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<p>Based on the gradient descent method, this paper presents an optimization-based tuning method for the gains of PID controllers for time delay linear and nonlinear systems. Moreover, it introduces the computation of an optimal control sequence for three classes of discrete dynamical systems: linear with delay, nonlinear with delay, and linear neutral time delay systems. The proposed PID gain optimization method is intended as a practical tuning method for industrial PID controllers. The control sequence computation contributes to an optimal control of discrete linear neutral time delay systems. The effectiveness of the proposed method is demonstrated experimentally using a food dehydrator machine through LabVIEW software.</p>

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Optimization of PID and Optimal Discrete Control for Time Delay Nonlinear Systems via Gradient Descent Applied to a Fish Meat Dehydration Process

  • 期刊论文

  • 发表日期：

    2026年3月21日

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  • Rodrigo-Edgardo Velasco-Rebollo,
  • Omar-Jacobo Santos-Sánchez,
  • Liliam Rodríguez-Guerrero

摘要

Based on the gradient descent method, this paper presents an optimization-based tuning method for the gains of PID controllers for time delay linear and nonlinear systems. Moreover, it introduces the computation of an optimal control sequence for three classes of discrete dynamical systems: linear with delay, nonlinear with delay, and linear neutral time delay systems. The proposed PID gain optimization method is intended as a practical tuning method for industrial PID controllers. The control sequence computation contributes to an optimal control of discrete linear neutral time delay systems. The effectiveness of the proposed method is demonstrated experimentally using a food dehydrator machine through LabVIEW software.