Longitudinal Control System Design Using Gradient Method for a Suborbital Launcher

Author:

Chelaru Teodor Viorel1,Pana Valentin1,Chelaru Adrian2

Affiliation:

1. University POLITEHNICA of Bucharest

2. National Institute for Aerospace Research “elie Carafoli”

Abstract

The aim of this paper is to present a design method for the guidance navigation and control system (GNC) of a suborbital launcher. In order to achieve a symmetric evolution in the vertical plane we start with the decoupled form of the equation of motion. Afterwards these equations are linearized and the extended stability and command matrices are constructed by adding some auxiliary equations. The linear control law is obtained and the control matrix containing the unknown coefficients is presented. The design of the control system is based on a modified gradient method. To illustrate the proposed method the synthesis of the control system in the specific case of the SLT ("Suborbital Launcher for Testing - SLT" financed thru „Programme for Research-Development-Innovation on Space Technology and Advanced Research – STAR”) is presented.

Publisher

Trans Tech Publications, Ltd.

Reference10 articles.

1. Berbente C., Mitran S., Zancu S. Metode Numerice , Ed. Tehnică 1997, ISBN 973-31-1135-X.

2. Bryson A.E., and Ho, Y.C., Applied Optimal Control, Hemisphere , New York, 1975, Chap. 3, 5, 9.

3. CHELARU T.V. Dinamica Zborului–Racheta dirijată, Ediţia a-II-a revizuită şi adaugită (Dynamic flight – guided missile – 2-nd edition). , Ed. Printech, Bucureşti, ISBN 973-718-013-5 , mai (2004).

4. CHELARU T.V., BARBU C., CHELARU A., Mathematical model and technical solution for small multistage suborbital launchers, Proceedings of the 4th International Conference on Recent Advances in Space Technologies-RAST2009, ISBN: 978-1-4244-3626-2, Istambul, Turkey, 11-13 Jun (2009).

5. Chelaru T.V., Barbu C. Mathematical model for sounding rockets, using attitude and rotation angles, International Journal of Applied Mathematics and Informatics, ISSN 2074-1278, Issue 1, Volume 3, pp.35-44.

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