Near-optimal feedback guidance for aeroassisted orbital transfer via spatial statistical prediction

Pradipto Ghosh, Bruce A. Conway

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Feedback control of constrained non-linear dynamical systems satisfying a certain optimality criterion and meeting a specified transfer objective in the state space is well recognized as one of the most challenging problems in control theory. One approach to computing optimal feedback policies is the well-known dynamic programming route of numerically solving the notoriously difficult Hamilton-Jacobi-Bellman partial differential equation directly. In this paper, the effectiveness of a new implementation of an alternate, and more tractable dynamic programming approach, the optimal feedback synthesis method, is demonstrated through an explicit guidance scheme for the heating-rate-constrained maneuver of an Aeroassisted Transfer Vehicle (AOTV). In optimal feedback synthesis, a feedback chart is constructed from a family of open-loop extremals, thus ensuring optimality with respect to any initial condition in the family. In this work, a solution to the AOTV optimal feedback synthesis problem is proposed using the Gaussian process spatial prediction method of universal kriging. A closed-form expression for the guidance law is derived, the performance of which is found to be very promising; initial atmospheric-entry errors due to simulated thruster misfiring are seen to be accurately corrected while closely respecting the algebraic state-inequality constraint.

Original languageEnglish (US)
Title of host publicationAdvances In The Astronautical Sciences
EditorsDonald L. Mackison, Ossama Abdelkhalik, Roby S. Wilson, Renato Zanetti
PublisherUnivelt Inc.
Number of pages20
ISBN (Electronic)9780877036111
StatePublished - 2014
Event24th AAS/AIAA Space Flight Mechanics Meeting, 2014 - Mexico, United States
Duration: Jan 26 2014Jan 30 2014

Publication series

NameAdvances in the Astronautical Sciences
ISSN (Print)0065-3438


Other24th AAS/AIAA Space Flight Mechanics Meeting, 2014
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science


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