1. Lagrangian Point State Estimation with Optimized, Redundant Induction Coil Gauges.
- Author
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Tansel, I., Reding, B., and Cooper, W.
- Subjects
- *
LAGRANGIAN points , *INTERFACES (Physical sciences) , *INDUCTION coils , *NOISE , *VELOCITY , *ACCELERATION (Mechanics) , *SAMPLING errors - Abstract
This research effort studies the use of redundant induction coil gauges to reduce state estimation uncertainties for moving Lagrangian points (LPs); e.g. discrete points, moving interfaces, projectiles, etc. The technique embeds a small, high-strength magnet at the LP and simultaneously tracks the magnet continuously with five (5) or more induction coils along a single axis of motion. A calibrated coil gauge model is presented as a function of LP position and velocity. The optimized LP state (position and velocity) estimate based upon redundant LP observations allows direct solution for LP velocity; requiring only one differentiation step to obtain acceleration. A specific experimental implementation (Particulate Materials Meso-scale Diagnostics system) is simulated to evaluate and minimize the expected state estimation errors. Induction coil signals with various levels of noise are simulated based upon a prescribed LP state variation with time. The state optimization algorithm attempts to recover the truth state values. Worst-case position estimation errors of ±0.3 mm and velocity estimation errors of ±0.46 m/s are determined for LPs travelling 0-1,000 m/s at realistic in-lab data noise levels. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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