A General Method for Designing Fractional Order PID Controller

Subject Areas : Fractional order systems

Marzieh  Safaei ¹ (Ms.C/Najafabad Branch, Islamic Azad University)
Saeed  Hosseinia ² (Assistant Professor/Isfahan University of Technology)
Mojtaba  Hosseini Toodeshki ³ (Assistant Professor/University of Applied Science and Technology)

Received: 2012-05-13 Accepted : 2012-12-20 Published : 2013-01-01

Keywords: fractional order calculus, fractional order PID controller,

Abstract :

The idea of using fractional order calculus in control became apparent when this kind of calculus was accepted as a powerful tool in many applications. This resulted in a new generation of PID controller called fractional order PID Controller, named as  Controller.  controller is more flexible and provides a better response with larger stability region as compared with standard PID controller. This paper presents a simple and reliable method for finding the family of controllers. The required calculations are done in frequency domain based on frequency response of the system and the stability region is specified in the parameters space. This method can be used for time-delay systems and, more generally, for any system with no transfer function.