Generalized phase compensator of continuous time plants

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.