CAMELOT: Computational-Analytical Multi-fidElity Low-thrust Optimisation Toolbox

“…Pollard [132] extended Burt's approach to the case of discontinuous acceleration by analyzing the perigee-and apogee-centered burn arcs, and extended the analysis to simultaneously change the eccentricity and inclination. Many of the aforementioned analytical approaches are implemented in the preliminary design software tool CAMELOT (Computational-Analytical Multifidelity Low-thrust Optimization Toolbox) [133].…”

Section: Analytical Solutionsmentioning

confidence: 99%

A Survey on Low-Thrust Trajectory Optimization Approaches

2021

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In this paper, we provide a survey on available numerical approaches for solving low-thrust trajectory optimization problems. First, a general mathematical framework based on hybrid optimal control will be presented. This formulation and their elements, namely objective function, continuous and discrete state and controls, and discrete and continuous dynamics, will serve as a basis for discussion throughout the whole manuscript. Thereafter, solution approaches for classical continuous optimal control problems will be briefly introduced and their application to low-thrust trajectory optimization will be discussed. A special emphasis will be placed on the extension of the classical techniques to solve hybrid optimal control problems. Finally, an extensive review of traditional and state-of-the art methodologies and tools will be presented. They will be categorized regarding their solution approach, the objective function, the state variables, the dynamical model, and their application to planetocentric or interplanetary transfers.

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“…In this deterministic case, the constraint is imposed on the final state to exactly match the equinoctial elements of Apophis at the final time, and the objective function, to be minimised, is the low-thrust ∆V . The reference trajectory was generated with FABLE (Fast Analytical Boundary-value Low-thrust Estimator) [22], which transcribes the optimal control problem into a sequence of coast and constant thrust arcs with variable length. The size of each thrust and cost arc is then optimised to minimise the objective function and satisfy the boundary conditions.…”

Section: Mission Scenariomentioning

confidence: 99%

Direct multiple shooting transcription with polynomial algebra for optimal control problems under uncertainty

et al. 2020

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This paper proposes a novel approach to the solution of optimal control problems under uncertainty (OCPUUs). OCPUUs are first cast in a general formulation that allows the treatment of uncertainties of different nature, and then solved with a new direct transcription method that combines multiple shooting with generalised polynomial algebra to model and propagate extended sets.The continuity conditions on extended sets at the boundary of two adjacent segments are directly satisfied by a bounding approach. The Intrusive Polynomial Algebra aNd Multiple shooting Approach (IPANeMA) developed in this work can handle optimal control problems under a wide range of uncertainty models, including nonparametric, epistemic, and imprecise probability ones. In this paper, the approach is applied to the design of a robust low-thrust trajectory to a Near-Earth Object with uncertain initial conditions. It is shown that the new method provides more robust and reliable trajectories than the solution of an analogous deterministic optimal control problem.

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CAMELOT: Computational-Analytical Multi-fidElity Low-thrust Optimisation Toolbox

Cited by 8 publications

References 22 publications

Many-objective robust trajectory optimisation under epistemic uncertainty and imprecision

Many-objective robust trajectory optimisation under epistemic uncertainty and imprecision

A Survey on Low-Thrust Trajectory Optimization Approaches

Direct multiple shooting transcription with polynomial algebra for optimal control problems under uncertainty

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