TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

HOME    ABOUT THIS JOURNAL    EDITORIAL BOARD    GUIDE FOR AUTHORS    CURRENT    JOURNAL ISSUES    CONTACTS

UDC 629.13

Technical mechanics, 2018, 1, 59 - 71

ON THE CHOICE OF PROGRAMS TO CONTROL ROCKET MOTION ALONG A BALLISTIC TRAJECTORY

DOI: https://doi.org/10.15407/itm2018.01.059

Senkin V. S.

Senkin V. S.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Ukraine

      This paper formulates the complex problem of co-optimization of the design parameters, trajectory parameters, and control programs of a single-stage rocket with a solid-propellant sustainer engine at the initial design stage. The problem is formulated as an optimal control problem with constraints in the form of equalities and differential constraints. The parameters to be optimized are the basic design parameters of the rocket and the trajectory parameters that determine rocket motion control programs. In the proposed approach, the control programs (time variation of the pitch) in different portions of the trajectory are formed as polynomials, which reduces the optimal control problem considered to a nonlinear programming problem with constraints in the form of equalities and differential constraints. The solution of the complex problem formulated in this paper allows one to determine motion control programs optimal in a given class of functions and advisable values of the rocket design parameters at the initial design stage.

controlled rocket, mathematical model, design parameters, trajectory parameters, control program, initial design stage, solid-propellant rocket engine

1. Degtyarev A.V. Rocketry: Problems and Prospects. Selected scientific and technical publications. Dnipropetrovsk: ART-PRESS, 2014. 420 pp. (in Russian).

2. Mishin V. P., Bezverby V. K., Pankratov B. M. et al. Basics of Flying Vehicle Design (Transport Systems): Manual for Technical Universities. Moscow: Mashinostroyeniye, 1985. 360 pp. (in Russian).

3. Shcheverov D. N. Pilotless Flying Vehicle Design. Noscow: Mashinostroyeniye, 1978. 264 pp. (in Russian).

4. Sinyukov A. M.,.Volkov L. I., Lvov A. I.,Shishkevich A. M. Solid-Propellant Ballistic Rocket. Moscow: Voenizdat, 1972. 511 pp. (in Russian).

5. Varfolomeev V. I. Ballistic Rocket Design and Test. Moscow: Voenizdat, 1970. 392 pp. (in Russian).

6. Vinogradov B. A., Grushchansky V. A., Dovgodush S. I. et al. Complex System Efficiency. Dynamic Models. Moscow: Nauka, 1989. 285 pp. (in Russian).

7. Ilichev A. V., VolkovV. D., Grushchansky V. A. Efficiency of Complex System Design Elements. Moscow: Vysshaya Shkola, 1982. 280 pp. (in Russian).

8. Krotov V. F., Gurman V. I. Optimal Control: Methods and Problems. Moscow: Nauka, 1973. 446 pp. (in Russian).

9. Pontryagin L. S., Boltyansky V. G., Gamkrelidze R. V, Mishchenko E. F. Mathematical Theory of Optimal Processes. Moscow: Nauka, 1969. 385 pp. (in Russian).

10. Tarasov E. V. Algorithm of Flying Vehicle Optimal Design. Moscow: Mashinostroyeniye, 1970. 364 pp. (in Russian).

11. Alpatov A. P., Senkin V. S. Complex problem of optimization of the basic design parameters and motion control programs of space rockets. Teh. Meh. 2011. No. 4. Pp. 98 113. (in Russian).

12. Alpatov A. P., Senkin V. S. Methodic support for selecting an aspect, optimization of design parameters and control in-flight programs for launch vehicle Teh. Meh. 2013. No. 4. Pp. 146-161. (in Russian).

13. Senkin V. S. Superlight launch vehicle design parameter optimization. Teh. Meh. 2009. No. 1. Pp. 80-88. (in Russian).

14. Senkin V. S. Controlled rocket flight control program optimization and sustainer engine propulsion optimization. Teh. Meh. 2000. No. 1. Pp. 46-50. (in Russian).

15. Siutkina-Doronina S. V. On the optimization of the design parameters and control programs of a solid-propellant rocket. Aviatsionno-Kosmicheskaya Tekhnika i Tekhnologiya. 2017. No. 2 (137). Pp. 44-59. (in Russian).

16. Lebedev A. A., Gerasyuta N. F. Rocket Ballistics. Moscow: Mashinostroyeniye, 1970. 244 pp. (in Russian).

17. Razumev V. F., Kovalev B. K. Basics of Solid-Propellant Ballistic Rocket Design. Moscow: Mashinostroyeniye, 1976. 356 pp. (in Russian).

18. Erokhin B. T. Theoretical Foundations of Solid-Propellant Rocket Engine Design. Moscow: Mashinostroyeniye, 1982. 206 pp. (in Russian).

19. Abugov D. I., Bobylev V. M. Solid-Propellant Rocket Engine Theory and Design. Moscow: Mashinostroyeniye, 1987. 272 pp. (in Russian).

20. Shishkov A. A. Solid-Propellant Rocket Engine Gas Dynamics. Moscow: Mashinostroyeniye, 1974. 156 pp. (in Russian).

21. Senkin V. S. Complex problem of superlight launch vehicle design parameter and control program optimization. Teh. Meh. 2012. No. 2. Pp.106-121. (in Russian).

DOI: https://doi.org/10.15407/itm2018.01.059

Copyright (©) 2018 Senkin V. S.

Copyright © 2014-2018 Technical mechanics