Preliminary optimization results for an almost globally stable control law using a genetic algorithm

Matthew Sorgenfrei, Amit K. Sanyal, Sanjay Joshi

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

2 Scopus citations

Abstract

This paper considers the challenge of tuning the gain parameters of an almost globally stable control law for use in a small spacecraft performing a large-angle rotation in low Earth orbit. Previous results have demonstrated the almost global stability of this control law by means of Lyapunov-type methods on the nonlinear space of rigid body rotations. With stability established, it is desirable to draw conclusions about the feasibility of optimizing this control law for specific applications. To this end, a genetic algorithm is used to search the space of admissable gain combinations for a specific controller design that yields optimal performance as defined by a user-generated fitness function. The controller design selected by the genetic algorithm is compared to that obtained using a trial-and-error approach. The genetic algorithm is able to rapidly search a large portion of the overall design space, and generally produces controller designs which outperform those found via trial-and-error tuning.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference 2012
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600869389
DOIs
StatePublished - Jan 1 2012
Externally publishedYes
EventAIAA Guidance, Navigation, and Control Conference 2012 - Minneapolis, MN, United States
Duration: Aug 13 2012Aug 16 2012

Publication series

NameAIAA Guidance, Navigation, and Control Conference 2012

Other

OtherAIAA Guidance, Navigation, and Control Conference 2012
CountryUnited States
CityMinneapolis, MN
Period8/13/128/16/12

ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Sorgenfrei, M., Sanyal, A. K., & Joshi, S. (2012). Preliminary optimization results for an almost globally stable control law using a genetic algorithm. In AIAA Guidance, Navigation, and Control Conference 2012 (AIAA Guidance, Navigation, and Control Conference 2012). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2012-4558