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Performance Assessment of Convex Low-Thrust Trajectory Optimization Methods

Christian Hofmann, Andrea C. Morelli, Francesco Topputo

2022Journal of Spacecraft and Rockets36 citationsDOIOpen Access PDF

Abstract

Different discretization and trust-region methods are compared for the low-thrust fuel-optimal trajectory optimization problem using successive convex programming. In particular, the differential and integral formulations of the adaptive pseudospectral Legendre–Gauss–Radau method, an arbitrary-order Legendre–Gauss–Lobatto technique based on Hermite interpolation, and a first-order-hold discretization are considered. The number of discretization points and segments is varied. Moreover, two hard-trust-region methods and a soft-trust-region strategy are compared. It is briefly discussed whether these methods, if implemented on relevant hardware, would fulfill the general requirements for onboard guidance. A perturbed cubic interpolation and the propagation of the nonlinear dynamics are used to generate initial guesses of varying quality. Interplanetary transfers to a near-Earth asteroid, Venus, and asteroid Dionysus are chosen to assess the overall performance.

Topics & Concepts

Gauss pseudospectral methodTrajectory optimizationDiscretizationInterpolation (computer graphics)TrajectoryLegendre polynomialsComputer scienceMathematical optimizationThrustApplied mathematicsMathematicsOptimal controlControl theory (sociology)Aerospace engineeringPhysicsMathematical analysisPseudo-spectral methodEngineeringComputer graphics (images)AstronomyFourier transformControl (management)AnimationArtificial intelligenceFourier analysisSpacecraft Dynamics and ControlAstro and Planetary ScienceAerospace Engineering and Control Systems