All-At-Once formulation integrating pseudo-spectral optimal control for launch vehicle design and uncertainty quantification

Launch vehicle design is a multidisciplinary process involving different disciplines such as aerodynamics, structure, propulsion and trajectory. This latter key discipline in the it used to assess overall performance of by solving an optimal control problem system nonlinear ordinary differential equations. Usual Multidisciplinary Design Optimization methods for launch consider trajectory auxiliary embedded optimization find control. In this paper, approach proposed relying on All-At-Once formulation using Gauss–Lobatto collocation technique solve problem. The solved gradient-based optimizer. Furthermore, based framework, uncertainty quantification post-optimality analysis derived perform sensitivity analysis. allows analyze influence modeling early phases. efficiency illustrated representative Two-Stage-To-Orbit