Tuning of fractional PID controllers with Ziegler–Nichols-type rules

• DOI: 10.1016/j.sigpro.2006.02.020
• Publication Date: 2006-03-10T15:23:39Z
• Authors: Duarte Valério; José Sá da Costa
• Keywords: 0209 industrial biotechnology; 02 engineering and technology

In this paper two sets of tuning rules for fractional PIDs are presented. These rules are quadratic and require the same plant time-response data used by the first Ziegler-Nichols tuning rule for (usual, integer) PIDs. Hence no model for the plant to control is needed--only an S-shaped step response is. Even if a model is known rules quickly provide a starting point for fine tuning. Results compare well with those obtained with rule-tuned integer PIDs.