Tuning rules: Graphical analysis and experimental validation of a simplified fractional order controller for a class of open‐loop unstable systems

Abstract

AbstractThe design of non‐integer order controllers and tuning of its fractional parameters have attracted the research community of science and engineering in previous years. However, few attempts already have been done by the researchers to present the excellent results for some limited cases of models using fractional controllers; still, many physical world problems are untouched and waiting to be discovered. The big obstacle which impounds the adaptation of non‐integer controllers is the complexity in the tuning rules for physical systems. The objective of this article is to present a novel graphical tuning approach of mono and dual degree fractional controllers to fulfill the five different design requirements such as iso‐damping, gain crossover frequency, sensitivity, phase margin, and steady‐state error cancellation. To demonstrate the effectiveness of the suggested tuning technique, two test bench setups, rotary inverted pendulum and magnetic levitation system, have been taken as a case study. The experimental results are given to validate the effectiveness of the proposed method.