Many-objective robust trajectory optimisation under epistemic uncertainty and imprecision

This paper proposes a method to generate trajectories that are optimal with respect multiple objectives and robust against epistemic uncertainty. Epistemic uncertainty is modelled probability boxes optimised the lower expectations on cost functions constraint satisfaction. The an approach calculation of expectation using Bernstein polynomials, efficient many-objective optimisation trajectories. A surrogate model combined dimensionality reduction technique contain computational make under tractable. applied design rendezvous mission Apophis spacecraft equipped low thrust engine. presents both case in which specific impulse affected by time dependent engine outage reduces level at random along trajectory. • Formulation trajectory as problem. New for design. Efficient polynomials. Modelling system Rigorous empirical convergence analysis.