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Published on: June 24, 2016
Angle estimation of simultaneous orthogonal rotations from 3D gyroscope measurements
1Faculty of Electrical Engineering, University of Ljubljana, Ljubljana 1000, Slovenia. sara.stancin@fe.uni-lj.si
Sensors (Basel, Switzerland)
|December 14, 2011
Summary
This study introduces the simultaneous orthogonal rotations angle (SORA) vector for gyroscope data. SORA simplifies calculating angular orientation from simultaneous rotations, avoiding complex iterative methods.
Area of Science:
- Engineering
- Physics
- Robotics
Background:
- 3D gyroscopes measure angular velocities for orientation estimation.
- Simultaneous rotations are non-commutative and cannot be treated sequentially.
- Existing methods often rely on iterative approximations.
Purpose of the Study:
- To derive a single rotation equivalent to three simultaneous rotations around orthogonal axes.
- To introduce the simultaneous orthogonal rotations angle (SORA) vector.
- To provide a simplified method for real-time angular orientation calculation.
Main Methods:
- Analytic derivation of the equivalent single rotation axis and angle.
- Definition of the SORA vector based on simultaneous rotation angles.
- Experimental validation of the SORA concept.
Main Results:
- The SORA vector's orientation and magnitude directly represent the equivalent single rotation axis and angle.
- Angular orientation can be calculated in a single step using SORA.
- Test measurements confirmed the validity and simplicity of the SORA concept.
Conclusions:
- SORA offers a direct and simplified method for angular orientation calculation.
- It is well-suited for real-time applications using gyroscope data.
- SORA provides a novel notation for general angular orientation representation.
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