Skip to main navigation Skip to search Skip to main content

Finite-time attitude stabilization for rigid bodies without angular velocity measurement

  • School of Astronautics, Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper investigates the finite-time output feedback stabilization of rigid body attitude dynamics without velocity measurement on the special orthogonal group ( SO(3)). We first transform the stabilization problem on SO(3) into the stabilization issue on its Lie algebra ( so(3)) via the logarithm map. The proposed approach consists of exponential coordinates of SO(3) and the output of a nonlinear filter without the knowledge of the control input. Then the finite-time stability of the resulting closed-loop system is proven based on Lyapunov stability theory and geometric homogeneity technique. Since the set of singularities is zero measure, the proposed velocity-free feedback controller guarantees almost global finite-time stability, which is as strong as the topology of SO(3) can permit. Finally, simulations demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
EditorsJie Chen, Qianchuan Zhao, Jie Chen
PublisherIEEE Computer Society
Pages736-741
Number of pages6
ISBN (Electronic)9789881563910
DOIs
StatePublished - 26 Aug 2016
Externally publishedYes
Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
Duration: 27 Jul 201629 Jul 2016

Publication series

NameChinese Control Conference, CCC
Volume2016-August
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference35th Chinese Control Conference, CCC 2016
Country/TerritoryChina
CityChengdu
Period27/07/1629/07/16

Keywords

  • Finite-time stabilization
  • Lie group and Lie algebra
  • rigid body attitude dynamics
  • the logarithm map

Fingerprint

Dive into the research topics of 'Finite-time attitude stabilization for rigid bodies without angular velocity measurement'. Together they form a unique fingerprint.

Cite this