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<p>Phase-lead controllers play a crucial role in industrial applications by improving transient response and system stability. Traditional design methods often depend on graphical or iterative techniques. This paper presents a simple and short analytical method for designing phase-lead controllers tailored for integrating processes with time delays through a direct synthesis approach. We establish a desired closed-loop transfer function between the set-point and output, then derive explicit tuning formulas using pole/zero cancelation and the Maclaurin series. The performance of the proposed design is evaluated on an integrating second-order plus time delay process, considering model parameter uncertainties to assess robustness. Simulation results demonstrate that our approach achieves rapid output responses and smooth control signals while producing robust controllers capable of effectively handling model parameter uncertainties. To evaluate the performance of the proposed design method, this paper examines an additional example involving an electrical network. The phase-lead controller is simulated using PSIM, and the results closely match those obtained from MATLAB.</p>

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Phase-lead control design for integrating plants with time delays: a direct synthesis approach

  • 期刊论文

  • 发表日期：

    2025年7月9日

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  • Saeed Tavakoli,
  • Marzieh Safaei,
  • Amin Zarei

摘要

Phase-lead controllers play a crucial role in industrial applications by improving transient response and system stability. Traditional design methods often depend on graphical or iterative techniques. This paper presents a simple and short analytical method for designing phase-lead controllers tailored for integrating processes with time delays through a direct synthesis approach. We establish a desired closed-loop transfer function between the set-point and output, then derive explicit tuning formulas using pole/zero cancelation and the Maclaurin series. The performance of the proposed design is evaluated on an integrating second-order plus time delay process, considering model parameter uncertainties to assess robustness. Simulation results demonstrate that our approach achieves rapid output responses and smooth control signals while producing robust controllers capable of effectively handling model parameter uncertainties. To evaluate the performance of the proposed design method, this paper examines an additional example involving an electrical network. The phase-lead controller is simulated using PSIM, and the results closely match those obtained from MATLAB.