Proportional integral-fractional filter controller design for first order lag plus time delay system

ABSTRACT

In this work, a design approach of proportional integral-fractional filter (PI-FF) controller for first order plus time delay system (FOPTD) is proposed in order to enhance the feedback control system performance characteristics. The controller design method is drawn up such that the transfer function of the overall closed-loop system is equivalent to the transfer function of the general fractional Bagley–Torvik reference model whose behaviour ranges from relaxation to oscillation for different values of the fractional order derivative and the damping ratio-like parameter. The tuning parameters of the PI-FF controller are derived analytically from the FOPTD process model and the general fractional Bagley–Torvik reference model parameters. Illustrative examples were presented to test the effectiveness and the usefulness of the proposed PI-FF controller on the feedback control system performance characteristics enhancement.

KEYWORDS:

• Fractional Bagley–Torvik equation
• FOPTD model
• fractional controller
• fractional system
• PI controller

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Kaddour Gherfi

Kaddour Gherfi received the Ingéniorat d’Etat degree in Electronics from Constantine University, Algeria, in 2001 and the Magister degree in Semiconductor from Constantine University, Algeria, in 2005. He is currently working towards his PhD degree at the Department of Electronics of the Badji Mokhtar University, Annaba, Algeria. His current research interests are in the area of industrial process control and tuning of fractional order controllers.

Abdelfatah Charef

Abdelfatah Charef received the DES degree in Electronics from Constantine University, Algeria, in 1984, the Master’s and PhD Degrees in Electrical Engineering from Drexel University, USA, in 1987 and 1991, respectively. In September 1991, he joined, as an assistant Professor, the Department of Electronics of Constantine University, Algeria, where he is currently Professor and Director of the Signal Processing Laboratory. His current research interests are in the areas of Fractional Order Operators and Systems and their applications in Control, Signal Processing and Biomedical Signal Processing.

Hadj Ahmed Abbassi

Hadj Ahmed Abbassi received the Ingéniorat d’Etat degree in electrical engineering from Badji Mokhtar University, Annaba, Algeria, in 1985 and the PhD degree from Reading University, United Kingdom, in 1991. In September 1991, he joined, as an assistant Professor, the the Department of Electronics of Badji Mokhtar University, Annaba, Algeria, where he is currently a professor. His current research interests are in the area of industrial process control.