Abstract
In this paper we consider a problem of realization of geometric servo-constraints. To this end we construct a digital servosystem whose executive element is a direct current motor of independent excitation. We present the full system of equations for a digital servo-system and discuss the questions of stable realization of servo-constraints.
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References
H. Beghin, Étude Théorique des Compas Gyrostatiques Ansch’utz et Sperry (Paris ImprimerieNationale, Paris, 1921; Nauka, Moscow, 1967).
P. Appel, Sur une Forme Générale des Équations de la Dynamique, Mémorial des Sciences Mathématiques, No. 1 (Gauthier-Villars, Paris, 1925).
A. Przeborski, “Die Allgemeinsten Gleichungen der Klassischen Dynamik,” Math. Z. 36(2), 184–194 (1933).
V. S. Novosyolov, “Application of Nonlinear Nonholonomic Coordinates in Analytical Mechanics,” Uchen. Zap. Leningradsk. Gos. Univ., Ser. Matem. 31(217), 50–83 (1957).
M. F. Shul’gin, “On Some Differential Equations of Analytical Dynamics and Their Integration,” Trudy Sredneazitsk. Gos. Univ. (Tashkent, 1958), Vol. 144, No. 18.
V. V. Rumyantsev, “On the Motion of Certain Systems with Nonideal Constraints,” Vestnik Mosk. Univ. Ser. Matem. Mekhan., No. 5, 61–66 (1961).
V. V. Rumyantsev, “On the Motion of Controllable Mechanical Systems,” Prikl. Mat. Mekh. 40(5) 771–781 (1976).
V. I. Kirgetov, “Motions of Controlled Mechanical Systems with Conditional Constraints (Servoconstraints),” Prikl. Mat. Mekh. 31(3) 433–446 (1967).
A. G. Azizov, “On Equations of the Dynamics of Systems with Servoconstraints,” Nauchn. Trudy TashGU 476 67–75 (1975).
A. G. Azizov, Applied Problems of the Dynamics of Servosystems, (Tashkent, 1980) [in Russian].
Sh. S. Nugmanova, “On Equations of Motion of Regulated Systems,” Trudy Kazansk. Aviatsionn. Inst. 27, 26–35 (1953).
N. G. Chetaev, “On the Gauss Principle,” in Stabilty of Motion. Works on Analytical Mechanics (AN SSSR, Moscow, 1962), pp. 311–316.
N. G. Chetaev, “On Forced Motions,” in Stabilty of Motion. Works on Analytical Mechanics (Izd-vo AN SSSR, Moscow, 1962), pp. 329–334.
N. A. Lakota, Foundations of Design of Servosystems (Mashinostroenie, Moscow, 1978) [in Russian].
Yu.M. Safonov, Electric Motors of Industrial Robots (Energoizdat, Moscow, 1990) [in Russian].
V. L. Veits, P. F. Verbovoi, O. L. Volberg, and A. M. S’yanov, Synthesis of Electromechanical Drives with Digital Control (Naukova Dumka, Kiev, 1991) [in Russian].
M. Kh. Teshaev, “On a Technique for Realizing Geometric Servoconstraints by Means of Electromechanical Forces,” Uzbeksk. Zhurn. “Problemy Mekhaniki”, No. 1, 27–31 (1998).
S. F. Burdakov and A. A. Pervozvanskii, Dynamic Analysis of Electromechanical Servodrives of Industrial Robots (Leningradsk. Gos. Univ., Leningrad, 1982) [in Russian].
V. A. Besekerskii and E. P. Popov, The Theory of Servosystems (Nauka, Moscow, 1975) [in Russian].
N. N. Krasovskii, Some Problems of the Motion Stability Theory (Fizmatgiz, Moscow, 1959) [in Russian].
G. D. Merkin, Introduction to the Stability Theory (Nauka, Moscow, 1987) [in Russian].
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Original Russian Text © M.Kh. Teshaev, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 12, pp. 44–51.
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Teshaev, M.K. Realization of servo-constraints by electromechanical servosystems. Russ Math. 54, 38–44 (2010). https://doi.org/10.3103/S1066369X10120042
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DOI: https://doi.org/10.3103/S1066369X10120042