Abstract

On-board state estimation is a persistent challenge to fielding unmanned aerial systems (UAS), particularly when global positioning system (GPS) measurements are not available. The dominant estimation tool remains the extended Kalman filter (EKF) applied to an inertial measurement unit (IMU). The growing availability of low-cost commercial-grade IMUs raises questions about how to best improve sensor readings into an estimate when measurements are available from multiple IMUs. This paper evaluates four different approaches to attitude estimation from multiple IMU measurements and their application in high dynamic motion. The four approaches are fusion of measurements (virtual IMU), fusion of state estimates (Federated KF), feedback fusion state estimate (Feedback Federated KF), and an EKF design incorporating the additional measurements (Augmented KF); these correspond to fusion before, within, or after state estimation. The performance of the approaches are quantified for varying IMU number theoretically and experimentally. The experiments use on-board autopilot hardware implementations of the estimators during maneuvers in a motion capture volume and flights on-board an Unmanned Aerial Systems (UAS) implementation, with the peak and root-mean-square (RMS) errors used to quantify accuracy. The RMS error results indicate that the feedback federated Kalman Filter using five IMUs returns 38% compared to general federated Kalman Filter using 37% accuracy improvement over a single IMU. This improvement compares to a 19% improvement for virtual IMU and 9% improvement for the Augmented KF respectively. These results indicate that both the Federated KF approach achieves the lowest RMS error relative to the virtual IMU and augmented KF approaches and inform the design of multi-IMU UAS pose estimators.

Highlights

  • In recent years, the growth in commercial applications of Unmanned Aerial Systems (UAS) have been supported by the availability of inertial measurement units (IMUs)

  • This study explores four approaches to this problem, which are referred to as the federated Kalman filter (FKF), The augmented Kalman filter (AKF), and the virtual inertial measurement unit approach

  • The results consistently indicate that Federated Kalman filter has the best improvement in state estimation accuracy no matter the number on IMU’s employed

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Summary

INTRODUCTION

The growth in commercial applications of Unmanned Aerial Systems (UAS) have been supported by the availability of inertial measurement units (IMUs). IMU manufacturing processing improvements have resulted in reductions of size, price and power consumption, combined with software and algorithm development including sensor calibration, measurement integration, sensor fusion. These advances have all supported the proliferation of consumer grade IMUs in low-cost UAS platforms. As commercial UAS applications extend to becoming measurement system platforms, there is a need for improved state estimation accuracy without significant cost increase. We than analyze and quantify the performance of the sensor fusion by implementing the multi-IMU state estimation using a hardware example with five IMUs. The remainder of this paper is structured as follows.

PREVIOUS WORK
PROBLEM STATEMENT
ESTIMATOR FUSION FORMULATION AND ERROR ANALYSIS
AUGMENTED KALMAN FILTER
LOCAL FILTER FORMULATION
ATTITUDE ESTIMATION USING KINEMATIC
EXPERIMENTAL IMPLEMENTATION
PERFORMANCE ANALYSIS IN MOTION CAPTURE ENVIRONMENT
Findings
CONCLUSION
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