A Hölder-continuous Extended State Observer for Rigid Body Attitude Dynamics

Ningshan Wang, Amit K. Sanyal

Research output: Chapter in Book/Entry/PoemConference contribution

Abstract

Estimating rigid body attitude dynamics in the presence of unknown or uncertain torques, has applications to unmanned aerial, ground, (under)water and space vehicles. This work provides a new approach to estimating the attitude states and unknown, time-varying, (disturbance) torque vector acting on a rigid body, using an extended state observer. The observer design uses the concept of geometric homogeneity to obtain its stability. A Lyapunov stability analysis is carried out to prove its stability properties. The resulting observer for the attitude states and disturbance torque is smooth, Hölder-continuous, and exhibits almost globally finite-time stable (AG-FTS) with a constant disturbance torque in body frame. These properties are theoretically shown, and a numerical simulation is carried out to demonstrate how the observer works in a realistic attitude estimation scenario.

Original languageEnglish (US)
Title of host publicationIFAC-PapersOnLine
EditorsBidyadhar Subudhi
PublisherElsevier
Pages340-345
Number of pages6
Edition22
ISBN (Electronic)9781713867890
DOIs
StatePublished - Dec 1 2022
Event22nd IFAC Symposium on Automatic Control in Aerospace, ACA 2022 - Proceedings - Mumbai, India
Duration: Nov 21 2022Nov 25 2022

Publication series

NameIFAC-PapersOnLine
Number22
Volume55
ISSN (Electronic)2405-8963

Conference

Conference22nd IFAC Symposium on Automatic Control in Aerospace, ACA 2022 - Proceedings
Country/TerritoryIndia
CityMumbai
Period11/21/2211/25/22

Keywords

  • Attitude Dynamics
  • Disturbance estimation
  • Nonlinear observers

ASJC Scopus subject areas

  • Control and Systems Engineering

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