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Series PID control with higher-order derivatives for processes approximated by IPDT models [Elektronski vir]
Huba, Mikuláš ; Vrančić, Damir ; Bisták, Pavol
The article takes up the pioneering work that led to the development of mass-used industrial controllers known by the original names of automatic-reset and hyper-reset, and generalizes them to an ...open family of controllers with higherorder derivatives and low-pass filters of the required order. For space limitations, the controller order is limited to the maximum degree of derivatives m = 5. For the integrator plus dead time (IPDT) model, the tuning of the controller parameters and filter is performed by the method of multiple real dominant poles and using the equivalent filter delay. The proposed method is successfully tested on a limited controller output, where absolute stability can be demonstrated using the circle criterion. Compared with the SIMC design, illustrative examples verify applicability of derived controllers also by simulation of stable system with dominant first-order dynamics augmented with several shorter time constants and real-time temperature control. They confirm interesting properties of all the family members, acceleration of transients by increasing m and show that the considered maximum m = 5 need not be the final limit for practical application.
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