An online ascent phase trajectory reconstruction algorithm using Gauss Pseudospectral Method

In this paper, we present an online ascent phase trajectory reconstruction algorithm using Gauss Pseudospectral Method. Gauss Pseudospectral Method (GPM) was used to transform the ascent phase trajectory optimization problem into Nonlinear Program Problem (NLP), we solve the problem using a optimization software named GPOPS in matlab. Using this method we can calculate the optimal trajectory control volume and feedback to update the guidance commands online. Credible analysis of the optimized results has been done to prove its accuracy. At last, we compare the trajectory recon- struction algorithm to a law without reconstruction algorithm via simulation with aerodynamic and thrust disturbance. The simulation results indicate that the method proposed above offers improved performance and has ability for real-time calculating.