Design of FOPID Controller Using BBBC via ZN Tuning Approach: Simulation and Experimental Validation

ABSTRACT

In this paper, a new approach for the design of an optimal fractional-order (FO) proportional integral derivative (PID) controller is proposed. The proposed approach is based on modified Ziegler Nichols technique of tuning an FOPID controller and Big Bang Big Crunch algorithm which is a soft computing technique. The proposed approach is applied to a solar tracker system, a numerical example of an FO system and is also tested on a hardware set-up of the DC servo system. The results obtained for the solar tracking example are compared with other metaheuristic search techniques as well as analytical techniques from literature. Besides this, a thorough statistical analysis of the controller parameters and time response specifications for the solar tracking system is also done. Further, performance and robustness analysis of the system is also carried out. The results convey the efficiency and powerfulness of the proposed technique.

KEYWORDS:

• Big bang Big crunch
• Fractional-order system
• Integral square error
• Optimization
• Qube servo
• Sun tracking
• Soft computing

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Shivam Jain

Shivam Jain was born in India in 1994. He received the BE degree in electronics and instrumentation engineering from Birla Institute of Technology and Science, Pilani, Rajasthan, India in 2016 and MTech degree in electrical engineering with specialization in systems and control from Indian Institute of Technology, Roorkee, Uttarakhand, India in 2018. Currently, he is pursuing PhD in electrical engineering from IIT Roorkee, Uttarakhand, India. His research interests include model order reduction, robust controller design and their applications to fractional order systems, power systems and control systems.

Yogesh V. Hote

Yogesh Vijay Hote is an associate professor in the Department of Electrical Engineering at Indian Institute of Technology, Roorkee. He received BE degree in electrical engineering from Government College of Engineering, Amravati, Amravati University in 1998 and ME degree in electrical engineering with specialization in control systems from Government College of Engineering, Pune, Pune University in 2000. He also received PhD degree in instrumentation and control engineering, Faculty of Technology, University of Delhi, in 2009. His main fields of expertise include robust controller design, model order reduction techniques and their applications in load frequency control, dc-dc converters. Email: [email protected]