Trajectory Optimization for Controllable Rockets Based on Gauss Pseudo Spectral Method
Shen Guan-ju · Journal of Projectiles.Rockets.Missiles and Guidance · 2015
To solve trajectory optimization problems of controllable rockets,an optimization design method based on Gauss pseudo spectral method was proposed. The motion model of rockets in flight plane was established,the movement of rockets was taken as path constraints,and then the conditions of flight start and end point were taken as boundary constraints,trajectory optimization model was established. This trajectory optimization problem was transformed into a series of nonlinear programming problems based on the Gauss pseudo spectral method and solved by sequential quadratic programming method. Finally,with range as the optimization index,a certain type of rocket was simulated,the trajectory range significantly increased after optimization while the stability of the flight was maintained,which shows the proposed optimization method can effectively optimize trajectory and has a characteristic of fast convergence speed.