TY - JFULL AU - Kouamana Bousson and Paulo Machado PY - 2010/10/ TI - 4D Flight Trajectory Optimization Based on Pseudospectral Methods T2 - International Journal of Aerospace and Mechanical Engineering SP - 878 EP - 885 VL - 4 SN - 1307-6892 UR - https://publications.waset.org/pdf/11036 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 45, 2010 N2 - The optimization and control problem for 4D trajectories is a subject rarely addressed in literature. In the 4D navigation problem we define waypoints, for each mission, where the arrival time is specified in each of them. One way to design trajectories for achieving this kind of mission is to use the trajectory optimization concepts. To solve a trajectory optimization problem we can use the indirect or direct methods. The indirect methods are based on maximum principle of Pontryagin, on the other hand, in the direct methods it is necessary to transform into a nonlinear programming problem. We propose an approach based on direct methods with a pseudospectral integration scheme built on Chebyshev polynomials. ER -