Three-dimensional trajectory optimization for multi-stage launch vehicle mission using a full-space quasi-Lagrangeâ€“Newton method
Keywords:Trajectory optimization, KKT condition, Lagrange-Newton algortihm
AbstractMany aerospace industrial applications require robust and efficient numerical solutions of large sparse nonlinear constrained parameter optimization problems arising from optimal trajectory problems. A three-dimensional multistage launcher problem is taken as a numerical example for studying the performance and applicability of the full-space Lagrangeâ€“Newtonâ€“Krylov method. The typical optimal trajectory, control history and other important physical qualities are presented, and the efficiency of the algorithm is also investigated. References
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