Disturbed motion of the hypersonic first stage of an aerospace system in climb

Abstract

Disturbed motion of the hypersonic first stage of an aerospace system in climb is analyzed. Deviations of atmospheric density from standard values and deviations of aerodynamic force coefficients from reference values are taken as disturbances. Disturbance motion of the hypersonic first stage of a hypersonic vehicle with the optimal angle-of-attack schedule obtained for reference atmosphere and nominal aerodynamic characteristics is modeled. Deviations of terminal conditions of disturbed motion from the target values of velocity, altitude and flight path inclination are determined. The problem of minimum propellant mass consumed in the climb with acceleration to hypersonic velocity is solved for disturbed motion by the method of Pontryagin’s maximum principle. Optimal angle-of-attack schedules, optimal flight paths and finite values of the mass of the hypersonic first stage are determined. Comparative analysis of optimal control programs and flight paths for disturbed and undisturbed motion is made.

About the authors

V. L. Balakin

Samara National Research University

Author for correspondence.
Email: balakin.vl@ssau.ru

Doctor of Science (Engineering), Professor
University Administration Counselor

Russian Federation

M. M. Krikunov

Samara National Research University

Email: krikunov.mm@ssau.ru

Candidate of Science (Engineering)
Senior Research Associate

Russian Federation

References

  1. Balakin V.L., Krikunov M.M. Analysis of control programs and climb paths of the hypersonic first stage of an aerospace system. Vestnik of Samara University. Aerospace and Mechanical Engineering. 2019. V. 18, no. 1. P. 18-29. doi: 10.18287/2541-7533-2019-18-1-18-29 (In Russ.)
  2. Buzuluk V.I. Optimizatsiya traektoriy dvizheniya aerokosmicheskikh letatel'nykh apparatov [Optimization of aerospace vehicle flight paths]. Moscow: Central Aerohydrodynamic Institute Publ., 2008. 476 p.
  3. Nechaev Yu.N. Silovye ustanovki giperzvukovykh i vozdushno-kosmicheskikh letatel'nykh apparatov [Power units of hypersonic and space-air vehicles]. Moscow: Rossiyskaya Akademiya Kosmonavtiki Publ., 1996. 214 p.
  4. Nechaev Yu.N., Polev A.S., Nikulin A.V. Modelirovanie usloviy raboty parovodorodnogo RTD v sostave silovoy ustanovki giperzvukovogo letatel'nogo apparata. Vestnik Akademii kosmonavtiki. Nauchno-tekhnicheskie problemy kosmonavtiki. Vypusk 2. Materialy nauchnykh dokladov na zasedaniyakh napravleniya v 1996-1997 gg. Moscow: Rossiyskaya Akademiya Kosmonavtiki Publ., 1998. P. 159-191. (In Russ.)
  5. Balakin V.L., Krikunov M.M. Analysis of control programs and flight paths of a hypersonic vehicle in climb. Vestnik of Samara University. Aerospace and Mechanical Engineering. 2018. V. 17, no. 4. P. 18-26. doi: 10.18287/2541-7533-2018-17-4-18-26 (In Russ.)
  6. Balakin V.L., Krikunov M.M. Disturbed motion of a hypersonic vehicle in climb. Vestnik of Samara University. Aerospace and Mechanical Engineering. 2019. V. 18, no. 2. P. 7-20. doi: 10.18287/2541-7533-2019-18-2-7-20 (In Russ.)
  7. Shkol'nyy E.P., Mayboroda A. Atmosfera i upravlenie dvizheniem letatel'nykh apparatov [Atmosphere and aircraft motion control]. Leningrad: Gidrometeoizdat Publ., 1973. 308 p.
  8. Pontryagin L.S., Boltyanskiy V.G., Gamkrelidze R.V., Mishchenko E.F. Matematicheskaya teoriya optimal'nykh protsessov [Mathematical theory of optimal processes]. Moscow: Nauka Publ., 1983. 393 p.

Statistics

Views

Abstract: 513

PDF (Russian): 271

Dimensions

PlumX

Refbacks

  • There are currently no refbacks.

Copyright (c) 2019 VESTNIK of Samara University. Aerospace and Mechanical Engineering

License URL: https://journals.ssau.ru/index.php/vestnik/about/editorialPolicies#custom-2

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies