Design of a fractional - Order controller for the setpoint ramp tracking problem

Author

Morell, Antoni ; Trujillo, J.J. ; Rivero, M. ; Acosta, Leopoldo

Author_Institution

Dept. of Ing. de Sist. y Autom. y Arquitectura y Tecnol. de Comput. (ISAATC), Univ. de La Laguna, La Laguna, Spain

fYear

2013

fDate

17-19 June 2013

Firstpage

4245

Lastpage

4250

Abstract

It is well known that a classical PI controller cannot accurately follow a ramp setpoint. A real world situation which shows this behavior could be a system composed of a direct current motor whose input setpoint is an acceleration/deceleration ramp. In this paper, we propose the design of a fractional PI^λ controller, with a fractional-order parameter λ > 1, as a well suited approach to solve this problem. The design methodology is frequency-based, which allows finding the corresponding fractional controller parameters in order to guarantee stability, robustness and zero steady-state error.

Keywords

PI control; control system synthesis; stability; acceleration ramp; deceleration ramp; direct current motor; fractional PI^λ controller; fractional controller parameters; fractional-order controller design; fractional-order parameter; ramp setpoint; robustness; setpoint ramp tracking problem; stability; steady-state error; DC motors; Design methodology; Frequency control; Laplace equations; Robustness; Stability analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2013

Conference_Location

Washington, DC

ISSN

0743-1619

Print_ISBN

978-1-4799-0177-7

Type

conf

DOI

10.1109/ACC.2013.6580492

Filename

6580492