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.

摘要

在本文中，提出了一种设计最佳分数阶 (FO) 比例积分微分 (PID) 控制器的新方法。所提出的方法基于改进的 Ziegler Nichols 调整 FOPID 控制器的技术和 Big Bang Big Crunch 算法，这是一种软计算技术。所提出的方法应用于太阳能跟踪器系统，这是一个 FO 系统的数值示例，并且还在直流伺服系统的硬件设置上进行了测试。将太阳跟踪示例获得的结果与其他元启发式搜索技术以及文献中的分析技术进行了比较。除此之外，还对太阳能跟踪系统的控制器参数和时间响应规范进行了彻底的统计分析。更远，还进行了系统的性能和鲁棒性分析。结果传达了所提出技术的效率和强大性。