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A novel zero delay low pass filter: Application to precision positioning systems.

Milad Alizadeh1, Majid M Moghaddam1, S Hassan HosseinNia2

  • 1Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.

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|November 30, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a novel nonlinear low-pass filter with reduced phase lag. The filter uses a saturation function for enhanced performance, outperforming linear and other nonlinear filters in various noise conditions.

Keywords:
Noise processingNonlinear filterPrecision positioningSensor noiseZero delay filter

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Area of Science:

  • Signal Processing
  • Control Systems Engineering

Background:

  • Linear filters often introduce significant phase lag, limiting their use in precision applications.
  • Existing nonlinear filters may not offer optimal performance across diverse noise profiles.

Purpose of the Study:

  • To develop a nonlinear low-pass filter with substantially reduced phase lag.
  • To enhance filter performance using a saturation function for improved signal fidelity.

Main Methods:

  • Analytical derivation of gain and phase responses using a modified describing function.
  • Numerical simulations to evaluate filter efficiency and performance.
  • Validation in a precision motion control system simulation.

Main Results:

  • The proposed filter exhibits near 0dB gain in the pass-band and -40dB/dec noise attenuation.
  • Phase lag is reduced by three times compared to a 2nd order Butterworth filter.
  • Superior performance over linear and other nonlinear filters for white, blue, and purple noise.

Conclusions:

  • The nonlinear low-pass filter effectively minimizes phase lag while maintaining high noise attenuation.
  • The saturation function enhances performance, making it suitable for precision control systems.
  • A tuning guideline is provided for practical implementation based on noise characteristics.