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Continuous fractional-order Zero Phase Error Tracking Control.

Lu Liu1, Siyuan Tian2, Dingyu Xue3

  • 1School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, 710072, China.

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|February 21, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a Fractional-Order Zero Phase Tracking Controller (FZPETC) to improve how fractional-order systems follow changing signals. The controller effectively cancels phase shifts, enhancing tracking performance for various system types.

Keywords:
Feedforward controlFractional calculusTracking controlZero-pole cancellation

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Area of Science:

  • Control Systems Engineering
  • Applied Mathematics
  • Nonlinear Dynamics

Background:

  • Fractional-order systems present unique control challenges due to their complex dynamics.
  • Traditional controllers often struggle with phase shift issues in fractional-order systems.
  • Accurate tracking of time-varying signals is crucial in many advanced applications.

Purpose of the Study:

  • To propose a novel continuous-time fractional-order feedforward control algorithm for precise signal tracking.
  • To develop a Fractional-Order Zero Phase Tracking Controller (FZPETC) that cancels phase shifts caused by system zeros and poles.
  • To introduce a modified quasi-perfect tracking scheme for systems with limited future trajectory information or high-frequency disturbance issues.

Main Methods:

  • Design of FZPETC for fractional-order systems with and without non-cancellable zeros.
  • Application of FZPETC to three distinct fractional-order controlled systems to evaluate performance.
  • Development and validation of a modified quasi-perfect tracking scheme.
  • Simulation comparisons and hardware-in-the-loop testing on a thermal Peltier platform.

Main Results:

  • The FZPETC successfully improved tracking performance in diverse fractional-order systems.
  • The controller effectively cancels phase shifts, leading to enhanced signal tracking accuracy.
  • The modified quasi-perfect tracking scheme demonstrated practicality for challenging system scenarios.
  • Hardware validation confirmed the real-world applicability of the proposed control algorithms.

Conclusions:

  • The proposed FZPETC offers a robust solution for tracking control in fractional-order systems.
  • The modified quasi-perfect tracking scheme provides an effective alternative for complex tracking tasks.
  • The study validates the practical implementation of advanced fractional-order control strategies.