Attitude Determination Using a Single Sensor Observation: Analytic Quaternion Solutions and Property Discussion

Abstract : This study solves the attitude determination problem based on a single sensor observation. The rotation equation is transformed into a quadratic quaternion form and is then derived to a linear matrix equation with pseudoinverse matrices. The analytic solutions to the equation are computed via elementary row operations. The solutions show that the attitude determination from a single sensor observation has infinite solutions and the general one is governed by two limiting quaternions. Accordingly, the variance analysis is given in view of probabilistic characters. The authors explore the experimental results via the accelerometer attitude determination system. The properties of the two limiting quaternions are investigated in the experiment. The results show that the gravity-determination abilities of the two limiting quaternions are quite different. Using the rotation vector and eigenvalue decomposition of the attitude matrix, the authors prove that one limiting quaternion is better than another one geometrically. The singularity analysis is also performed revealing the non-existence of singularities for limiting quaternions. The above findings are novel, which are quite different from the conclusions made in a previously published study
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/hal-01514132
Contributor : Hassen Fourati <>
Submitted on : Tuesday, April 25, 2017 - 5:16:57 PM
Last modification on : Thursday, August 22, 2019 - 11:32:02 AM

Identifiers

Collections

Citation

Jin Wu, Zebo Zhou, Rui Li, Long Yang, Hassen Fourati. Attitude Determination Using a Single Sensor Observation: Analytic Quaternion Solutions and Property Discussion. IET Science Measurement and Technology, Institution of Engineering and Technology, 2017, 11 (6), pp.731-739. ⟨10.1049/iet-smt.2016.0202⟩. ⟨hal-01514132⟩

Share

Metrics

Record views

330