New tuning formulas for a nonlinear PID control scheme

Yung-Deug Son, Gang-Gyoo Jin, Tefera T. Yetayew and Pikaso Pal ()
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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)

International Journal of System Assurance Engineering and Management, 2023, vol. 14, issue 6, No 34, 2470-2484

Abstract: 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.

Keywords: Nonlinear PID controller; Tuning rules; FOPTD model; Genetic algorithms; CSTR (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13198-023-02094-w

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