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Mathematical Problems in Engineering
Volume 2015, Article ID 173571, 11 pages
http://dx.doi.org/10.1155/2015/173571
Research Article

Swerving Orientation of Spin-Stabilized Projectile for Fixed-Cant Canard Control Input

School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 10081, China

Received 14 December 2014; Accepted 2 March 2015

Academic Editor: Hakim Naceur

Copyright © 2015 Xu-dong Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Due to the large launch overload and high spin rate of spin-stabilized projectile, no attitude sensor is adopted in square crossing fixed-cant canard concept, which causes the lack of existing projectile linear theory for the close form solution of swerving motion. This work focuses on swerving orientation prediction with the restricted conditions. By importing the mathematical models of canard force and moment into the projectile angular motion equations, trim angle induced by canard control force is extracted as the analytical solution of angle of attack increment (AOAI). On this basis, analytical orientations of trajectory angular rate increment and swerving increment are obtained via the frozen coefficient method. A series of simulations under different conditions were implemented to validate the expressions in this effort. Results state that increment orientation of swerving motion can be predicted with available trajectory parameters. The analytical orientations indicate trim value of numerical orientations. Deviations between analytical and numerical orientations relate to initial launch angles and control start time, both lower initial launch angle, and the start time which is closer to the end of flight decreases the deviation convergence time.