The control law proposed in this study has a mathematical analytic bound used to reliably estimate the required transfer time to guarantee that the maximum thrust constraint is not violated. Favored by its analytic and iteration-free nature, the transformation can be embedded into onboard guidance planning algorithms without affecting numerical efficiency and enabling an online assessment of the consequences of a bounded, continuous thrust. The resulting control law is compared against the solution of minimum-energy, minimum-time, and minimum-fuel optimal control problems in terms of propellant consumption and transfer time. Two alternative impulsive-to-continuous thrust conversion approaches are derived, and are referred to as forward and backward conversions. The approach proposed in this study makes use of third-order polynomials to shape the trajectory without iterative procedures.

Analytical Impulsive-to-Continuous Thrust Conversion in Linearized Relative Dynamics

Maestrini, Michele;Di Lizia, Pierluigi;Topputo, Francesco
2021-01-01

Abstract

The control law proposed in this study has a mathematical analytic bound used to reliably estimate the required transfer time to guarantee that the maximum thrust constraint is not violated. Favored by its analytic and iteration-free nature, the transformation can be embedded into onboard guidance planning algorithms without affecting numerical efficiency and enabling an online assessment of the consequences of a bounded, continuous thrust. The resulting control law is compared against the solution of minimum-energy, minimum-time, and minimum-fuel optimal control problems in terms of propellant consumption and transfer time. Two alternative impulsive-to-continuous thrust conversion approaches are derived, and are referred to as forward and backward conversions. The approach proposed in this study makes use of third-order polynomials to shape the trajectory without iterative procedures.
2021
File in questo prodotto:
File Dimensione Formato  
MAESM_OA_01-21.pdf

Open Access dal 02/02/2021

Descrizione: Paper Open Access
: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 3.86 MB
Formato Adobe PDF
3.86 MB Adobe PDF Visualizza/Apri
MAESM01-21.pdf

Accesso riservato

Descrizione: Paper
: Publisher’s version
Dimensione 1.01 MB
Formato Adobe PDF
1.01 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1159904
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact