Abstract
Computer-aided derivation of the motion equations of a package of mechanical systems was considered. Its mathematical support was based on the F.M. Kulakov method. The freeflying space robotic module for servicing the satellite stations was discussed as an example of the package of mechanical systems. The right side of the resulting mathematical model generated by the symbolic computer system such as Maple was represented as easy-to-use relations for decomposition of the object motion equations. These relations underlie decomposition of the mathematical model of motion of the space robotic module.
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REFERENCES
Popov, E.P., Vereshchagin, A.F., and Zenkevich, S.L., Manipulyatsionnye roboty: dinamika i algoritmy (Manipulation Robots: Dynamics and Algorithms), Moscow: Nauka, 1978.
Furuta, K., Super Mechano-Systems: Fusion of Control and Mechanism, in Plenary Paper. Triennial IFAC World Congr., Barcelona, Spain, 2002, pp. 35–44.
Bogomolov, V.P., Rutkovskii, V.Yu., and Sukhanov, V.M., Design of the Optimal Mechanical Structure of the Free Flying Space Robotic Module as an Object of Automatic Control. I, II, Avtom. Telemekh., 1998, no. 5, pp. 27–40; no. 6, pp. 75-88.
Glumov, V.M., Krutova, I.N., and Sukhanov, V.M., A Method of Constructing the Mathematical Model of a Discretely Developing Large Space Structure, Avtom. Telemekh., 2003, no. 10, pp. 15–33.
Siljak, D.D., Decentralized Control of Complex Systems, Boston: Academic, 1991. Translated under the title Detsentralizovannoe upravlenie slozhnymi sistemami, Moscow: Mir, 1994.
Voronov, A.A., Vvedenie v dinamiku slozhnykh upravlyaemykh sistem (Introduction to Dynamics of Complex Controllable Systems), Moscow: Nauka, 1985.
Rutkovskii, V.Yu., Zemlyakov, S.D., Sukhanov, V.M., and Glumov, V.M., Some New Directions in Development of the Theory and Application of the Adaptive Coordinate-parametric Control, Probl. Upravlen., 2003, no. 2, pp. 2–10.
Pyatnitskii, E.S., Principle of Decomposition in Control of Mechanical Systems, Dokl. Ross. Akad. Nauk, 1988, vol. 300, no.2, pp. 300–303.
Chernous’ko, F.L., Decomposition and Suboptimal Control in Dynamic Systems, Prikl. Mat. Mekh., 1990, vol. 54, no.6, pp. 883–893.
Krut’ko, P.D. and Chernous’ko, F.L., Decomposing Algorithms to Control Motion of Nonlinear Dynamic Systems, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2001, no. 4, pp. 8–24.
Krut’ko, P.D., Upravlenie ispolnitel’nymi sistemami robotov (Control of Robot Actuators), Moscow: Nauka, 1991.
Shahinpoor, M., A Robot Engineering Textbook, New York: Harper & Row, 1987. Translated under the title Kurs robototekhniki, Moscow: Mir, 1990.
Kulakov, F.M., Supervizornoe upravlenie manipulyatsionnymi robotami (Supervisor Control of Manipulation Robots), Moscow: Nauka, 1980.
Lampariello, R. and Hirzinger, G., Freeflying Robots—Inertial Parameters Identification and Control Strategies, Proc. 6-th ESA Workshop on Advanced Space Technologies for Robotics and Automation (ASTRA 2000), Noordwijk, The Netherlands, 2000.
Raushenbakh, B.V. and Tokar’, E.N., Upravlenie orientatsiei kosmicheskikh apparatov (Spacecraft Orientation Control), Moscow: Nauka, 1974.
Metod vektornykh funktsii Lyapunova v teorii ustoichivosti (Method of Lyapunov Vector Functions in the Stability Theory), Voronov, A.A. and Matrosov, V.M., Eds., Moscow: Nauka, 1987.
Zemlyakov, S.D. and Rutkovsky, V.Yu., Computer Aided Modeling and Analytical Synthesis of Control Algorithms for a Spacecraft with Discretely Changing Structure, Proc. 16-th IFAC Sympos. Automat. Control in Aerospace, St. Petersburg, Russia, 2004, vol. 1, pp. 418–423.
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Translated from Avtomatika i Telemekhanika, No. 5, 2005, pp. 83–96.
Original Russian Text Copyright © 2005 by Glumov, Zemlyakov, Rutkovskii, Sukhanov.
This work was supported by the Russian Foundation for Basic Research, project no. 03-01-00062, and the Program for Fundamental Research no. 16 of the Department of Power Engineering, Machine Building, Mechanics, and Control Processes of the Russian Academy of Sciences.
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Glumov, V.M., Zemlyakov, S.D., Rutkovskii, V.Y. et al. Some Features of the Computer-aided Derivation of the Motion Equations of a Package of Mechanical Systems and Their Decomposition. Autom Remote Control 66, 752–764 (2005). https://doi.org/10.1007/s10513-005-0119-9
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DOI: https://doi.org/10.1007/s10513-005-0119-9