• Login
    View Item 
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via Theory of Functional Connections

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    TFC_FOL.pdf
    Size:
    2.624Mb
    Format:
    PDF
    Description:
    Final Accepted Manuscript
    Download
    Author
    Johnston, Hunter
    Schiassi, Enrico
    Furfaro, Roberto
    Mortari, Daniele
    Affiliation
    Univ Arizona, Syst & Ind Engn
    Univ Arizona, Aerosp & Mech Engn
    Issue Date
    2020-09-25
    Keywords
    Fuel optimal pinpoint landing
    Theory of functional connections
    Optimal control
    Indirect method
    Least-squares
    Constraint embedding
    
    Metadata
    Show full item record
    Publisher
    SPRINGER HEIDELBERG
    Citation
    Johnston, H., Schiassi, E., Furfaro, R. et al. Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via Theory of Functional Connections. J Astronaut Sci (2020). https://doi.org/10.1007/s40295-020-00228-x
    Journal
    JOURNAL OF THE ASTRONAUTICAL SCIENCES
    Rights
    Copyright © American Astronautical Society 2020.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    In this paper we present a new approach to solve the fuel-efficient powered descent guidance problem on large planetary bodies with no atmosphere (e.g., Moon or Mars) using the recently developed Theory of Functional Connections. The problem is formulated using the indirect method which casts the optimal guidance problem as a system of nonlinear two-point boundary value problems. Using the Theory of Functional Connections, the problem's linear constraints are analytically embedded into a functional, which maintains a free-function that is expanded using orthogonal polynomials with unknown coefficients. The constraints are always analytically satisfied regardless of the values of the unknown coefficients (e.g., the coefficients of the free-function) which converts the two-point boundary value problem into an unconstrained optimization problem. This process reduces the whole solution space into the admissible solution subspace satisfying the constraints and, therefore, simpler, more accurate, and faster numerical techniques can be used to solve it. In this paper a nonlinear least-squares method is used. In addition to the derivation of this technique, the method is validated in two scenarios and the results are compared to those obtained by the general purpose optimal control software, GPOPS-II. In general, the proposed technique produces solutions of O(10(-10)) accuracy. Additionally, for the proposed test cases, it is reported that each individual TFC-based inner-loop iteration converges within 6 iterations, each iteration exhibiting a computational time between 72 and 81 milliseconds, with a total execution time of 2.1 to 2.6 seconds using MATLAB. Consequently, the proposed methodology is potentially suitable for real-time computation of optimal trajectories.
    Note
    12 month embargo; published 25 September 2020
    ISSN
    0021-9142
    EISSN
    2195-0571
    DOI
    10.1007/s40295-020-00228-x
    Version
    Final accepted manuscript
    Sponsors
    Johnson Space Center
    ae974a485f413a2113503eed53cd6c53
    10.1007/s40295-020-00228-x
    Scopus Count
    Collections
    UA Faculty Publications

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.