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Robust optimisation of low-thrust interplanetary transfers using evidence theory

Di Carlo, Marilena and Vasile, Massimiliano and Greco, Cristian and Epenoy, Richard (2019) Robust optimisation of low-thrust interplanetary transfers using evidence theory. In: 29th AAS/AIAA Space Flight Mechanics Meeting. Univelt Inc, San Diego, CA.

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Abstract

This work presents the formulation and solution of optimal control problems under epistemic uncertainty, when theuncertainty is modelled with Dempster-Shaffer theory of evidence. The application is to the design of low-thrust interplanetary transfers with epistemic uncertainty in the performance of the propulsion system and initial launch mass. The problem is solved by transforming the exact formulation, that uses discontinuous Belief functions, into an inexact formulation that uses a new continuous statistical function that approximates the value of the Belief function. The method is applied to the design of optimal low-thrust transfers from the Earth to asteroid Apophis.