Fractional order PID controller (FOPID)-Toolbox

Author

Lachhab, Nabil ; Svaricek, Ferdinand ; Wobbe, F. ; Rabba, Heiko

Author_Institution

Dept. of Aerosp. Eng., Univ. of the Fed. Armed Forces Munich, Neubiberg, Germany

fYear

2013

Firstpage

3694

Lastpage

3699

Abstract

This paper presents a fractional order PID controller (FOPID)-Toolbox to design robust fractional PID controllers achieving a desired crossover frequency and a desired phase margin. A novel approach based on nonsmooth optimization techniques is used. Two types of controllers are considered, the (PID)ⁿ and PI^αD^β controllers. The requirements to be fulfilled by the controller are expressed in terms of a desired open-loop response. Loop shaping configuration is used to synthesize the controller. To optimize the fractional orders an optimization algorithm based on the steepest descent method is used. Simulation results show the benefit of our method.

Keywords

control system synthesis; gradient methods; open loop systems; optimisation; three-term control; (PID)ⁿ controllers; FOPID toolbox; PI^αD^β controllers; controller synthesis; crossover frequency; fractional order PID controller toolbox; loop shaping configuration; nonsmooth optimization techniques; open-loop response; optimization algorithm; phase margin; robust fractional PID controller design; steepest descent method; Approximation methods; Gain; Optimization; Robustness; Transfer functions; Tuning;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2013 European

Type

conf

Filename

6669365