Analysis of control programs and climb paths of the hypersonic first stage of an aerospace system

Abstract


Control programs and flight paths of the hypersonic first stage of an aerospace system in climb with acceleration to hypersonic velocity are analyzed. Two approaches to determining the control programs and flight paths are identified: the "traditional" approach and the "optimization" one. The "traditional" approach implies specifying a typical mission profile with max-q and peak heat flux. In the case of the "optimization" approach the problem of propellant mass minimum is stated and solved using the method of Pontryagin’s maximum principle. It concerns the mass of propellant consumed in hypersonic acceleration for various terminal flight path angles. Optimal control programs and optimal flight paths are determined. Those meeting the max-q and peak heat flux requirements are selected. The results of modeling the motion of a hypersonic booster with typical and optimal angle-of-attack schedules corresponding to the "traditional" and "optimization" approaches are presented and discussed. It is established that less propellant is consumed in the case of optimal control, which is accounted for by more efficient use of the hypersonic booster's aerodynamic performance due to direct control of the angle of attack.


About the authors

V. L. Balakin

Samara National Research University

Author for correspondence.
Email: balakin@ssau.ru

Russian Federation

Doctor of Science (Engineering), Professor
University Administration Counselor

M. M. Krikunov

Samara National Research University

Email: krikunov_mm@mail.ru

Russian Federation

Candidate of Science (Engineering)
Senior Research Associate

References

  1. Buzuluk V.I. Optimizatsiya traektoriy dvizheniya aerokosmicheskikh letatel'nykh apparatov [Optimization of aerospace vehicle flight paths]. Moscow: Central Aerohydrodynamic Institute Publ., 2008. 476 p.
  2. Balakin V.L., Bebyakov A.A., Kotchyan A.G. Optimizing the propulsion of a hypersonic accelerator aircraft of a two-stage aerospace system. Vestnik of the Samara State Aerospace University. 2008. No. 1 (14). P. 23-32. (In Russ.)
  3. Bebyakov A.A. Optimal control of the angle of attack of a hypersonic flight vehicle. Vestnik of the Samara State Aerospace University. 2013. No. 1 (39). P. 26-38. doi: 10.18287/1998-6629-2013-0-1(39)-26-38 (In Russ.)
  4. 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.
  5. 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.)
  6. 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.
  7. 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.)

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