Analytical Design of PI Controllers for First Order plus Time Delay Systems

Year 2018, Volume: 2 Issue: 2, 40 - 47, 31.12.2018

Bilal Şenol Uğur Demiroğlu

Abstract

This study proposes an analytical design method of a
Proportional Integral controller for the stability and performance of first
order plus time delay systems. The method proposed in the study achieves
general computation equations for such systems. Inspired from Bode’s ideal
loop, gain crossover frequency and phase margin specifications are considered
for the system. Then, these specifications are used to obtain the parameters of
the proportional integral controller. Analytically derived formulas by the
proposed method are tested with existing plants in the literature and the
results are illustrated graphically. It is shown that the tuning method
satisfies desired gain crossover frequency and phase margin specifications.

Keywords

First Order Plus Time Delay, PI Controller, Bode’s ideal loop

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