VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University637610.18287/2541-7533-2018-17-4-18-26UnknownAnalysis of control programs and flight paths of a hypersonic vehicle in climbBalakinV. L.<p><span lang="EN-US">Doctor of Science (Engineering), Professor<br />University Administration Counselor</span></p>balakin.vl@ssau.ruKrikunovM. M.<p><span lang="EN-US">Candidate of Science (Engineering)<br />Senior Research Associate</span></p>krikunov.mm@ssau.ruSamara National Research University2012201817418261912201819122018Copyright © 2018, VESTNIK of Samara University. Aerospace and Mechanical Engineering2018<p>Control programs and flight paths of a hypersonic vehicle in climb are analyzed. Two approaches to solving the task of 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 of a hypersonic vehicle. In order to maximize the specific impulse (optimize the performance of the propulsion system) the vehicle moves along the line of peak dynamic pressing. In the case of the optimization approach the minimum fuel problem is stated and solved using the method of Pontryagins maximum principle. It concerns the mass of fuel consumed in hypersonic acceleration. Optimal control programs and optimal flight paths are determined. The results of modeling the motion of a hypersonic vehicle with angle-of-attack schedules corresponding to the traditional and optimization approaches are presented and discussed. It is established that less fuel is consumed in the case of optimal control, which is accounted for by more efficient use of the hypersonic vehicle aerodynamic performance due to direct control of the angle of attack.</p>Гиперзвуковой самолётнабор высотыразгонпрограмма угла атакитиповой профиль полётаоптимальное управлениеминимум массы топливаметод принципа максимумаHypersonic vehicleclimbaccelerationangle-of-attack scheduletypical mission profileoptimal controlfuel mass minimummaximum principle method[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. Optimizing the motion of hypersonic cruise aircraft at the climbing leg. Polyot. All-Russian Scientific-Technical Journal. 2007. No. 3. P. 15-19. (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. (In Russ.) DOI: <a href='http://doi.org/10.18287/1998-6629-2013-0-1(39)-26-38'>10.18287/1998-6629-2013-0-1(39)-26-38</a>][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.]