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Appl. Sci. 2017, 7(8), 758; doi:10.3390/app7080758

Performance Analysis and Design Strategy for a Second-Order, Fixed-Gain, Position-Velocity-Measured (α-β-η-θ) Tracking Filter

1
Department of Intelligent Systems Design Engineering, Toyama Prefectural University, Imizu 939-0398, Japan
2
Department of Electronic and Computer Engineering, Ritsumeikan University, Kusatsu 525-8577, Japan
*
Author to whom correspondence should be addressed.
Academic Editor: Felipe Jimenez
Received: 29 June 2017 / Revised: 21 July 2017 / Accepted: 21 July 2017 / Published: 26 July 2017
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Abstract

We present a strategy for designing an α - β - η - θ filter, a fixed-gain moving-object tracking filter using position and velocity measurements. First, performance indices and stability conditions for the filter are analytically derived. Then, an optimal gain design strategy using these results is proposed and its relationship to the position-velocity-measured (PVM) Kalman filter is shown. Numerical analyses demonstrate the effectiveness of the proposed strategy, as well as a performance improvement over the traditional position-only-measured α - β filter. Moreover, we apply an α - β - η - θ filter designed using this strategy to ultra-wideband Doppler radar tracking in numerical simulations. We verify that the proposed strategy can easily design the gains for an α - β - η - θ filter based on the performance of the ultra-wideband Doppler radar and a rough approximation of the target’s acceleration. Moreover, its effectiveness in predicting the steady state performance in designing the position-velocity-measured Kalman filter is also demonstrated. View Full-Text
Keywords: α-β-η-θ filter; tracking filter design; velocity measurements; Kalman filter; α-β filter; UWB Doppler radar α-β-η-θ filter; tracking filter design; velocity measurements; Kalman filter; α-β filter; UWB Doppler radar
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Saho, K.; Masugi, M. Performance Analysis and Design Strategy for a Second-Order, Fixed-Gain, Position-Velocity-Measured (α-β-η-θ) Tracking Filter. Appl. Sci. 2017, 7, 758.

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