Abstract

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.

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