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Jayati Dey1, Reetam Mondal1, Suman Halder1

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Summary

This study introduces a generalized order lead/lag compensator design using a non-integer parameter β. This novel approach offers unique solutions for system specifications, improving frequency domain characteristics for better control system performance.

Keywords:
Gain cross-over frequencyGeneralized non-integer order lead/lag compensatorPhase margin (PM)

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Area of Science:

  • Control Systems Engineering
  • Electrical Engineering
  • Systems Theory

Background:

  • Traditional lead/lag compensators have limitations in achieving specific design objectives.
  • Integer-order compensators may not offer optimal solutions for all control system requirements.

Purpose of the Study:

  • To propose a novel design method for generalized order lead/lag compensators.
  • To introduce a new non-integer parameter, β, for enhanced compensator design.
  • To demonstrate the advantages of generalized order compensators over traditional integer-order ones.

Main Methods:

  • Development of a new design methodology for quantifying generalized order compensator parameters.
  • Application of the generalized order lead compensator to achieve maximum phase at the desired gain crossover frequency.
  • Design of the generalized order lag compensator to ensure minimum phase lag at the new gain crossover frequency.

Main Results:

  • The generalized order lead compensator provides a unique solution for desired design specifications, reshaping loop frequency domain characteristics.
  • The generalized order lag compensator effectively minimizes phase lag at the new gain crossover frequency.
  • Simulation and real-time experimental results validate the proposed design method's efficacy.

Conclusions:

  • The proposed generalized order lead/lag compensator design method offers a flexible and effective approach to control system design.
  • The introduction of the non-integer parameter β significantly enhances the capability of lead/lag compensators.
  • The generalized order compensator approach provides superior performance in meeting specific design criteria compared to traditional methods.