629.762 Aircraft motion parameters recovery from the data of their discrete registration. Part 2. Methods using regularization
Plyusnin A. V. (Bauman Moscow State Technical University)
AIRCRAFT GAS-DYNAMIC EJECTION, AIRCRAFT, MOTION PARAMETERS RECOVERY, PIECEWISE POLYNOMIAL INTERPOLATION
doi: 10.18698/2309-3684-2016-2-3954
The article examines methods of aircraft motion parameters recovery from the data of their low resolution recordings in the gas-dynamic ejection experimental test.
[1] Plyusnin A.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 2, pp.77–100.
[2] Plyusnin A.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 3, pp. 55–73.
[3] Dimitrienko Yu.I., Zakharov A.A., Koryakov M.N., Syzdykov E.K., Minin V.V. Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2013, no. 9. Available at: http://engjournal.ru/catalog/mathmodel/aero/1114.html
[4] Dimitrienko Yu.I., Dimitrienko I.D., Koryakov M.N. Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2013, no. 9. Available at: http://engjournal.ru/catalog/mathmodel/technic/1120.html
[5] Dimitrienko Yu.I., Zakharov A.A., Koryakov M.N., Syzdykov E.K. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie — Proceedings of Higher Educational Institutions. Machine Building, 2014, no. 3. pp. 23–34.
[6] Efremov G.A., Strakhov A.N., Minasbekov D.A., Gorlashkin A.A., Plyusnin A.V., Sokolov P.M., Bondarenko L.A., Govorov V.V. Otrabotka gazodinamiki podvodnogo starta na nazemnom gazodinamicheskom stende predpriyatiya [Underwater launch gas dynamic tests on the gas dynamics ground test bench of the enterprise]. Raketnye kompleksy i raketnokosmicheskiye
sistemy — proyektirovaniye, eksperimentalnaya otrabotka, letnye ispytaniya, ekspluatatsiya. Trudy sektsii 22 XXXVIII Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proc. of the 22nd section of XXXVIII Academic Space Technology Readings.]. Reutov, 2014, pp. 65–74.
[7] Plyusnin A.V., Bondarenko L.A., Sabirov Yu.R. Analiz gazogidrodinamicheskikh protsessov i metodov ikh rascheta na osnove opyta predpriyatiya v otrabotkye podvodnogo minom’etnogo starta [Analysis of gas and hydro dynamic processes and their calculation methods on the basis of the enterprise experience in underwater mortar launch tests]. Raketnye kompleksy i raketnokosmicheskiye sistemy — proyektirovaniye, eksperimentalnaya otrabotka, letnye
ispytaniya, ekspluatatsiya. Trudy sektsii 22 XXXVIII Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proc. of the 22nd section of XXXVIII Academic Space Technology Readings]. Reutov, 2015, pp. 74–83.
[8] Plyusnin A.V. Reconstruktsiya rezul’tatov gazodinamicheskikh ispytaniy pri nepolnom obyome izmereniy [Gas-dynamic tests results recovery in case of incomplete measurements]. Raketnye kompleksy i raketno-kosmicheskiye sistemy — proyektirovaniye, eksperimentalnaya otrabotka, letnye ispytaniya, ekspluatatsiya. Trudy sektsii 22 XXXVIII Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proc. of the 22nd section of XXXVIII Academic Space Technology Readings: ]. Reutov, 2015, pp. 84–93.
[9] Plyusnin A.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 1, pp. 68–88.
[10] Mikhlin S.G. Variatsionnyye metody v matematicheskoy fizike [Variational methods in mathematical physics]. Moscow, Nauka Publ., 1970, 512 p.
[11] Demmel J.W. Applied Numerical Linear Algebra. Philadelphia, SIAM, 1997, 430 p.
[12] Tikhonov A.N., Arsenin V.Ya. Metody resheniya nekorrektnykh zadach [Methods for solving incorrect problems]. Moscow, Nauka Publ., 1979, 288 p.
[13] Kantorovich L.V., Akilov G.P. Funktsional'nyy analiz [Function analysis]. Moscow, Nauka Publ., 1977, 744 p.
[14] Tikhonov A.N., Goncharsky A.V., Stepanov V.V., Yagola A.G. Chislennyye metody resheniya nekorrektnykh zadach [Numerical methods for solving incorrect problems]. Moscow, Nauka Publ., 1990, 232 p.
[15] Leonov A.S. Resheniye nekorrektno postavlennykh zadach: Ocherk teorii, prakticheskiye algoritmy i demonstratsii v MATLAB [The solution of incorrectly posed problems: Essay on the theory, practical algorithms and demonstrations in MATLAB]. Moscow, Librokom Publ., 2010, 336 p.
[16] Alasheev V.I., Davtyan A.A., Plyusnin A.V., Sabirov Yu.R. Analiz usloviy obespecheniya dopustimykh nagruzok i bezudarnogo vykhoda izdeliya iz puskovoy ustanovki [Analysis of conditions to ensure permissible loads and shock-free release of the product launcher]. Aerokosmicheskiye tekhnologii: Nauchnyye materialy Tret'yey mezhdunarodnoy nauchno-tekhnicheskoy konferentsii, posvyashchennoy 100-letiyu so dnya rozhdeniya akademika V.N. Chelomeya [Aerospace Technologies: Research materials of the Third International Scientific Conference dedicated to the 100th anniversary of the birth of Academician V.N. Chelomey]. Moscow, BMSTU Publ., 2014,
pp. 163–164.
Plyusnin A. Aircraft motion parameters recovery from the data of their discrete registration. Part 2. Methods using regularization. Маthematical Modeling and Coтputational Methods, 2016, №2 (10), pp. 39-54