The Concept of Generalization of Structural Properties of Measuring Tasks when Providing Navigation and Ballistic Support for Spacecraft

The concept of expansion (generalization) of structural properties of measuring tasks based on the object-system analysis of the ‘task-solution tool’ concept, placed in the appropriate environment (infrastructure) is proposed. An automated system for managing a complex dynamic object, for example, a spacecraft with corresponding subsystems of mathematical, software, technical, information, organizational, metrological, linguistic, legal support is chosen as a toolkit for solving the problem. This complex toolkit, on the one hand, allows solving modern measuring tasks, but on the other hand, further deforms the solutions obtained. The developed concept of generalization of structural properties is briefly described using the concept of generalized observability as an example. The apparatus of mathematical informatics (the theory of ultra-systems and ultra-operators) is proposed for its investigation.

References

[1] Lysenko L.N., Betanov V.V., Zviagin F.V. Teoreticheskie osnovy ballistiko-navigatsionnogo obespecheniia kosmicheskikh poletov [Theoretical bases of ballistic and navigation support of space flights]. Moscow, Bauman Press, 2014. 518 p.

[2] Bulychev Iu.G., Vasil’ev V.V., Dzhugan R.V., Kukushkin S.S., Manin A.P., Matsykin S.V., Nasenkov I.G., Potiupkin A.Iu., Chelakhov D.M. Informatsionno-izmeritel’noe obespechenie naturnykh ispytanii slozhnykh tekhnicheskikh kompleksov [Information and measuring support of full-scale tests of complex technical systems]. Moscow, Mashinostroenie-Polet publ., 2016. 440 p.

[3] Razorenov G.N. Vvedenie v teoriiu otsenivaniia sostoianiia dinamicheskikh sistem po rezul’tatam izmerenii [Introduction to the theory of dynamic systems state estimation by measurement results]. Moscow, MO SSSR publ., 1981. 272 p.

[4] Bairamov K.R., Betanov V.V., Stupak G.G., Urlichich Iu.M. Upravlenie kosmicheskimi ob"ektami. Metody, modeli i algoritmy resheniia nekorrektnykh zadach navigatsionno-ballisticheskogo obespecheniia [Management of space objects. Methods, models and algorithms for solving ill-posed problems of navigation and ballistic support]. Moscow, Radiotekhnika publ., 2012. 360 p.

[5] Vasil’ev D.G., Betanov V.V. Primenenie metodov imitatsionnogo modelirovaniia v zadachakh izucheniia dvizheniia okolozemnykh kosmicheskikh apparatov [Use of simulation modeling methods in problems of studying the near-Earth spacecraft motion]. Inzhenernyi zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation]. 2016, no. 7, 21 p. Available at: http://engjournal.ru/articles/1513/1513.pdf (accessed 15 January 2018).

[6] Vasil’ev D.G., Nedogarok A.A., Betanov V.V. Obobshchenie strukturnogo poniatiia nabliudaemosti v zadachakh opredeleniia parametrov dvizheniia kosmicheskikh apparatov [Generalization of the structural notion of observability in the problems of determining the parameters of spacecraft motion]. Aktual’nye problemy Rossiiskoi kosmonavtiki RAN. Trudy 39 akademicheskikh chtenii po kosmonavtike [Actual problems of Russian cosmonautics. Proceedings 39 academic readings on cosmonautics]. 27–30 January 2015, Moscow, Bauman Press, 2017, pp. 31–33.

[7] [7] Letnye ispytaniia kosmicheskikh ob"ektov. Opredelenie i analiz dvizheniia po eksperimental’nym dannym [Flight tests of space objects. Motion detection and analysis using experimental data]. Ed. Tiulin A.E. Moscow, Radiotekhnika publ., 2016. 332 p.

[8] Lysenko L.N., Betanov V.V. Analiz putei integratsii malykh psevdostatsionarnykh geosinkhronnykh sputnikov v topologiiu kosmicheskogo segmenta global’nykh informatsionnykh system [Analysis of ways to integrate the pseudo small geosynchronous satellites in the topology of the space segment of the global information systems]. Polet. Obshcherossiiskii nauchno-tekhnicheskii zhurnal [All-Russian Scientific-Technical Journal. Flight]. 2016, no. 8–9, pp. 3–20.

[9] Stepanov O.A. Osnovy teorii otsenivaniia s prilozheniiami k zadacham obrabotki navigatsionnoi informatsii. Ch. 1. Vvedenie v teoriiu otsenivaniia [Fundamentals of the theory of estimation with applications to problems of navigation information processing. Pt. 1. Introduction to the theory of estimation]. Sankt-Petersburg, Kontsern TsNII Elektropribor publ., 2010. 509 p.

[10] Betanov V.V., Nazarenko S.G. Razrabotka sistemy upravleniia znaniiami navigatsionno-ballisticheskogo obespecheniia sozdaniia i ekspluatatsii kosmicheskikh sredstv [Development of a knowledge management system for navigation and ballistic support of the creation and operation of space assets]. 41 Akademicheskie chteniia po kosmonavtike (Korolevskie chteniia RAN), tez. dokl. [Abstracts of the 41 Academic readings on cosmonautics (Korolyov’s readings RAS)]. 24–27 January 2017, Moscow, Bauman Press, 2017, pp. 279–280.

[11] Tiulin A.E., Betanov V.V. K voprosu povysheniia ustoichivosti resheniia obobshchennykh nekorrektnykh zadach navigatsionno-ballisticheskogo obespecheniia na razlichnykh etapakh poleta KA [On the issue of increasing the stability of the solution of generalized ill-posed problems of navigation and ballistic support at various stages of the spacecraft flight]. Trudy 7-oi Vserossiiskoi konferentsii IPA RAN «Fundamental’noe i prikladnoe koordinatno-vremennoe i navigatsionnoe obespechenie» (KVNO-2017) [Proceedings of the 7th all-Russian conference Fundamental and applied coordinate-time and navigation support]. 17–21 April 2017, Sankt-Petersburg, 2017, pp. 196–198.

[12] Betanov V.V., Larin V.K. Ispol’zovanie sistemnogo podkhoda k resheniiu problemnykh voprosov funktsionirovaniia avtomatizirovannogo kompleksa programm ballistiko-navigatsionnogo obespecheniia poletov KA GNSS [Using a systematic approach to solving the problematic issues of functioning of the automated complex of programs for ballistic and navigational support of GNSS spacecraft missions]. Raketno-kosmicheskoe priborostroenie i informatsionnye sistemy [Rocket-Space Device Engineering and Information Systems]. 2016, vol. 3, is. 1, pp. 3–10.

[13] Betanov V.V., Larin V.K. Kontseptsiia postroeniia bazovoi tekhnologicheskoi modeli razrabotki ballisticheskoi struktury avtomaticheskikh KA [Concept of Development of Basic Engineering Model for Ballistic Structure of Unmanned Spacecraft]. Raketno-kosmicheskoe priborostroenie i informatsionnye sistemy [Rocket-Space Device Engineering and Information Systems]. 2016, vol. 3, is. 4, pp. 64–72.

[14] Neirokomp’iutery i ikh primenenie. Kn. 13. Neiroupravliaemye konstruktsii i sistemy [Neurocomputers and their applications. B. 13. Neuro-controlled structures and systems]. Ed. Abovskii N.P., Moscow, Radiotekhnika publ., 2003. 367 p.

[15] Neirokomp’iutery i ikh primenenie. Kn. 17. Neirokomp’iutery v kosmicheskoi tekhnike [Neurocomputers and their applications. B. 17. Neurocomputers in space technology]. Ed. Galushkin A.I., Moscow, Radiotekhnika publ., 2004. 316 p.

[16] Chechkin A.V. Matematicheskaia informatika [Mathematical informatics]. Moscow, Nauka publ., 1991. 416 p.