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New tuning formulas for a nonlinear PID control scheme

Author

Listed:
  • Yung-Deug Son

    (Korea University of Technology and Education)

  • Gang-Gyoo Jin

    (Adama Science and Technology University)

  • Tefera T. Yetayew

    (Adama Science and Technology University)

  • Pikaso Pal

    (Indian Institute of Technology (Indian School of Mines))

Abstract

Many processes operated in chemical process industries show time-varying and highly nonlinear characteristics. This paper proposes an enhanced nonlinear PID (NPID) controller for the improvement of setpoint tracking or disturbance rejection responses and new tuning formulas for a FOPTD process model. The NPID controller has a structure with a first-order filter in the derivative term to avoid possible Derivative Kick. The parameters of the NPID controller are expressed in terms of the ratio L/τ of the time delay L to the time constant τ in the process by using the dimensionless approach. Repeated optimizations are performed for each value over the ranges of 0.01 to 1 and 1 to 3 of L/τ and over the ranges of 5 to 30 of the filter parameter N to obtain the average of optimal parameter values that minimize the integral of absolute error performance criterion. By using the least-squares method with together the calculated optimal values and the rule formulas, the tuning rules are obtained. A set of simulation works on the five processes are carried out to demonstrate tracking and disturbance performance and robustness against the noise of this approach.

Suggested Citation

  • Yung-Deug Son & Gang-Gyoo Jin & Tefera T. Yetayew & Pikaso Pal, 2023. "New tuning formulas for a nonlinear PID control scheme," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(6), pages 2470-2484, December.
    • Handle: RePEc:spr:ijsaem:v:14:y:2023:i:6:d:10.1007_s13198-023-02094-w
    DOI: 10.1007/s13198-023-02094-w
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