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Methods for Investigation of Relay System for Spacecraft Stabilization with Internal Feedback

Authors: Simonyants R.P., Averyanov P.V. Published: 17.08.2013
Published in issue: #2(91)/2013  
DOI:

 
Category: Informatics & Computing Technology  
Keywords: spacecraft, control system, stabilization, internal feedback, relay-type element, method of the joinings

The relay system of the angular spacecraft stabilization without using angular speed sensors is considered. The internal feedback embracing a relay regulator is applied for ensuring the economic self-oscillation mode. In the 1970s, the specialists of the "NPO Mashinostroeniya" enterprise and of the department created by academician V.N. Chelomei at the Bauman Moscow Higher Technical School carried out theoretical studies of relay systems, in which aperiodic links were used as internal feedback. At the same time a problem of investigation of these systems did not lose its urgency. The existing methodical approach causes problems especially in synthesis of internal feedback. The critical analysis of the applied methods has shown the combination of analytical studies and computer technologies is promising. A technique is proposed for choosing the system parameters that allow the economic modes of spacecraft stabilization to be ensured. The analytical study results are verified by numerical simulation. It is shown that this technique offering the visualization and convenience of using in the engineering practice provides a good accuracy.

References

[1] Popov M.V. Stabilization of satellites using aperiodic feedback. Sb. statey "Mekhanika kosmicheskogo poleta" [Coll. Pap. "Space flight mechanics"]. Moscow, Mashinostr. Publ., 1969. pp. 194–204 (in Russ.).

[2] Popov M.V. Stabilization of satellites using combined feedback. Sb. Statey "Mekhanika kosmicheskogo poleta" [Coll. Pap. "Space flight mechanics"]. Moscow, Mashinostr. Publ., 1969. pp. 204–211 (in Russ).

[3] Frolov A.N. Choosing the controller parameters in a relay stabilization system. Avtom. Telemekh. [Autom. Remote Control], 1970, no. 1, pp. 76–86 (in Russ.).

[4] Samoylov V.E., Il’in I.P. Study of a relay system with aperiodic feedback. Sb. Statey "Metody sinteza nelineynykh sistem avtomaticheskogo upravleniya" [Call. Pap. "Methods for the synthesis of nonlinear automatic control systems"]. Moscow, Mashinostr. Publ., 1970, pp. 355–388 (in Russ.).

[5] Frolov A.F. The study of a non-linear system of a certain type by the point transformation method. Avtom. Telemekh. [Autom. Remote Control], 1971, no. 2, pp. 15–23 (in Russ.).

[6] Frolov A.F. The dynamics of a relay system with aperiodic feedback covering the relay element. Avtom. Telemekh. [Autom. Remote Control], 1972, no. 8, pp. 14–20 (in Russ.).

[7] Chilton R. The Apollo spaceship control system. Trudy 1 Simp. IFAK po avtomat. upravleniyu v mirnom ispol’zovanii kosmicheskogo prostranstva [Proc. 1st IFAC Symp. on Autom. Control in Peaceful Uses of Outer Space]. Мoscow, Nauka Publ., 1968, pp. 374–387 (in Russ.).

[8] Shuneyko I.I. Manned missions to near-Earth space and the Moon. Raketostroenie. 1966–1967. [Rocket Science. 1966–1967]. Moscow, 1969, pp. 244–250 (in Russ.).

[9] Kharris S. Synthesis of the attitude control system for non-rigid satellites by Lyapunov’s direct method. Trudy 6 Mezhdunar. Simp. IFAK po avtomat. upravleniyu v prostranstve [Proc. 6th Int. IFAC Symp. on Autom. Control in Space]. Moscow, Nauka Publ., 1976, vol. 2, pp. 306–311 (in Russ.).

[10] Korolev N.A. Periodic modes in relay systems with internal feedback. Avtom. Telemekh. [Autom. Remote Control], 1956, vol. 17, no. 11, pp. 968–978 (in Russ.).

[11] Korolev N.A. Approximate evaluation of self-oscillations parameters in relay feedback systems with delay. Avtom. Telemekh. [Autom. Remote Control], 1959, vol. 20, no. 11, pp. 1467–1471 (in Russ.).

[12] Neymark Yu.I. Metod tochechnykh otobrazheniy v teorii nelineynykh kolebaniy [The point transformation method in the theory of nonlinear oscillations]. Librokom Publ., 2010. 472 p.

[13] Gaushus E.V. Issledovaniya dinamicheskikh sistem metodom tochechnykh preobrazovaniy [Study of dynamic systems by the point transformation method]. Moscow, Nauka Publ., 1976. 368 p.

[14] Simon’yants R.P. Raschet i proektirovanie sistem stabilizatsii. Releynye sistemy s vnutrenney obratnoy svyaz’yu [Analysis and design of attitude control systems. Relay systems with internal feedback]. Moscow, Bauman Moscow State Tech. Univ. Publ., 1988. 41 p.

[15] Simon’yants R.P., Budyka S.M. A computer model for nonlinear dynamics of spacecraft attitude control. Trudy Vseros. Nauch. Tekhn. Konf. "Aerokosmicheskie tekhnologii" [Proc. All-Russia Sci. Tech. Conf. "Aerospace technology"]. Moscow, Bauman Moscow State Tech. Univ. Publ., 2003, pp. 197–203 (in Russ.).

[16] Simon’yants R.P., El’kin E.E. Primenenie EVM v issledovanii nelineynykh dinamicheskikh system [The application of computers in the study of nonlinear dynamic systems]. Moscow, Bauman Moscow State Tech. Univ. Publ., 1989. 40 p.