ISSN:
00051179
Type:
Article
Abstract:
We solve a nonlinear game problem of uniaxial reorientation for an asymmetric solid body with three flywheels (rotors). We give an estimate for admissible levels of uncontrollable noise depending on given constraints on controlling moments. © Pleiades Publishing, Ltd., 2012.
Author keywords:
Index keywords:
Game problem; Gyrostats; Noise models; Solid bodies; Automation; Control
DOI:
10.1134/S0005117912090032
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84868513580&doi=10.1134%2fS0005117912090032&partnerID=40&md5=522bae43c2f9fde708a351919924206a
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84868513580&doi=10.1134%2fS0005117912090032&partnerID=40&md5=522bae43c2f9fde708a351919924206a
Affiliations Ural State Technical University, Nizhni Tagil Technological Institute, Nizhni Tagil, Russian Federation
References Pyatnitskii, E.S., Decomposition principle in controlling mechanical systems (1988) Dokl. Akad. Nauk SSSR, 300 (2), pp. 300-303; Chernous'ko, F.L., Decomposition and suboptimal control in dynamical systems (1990) Prikl. Mat. Mekh., 54 (6), pp. 883-893; Chernous'ko, F.L., Decomposition and control synthesis in dynamical systems (1990) Izv. Akad. Nauk SSSR, Tekh. Kibern., (6), pp. 64-82; Siljak, D.D., (1991) Decentralized Control of Complex Systems, , Cambridge: Academic; Miroshnik, I.V., Nikiforov, V.O., Fradkov, A.L., (2000) Nelineinoe Adaptivnoe Upravlenie Slozhnymi Di-namicheskimi Sistemami (Nonlinear Adaptive Control for Complex Dynamical Systems), , St. Petersburg: Nauka; Chernous'ko, F.L., Anan'evskii, I.M., Reshmin, S.A., (2006) Metody Upravleniya Nelineinymi Mekhaniches-kimi Sistemami (Control Methods for Nonlinear Mechanical Systems), , Moscow: Fizmatlit; Matyukhin, V.I., (2009) Upravlenie Mekhanicheskimi Sistemami (Control in Mechanical Systems), , Moscow: Fizmatlit; Reshmin, S.A., Decomposition method in the control problem of lagrange system with a deficit of controlling parameters (2010) Prikl. Mat. Mekh., 74 (1), pp. 151-169; Aleksandrov, A.Yu., Kosov, A.A., On Stability and stabilization of nonlinear nonstationary mechanical systems (2010) Prikl. Mat. Mekh., 74 (5), pp. 774-788; Vorotnikov, V.I., On nonlinear synthesis of bounded controls with noise (1994) Dokl. Ross. Akad. Nauk, 337 (1), pp. 44-47; Vorotnikov, V.I., On constructing game bounded controls for nonlinear dynamical systems (1997) Prikl. Mat. Mekh., 61 (1), pp. 63-74; Vorotnikov, V.I., (1998) Partial Stability and Control, , Boston: Birkhauser; Vorotnikov, V.I., Rumyantsev, V.V., (2001) Ustoichivost' i Upravlenie Po Chasti Koordinat Fazovogo Vektora Dinamicheskikh Sistem: Teoriya, Metody I Prilozheniya (Stability and Control for a Part of Phase Vector Coordinates in Dynamical Systems), , Moscow: Nauchnyi Mir; Zubov, V.I., (1975) Lektsii Po Teorii Upravleniya (Lectures in Control Theory), , Moscow: Nauka; Filippov, A.F., (1985) Differentsial'nye Uravneniya S Razryvnoi Pravoi Chast'yu (Differential Equations with a Discontinuous Right-hand Side), , Moscow: Nauka; Krasovskii, N.N., (1970) Igrovye Zadachi o Vstreche Dvizhenii (Game Problems on Meeting Motions), , Moscow: Nauka; Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F., (1983) Matematicheskaya Teoriya Optimal'nykh Protsessov (Mathematical Theory of Optimal Processes), , Moscow: Nauka; Vorotnikov, V.I., Martyshenko, Yu.G., On partial detectability of nonlinear dynamic systems (2009) Autom. Remote Control, 70 (1), pp. 20-32; Gulyaev, V.P., Koshkin, V.L., Savilova, I.V., Time-optimal control for a three-axial orientation of a solid body with constrained control parameters (1986) Izv. Akad. Nauk SSSR, Mekh. Tverdogo Tela, (5), pp. 11-15; Vorotnikov, V.I., (1991) Ustoichivost' Dinamicheskikh Sistem Po Otnosheniyu K Chasti Peremennykh (Partial Stability of Dynamic Systems), , Moscow: Nauka; Vorotnikov, V.I., Optimal stabilization of nonlinear systems (1991) Autom. Remote Control, 52 (3), pp. 314-324; Vorotnikov, V.I., Martyshenko, Yu.G., On the nonlinear game problem of uniaxial asymmetric solid body (2010) Sist. Upravlen. Inf. Tekhnol., (2-40), pp. 4-8; Vorotnikov, V.I., Partial stability and control: The state-of-the-art and development prospects (2005) Au-tom. Remote Control, 66 (4), pp. 511-561; Vorotnikov, V.I., On controlling the rotation of a solid body. Game-theoretic approach (1994) Prikl. Mat. Mekh., 58 (3), pp. 82-103; Ermoshina, O.V., Krishchenko, A.P., Synthesis of program controls for space vehicle orientation with the inverse dynamics problem method (2000) Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., (2), pp. 155-162; Bai, X., Junkins, J.L., New results for time-optimal three-axis reorientation of a rigid spacecraft (2009) J. Guidance, Control, Dynam., 22 (4), pp. 1071-1076; Alekseev, K.B., Malyavin, A.A., Shchadyan, A.V., Extensive control for the orientation of a space vehicles based on fuzzy logic (2009) Polet, (1), pp. 47-53; Bedrossian, N.S., Bhatt, S., Kang, W., Zero propellant maneuver guidance (2009) IEEE Control Syst. Mag., 29 (1), pp. 53-73; Emel'yanov, S.V., Korovin, S.K., (1997) Novye Tipy Obratnoi Svyazi. Upravlenie Pri Neopredelennosti (New Types of Feedback: Control Under Uncertainty), , Moscow: Fizmatlit
Correspondence Address Vorotnikov, V.I.; Ural State Technical University, Nizhni Tagil Technological Institute, Nizhni Tagil, Russian Federation
Language of Original Document English
Abbreviated Source Title Autom. Remote Control
Source Scopus