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International Journal of Aerospace Engineering
Volume 2013, Article ID 486020, 7 pages
http://dx.doi.org/10.1155/2013/486020
Research Article

A New Method for Initial Parameters Optimization of Guided Projectiles

The Academy of Equipment, Beijing 101416, China

Received 31 March 2013; Accepted 4 November 2013

Academic Editor: R. Ganguli

Copyright © 2013 Feng Bi-Ming and Nie Wan-Sheng. 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

A new algorithm was developed for the initial parameters optimization of guided projectiles with multiple constraints. Due to the relationship between the analytic guidance logic and state variables of guided projectiles, the Radau pseudospectral method was used to discretize the differential equations including control variables and state variables with multiple constraints into series algebraic equations that were expressed only by state variables. The initial parameter optimization problem was transformed to a nonlinear programming problem, and the sequential quadratic programming algorithm was used to obtain the optimal combinations of initial height and range to target for the final velocity of guided projectiles maximum with constraints. Comparing with the appropriate initial conditions solved by Monte Carlo method and the flight characteristics solved by integrating the original differential equations in the optimal initial parameters computed by the new algorithm, the feasibility of new algorithm was validated.