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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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A universal modified LMS algorithm with iteration order hybrid switching.

Songsong Cheng1, Yiheng Wei1, Yuquan Chen1

  • 1Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China.

ISA Transactions
|December 17, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces a fractional order modified least square algorithm (FOMLMS) with an adaptable iteration order. The new FOMLMS enhances convergence speed and response time through a hybrid switch law, validated by numerical examples.

Keywords:
Convergence speedFractional order calculusIteration orderModified least mean squareResponse speedSwitching

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Area of Science:

  • Signal Processing
  • Adaptive Filtering
  • Numerical Algorithms

Background:

  • Least squares algorithms are fundamental in adaptive filtering.
  • Existing methods often have limitations in convergence speed and response time.
  • Fractional calculus offers new possibilities for algorithm design.

Purpose of the Study:

  • To introduce a novel fractional order modified least square algorithm (FOMLMS).
  • To investigate the impact of iteration order (α∈(0,2)) on algorithm performance.
  • To develop a hybrid switch law for optimizing convergence speed.

Main Methods:

  • Development of a fractional order modified least square algorithm (FOMLMS).
  • Analysis of FOMLMS performance across different iteration order intervals (0<α<1 and 1<α<2).
  • Implementation of a hybrid switch law for iteration order control.

Main Results:

  • Larger iteration orders (0<α<2) and step sizes improve response and convergence speeds.
  • The proposed hybrid switch law achieves satisfying convergence without performance sacrifice.
  • Numerical examples validate the effectiveness of the FOMLMS algorithm.

Conclusions:

  • The FOMLMS algorithm offers enhanced performance in adaptive filtering.
  • The iteration order switch strategy is crucial for optimizing convergence.
  • The proposed algorithm demonstrates practical applicability and validity.