Conjugate unscented transformation based collocation scheme to solve the Hamilton jacobi bellman equation

Nagavenkat Adurthi, Puneet Singla, Manoranjan Majji

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

1 Scopus citations


This paper deals with the development of a computational efficient approach to approximate the solution to the Hamilton Jacobi Bellman equation. The primary focus is to generate optimal feedback controllers for nonlinear systems in higher dimensions. Solving the Hamilton Jacobi Bellman partial differential equation is known to be a computationally challenging problem due to the curse of dimensionality with the increase in dimension. A collocation based approach is adopted, where the collocation points are chosen as the recently developed Conjugate Unscented Transform points to avoid the curse of dimensionality. Further a l1-norm based optimization problem is proposed to optimally select the basis that is suitable for the given dynamical system.

Original languageEnglish (US)
Title of host publicationAstrodynamics 2015
EditorsJames D. Turner, Geoff G. Wawrzyniak, William Todd Cerven, Manoranjan Majji
PublisherUnivelt Inc.
Number of pages18
ISBN (Print)9780877036296
StatePublished - 2016
EventAAS/AIAA Astrodynamics Specialist Conference, ASC 2015 - Vail, United States
Duration: Aug 9 2015Aug 13 2015

Publication series

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


OtherAAS/AIAA Astrodynamics Specialist Conference, ASC 2015
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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