<p>This paper proposed a novel fractional-order filter-PID controller design approach for Second-Order Plus Time Delay (SOPTD) processes within an Internal Model Control (IMC) based Smith predictor framework, using robustness criterion, i.e., maximum sensitivity (Ms) as a design specification. The proposed controller design is systematically structured into a fractional-order IMC filter and an integer-order PID controller, with a systematic optimized methodology for tuning the fractional filter parameters based on a predefined maximum sensitivity. Adding fractional-order parameters extends the range of accomplishable control dynamics beyond those of traditional integer-filter-PID controllers. The proposed approach enhances flexibility in tuning, performance and robustness by employing fractional-order IMC filter with conventional integer-order counterparts. The proposed approach’s superiority is demonstrated by comparing evaluations with the literature, depicting that it significantly minimizes control effort, reduces the Integral of Absolute Error, and fast settling time. Additionally, robust analysis of parameter uncertainties shows that the controller can maintain the required performance even in significant process fluctuations. The proposed method is experimentally validated on a non-interacting liquid level system.</p>

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Robust Smith predictor-based fractional IMC-PID controller design for improved stable SOPTD process performance

  • Aditya Apparasu,
  • Seshagiri Rao Ambati,
  • Vivek Kumar,
  • Uday Bhaskar Babu Gara

摘要

This paper proposed a novel fractional-order filter-PID controller design approach for Second-Order Plus Time Delay (SOPTD) processes within an Internal Model Control (IMC) based Smith predictor framework, using robustness criterion, i.e., maximum sensitivity (Ms) as a design specification. The proposed controller design is systematically structured into a fractional-order IMC filter and an integer-order PID controller, with a systematic optimized methodology for tuning the fractional filter parameters based on a predefined maximum sensitivity. Adding fractional-order parameters extends the range of accomplishable control dynamics beyond those of traditional integer-filter-PID controllers. The proposed approach enhances flexibility in tuning, performance and robustness by employing fractional-order IMC filter with conventional integer-order counterparts. The proposed approach’s superiority is demonstrated by comparing evaluations with the literature, depicting that it significantly minimizes control effort, reduces the Integral of Absolute Error, and fast settling time. Additionally, robust analysis of parameter uncertainties shows that the controller can maintain the required performance even in significant process fluctuations. The proposed method is experimentally validated on a non-interacting liquid level system.