144 Int. J. Convergence Computing, Vol. 2, No. 2, 2016
Copyright © 2016 Inderscience Enterprises Ltd.
Adaptive proportional derivative controller using
fuzzy logic
Ritu Rani De Maity* and Rajani K. Mudi
Instrumentation and Electrical Engineering Department,
Jadavpur University,
Kolkata – 700098, India
Email: ritu_maity_8@yahoo.co.in
Email: rkmudi@yahoo.com
*Corresponding author
Abstract: Design of an improved fuzzy rule-based auto-tuning PD controller
has been done with conventional Ziegler-Nichols PID controller. It has been
observed that for the very common system in industry, the integrating system,
the classical Ziegler-Nichols tuned PID controller (ZNPID) gives excessively
large value of overshoot and settling time. Here, the proposed controller is a
fuzzy auto-tuning PD (FAPD) controller. The value of the derivative gain of
the conventional PD controller is continuously updated by a factor α. The value
of α is determined depending on the process trend, i.e., normalised value of
error (e) and change of error (Δe) and 49 or nine fuzzy if then rules. In FAPD,
the updating factor ‘α’ continuously updates the value of derivative gain to
provide an overall good performance during set point change and load
disturbance. To study the effectiveness of the proposed controller FAPD has
been tested and compared with other PID controllers for different integrating
systems with varying dead time.
Keywords: PID control; PD control; Ziegler-Nichols tuning; auto-tuning;
integrating process.
Reference to this paper should be made as follows: De Maity, R.R. and
Mudi, R.K. (2016) ‘Adaptive proportional derivative controller using fuzzy
logic’, Int. J. Convergence Computing, Vol. 2, No. 2, pp.144–160.
Biographical notes: Ritu Rani De Maity received her BE in Electronics and
Instrumentation Engineering from Vidyasagar University in 2003 and ME in
Illumination Engineering from Electrical Department at Jadavpur University in
2006. Currently she is pursuing her PhD in Instrumentation and Electronics
Engineering Department at Jadavpur University.
Rajani K. Mudi received his BTech and MTech in Applied Physics from the
University of Calcutta, India in 1990 and 1992 respectively. Currently he is
Professor (HOD) in the Instrumentation and Electronics Engineering
Department at Jadavpur University, Calcutta, India and working there since
1992. He was a Guest Lecturer in the Department of Applied Physics from
1993 to 1996 and in the Department of Plastic and Rubber Technology at the
University of Calcutta from 1993 to 1995. His research interest includes
intelligent instrumentation, fuzzy control and system identification.