Tuning and application of fractional order PID controllers

In this paper, basic concepts of fractional calculus are presented above all. Then, fractional order PI^λD^μ controllers are briefly introduced which include the structure and form of transfer function of the fractional order PID controller. Additionally, the minimal optimization methods, Ziegler-Nichols tuning rules were introduced. Based on these methods, we have considered the steam pressure model. The simulation result shows that we can obtain more stability control system by using the tuning-rules introduced in this paper.