Unscented state estimation for rigid body attitude motion with a finite-time stable observer

Jan J. Bohn, Amit Sanyal, Eric A. Butcher

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

6 Citations (Scopus)

Abstract

A discrete-time attitude state estimation scheme that uses a global representation of the configuration space for rigid body attitude motion, is presented. This estimation scheme uses discrete-time state measurements of inertially known vectors along with rate gyro measurements of the angular velocity, to obtain state estimates in the filtering stage. Additionally, a set of sigma points is obtained from the unscented transform based on exponential coordinates, with re-sampling centered at the current state estimate at each measurement instant. The state estimates along with sampled sigma points are propagated between measurement instants, using a discrete-time attitude state observer that is almost globally finite-time stable. The propagated sigma points and state estimate are enclosed by a minimum volume ellipsoid at the measurement instant. It is assumed that all states are measured at a constant measurement sample rate and that state measurement errors are bounded by an ellipsoidal bound. The update stage of the filter consists of finding the minimum volume enclosing ellipsoid that contains the propagated sigma points and the measurement uncertainty bound. This updated ellipsoid provides the filtered uncertainty bound and its center provides the updated state estimate. A new set of sigma points is selected from this ellipsoid and the propagation and update steps are repeated between measurement instants. Numerical simulation results confirm the analytically obtained stability properties of the attitude state observer. Numerical results also show that state estimate errors are bounded in the presence of bounded measurement noise and bounded disturbance torque.

Original languageEnglish (US)
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4698-4703
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - Dec 27 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: Dec 12 2016Dec 14 2016

Other

Other55th IEEE Conference on Decision and Control, CDC 2016
CountryUnited States
CityLas Vegas
Period12/12/1612/14/16

Fingerprint

State Estimation
State estimation
Rigid Body
Observer
Motion
Instant
Minimum Volume Ellipsoid
Discrete-time
State Observer
Estimate
Ellipsoid
Update
Measurement Uncertainty
Angular velocity
Resampling
Configuration Space
Measurement Error
Torque
Measurement errors
Error Estimates

ASJC Scopus subject areas

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Optimization

Cite this

Bohn, J. J., Sanyal, A., & Butcher, E. A. (2016). Unscented state estimation for rigid body attitude motion with a finite-time stable observer. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 4698-4703). [7798985] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7798985

Unscented state estimation for rigid body attitude motion with a finite-time stable observer. / Bohn, Jan J.; Sanyal, Amit; Butcher, Eric A.

2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 4698-4703 7798985.

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

Bohn, JJ, Sanyal, A & Butcher, EA 2016, Unscented state estimation for rigid body attitude motion with a finite-time stable observer. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7798985, Institute of Electrical and Electronics Engineers Inc., pp. 4698-4703, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798985
Bohn JJ, Sanyal A, Butcher EA. Unscented state estimation for rigid body attitude motion with a finite-time stable observer. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 4698-4703. 7798985 https://doi.org/10.1109/CDC.2016.7798985
Bohn, Jan J. ; Sanyal, Amit ; Butcher, Eric A. / Unscented state estimation for rigid body attitude motion with a finite-time stable observer. 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 4698-4703
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