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

Abstract

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.
Pages3163-3180
Number of pages18
ISBN (Print)9780877036296
StatePublished - Jan 1 2016
EventAAS/AIAA Astrodynamics Specialist Conference, ASC 2015 - Vail, United States
Duration: Aug 9 2015Aug 13 2015

Publication series

NameAdvances in the Astronautical Sciences
Volume156
ISSN (Print)0065-3438

Other

OtherAAS/AIAA Astrodynamics Specialist Conference, ASC 2015
CountryUnited States
CityVail
Period8/9/158/13/15

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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    Adurthi, N., Singla, P., & Majji, M. (2016). Conjugate unscented transformation based collocation scheme to solve the Hamilton jacobi bellman equation. In J. D. Turner, G. G. Wawrzyniak, W. T. Cerven, & M. Majji (Eds.), Astrodynamics 2015 (pp. 3163-3180). (Advances in the Astronautical Sciences; Vol. 156). Univelt Inc..