Analytical FOPID Controller Design based on Bode’s Ideal Transfer Function for Desired Closed Loop Response

Amit Kumar Sahoo and Sudhansu Kumar Mishra

In recent years, the fractional calculus has been studied for its wide range of applications due to its inherent stability region extension property. This article presents a tuning method of fractional order PI D   controllers (FOPID) for a class of feedback control system. The overall transfer function is equivalent to a desired FOPID model. The desired FOPID model is equivalent to Bode’s ideal function   1 G (s) B m 1 s / u    . Due to the robustness and iso-damping property of Bode’s ideal function, it is extensively used in the area of fractional order control. Analytically, the estimation of the five parameters are carried out through step response of stable process. The tuning techniques formulations is derived and the efficacy is tested by taking suitable examples.

Volume 12 | Issue 5

Pages: 9-20

DOI: 10.5373/JARDCS/V12I5/20201683