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

Abstract

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.
Pages2621-2640
Number of pages20
ISBN (Electronic)9780877036111
StatePublished - Jan 1 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
Volume152
ISSN (Print)0065-3438

Other

Other24th AAS/AIAA Space Flight Mechanics Meeting, 2014
CountryUnited States
CityMexico
Period1/26/141/30/14

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Fingerprint Dive into the research topics of 'Near-optimal feedback guidance for aeroassisted orbital transfer via spatial statistical prediction'. Together they form a unique fingerprint.

Cite this