In this work, a novel methodology for tuning fractional order controller, so-called fractional order pole placement (FOPP) is proposed. The proposed methodology extends classical (integer order) pole placement technique, using commensurable transfer functions for representing fractional order controllers and placing the fractional dominant poles within an extended stability region based on three terms fractional transfer functions. The designed fractional order controller can be digitally implemented by using the Oustaloup integer approximation of the fractional order dynamics with Hankel model reduction. The proposed FOPP is used to design fractional order controllers for a DC/DC buck converter. The experimental tests include comparisons between the proposed FOPP and other tuning methodologies for integer and fractional order controllers for the DC/DC buck converter that is subject to load, parametric, and load variations. Integral indices are computed to aid the assessment of the control strategies with respect to the robustness, performance specification compliance, and control effort. The results show that the proposed method outperforms the other approaches when occurs the variations.

在这项工作中，提出了一种用于调整分数阶控制器的新颖方法，即所谓的分数阶极点放置（FOPP）。所提出的方法扩展了经典（整数阶）极点放置技术，使用了可表示的传递函数来表示分数阶控制器，并基于三项分数传递函数将分数主导极点置于扩展的稳定性区域内。设计的分数阶控制器可以通过使用带有Hankel模型约简的分数阶动力学的Oustaloup整数逼近来数字实现。提出的FOPP用于设计DC / DC降压转换器的分数阶控制器。实验测试包括在拟议的FOPP与其他针对负载，参数和负载变化的DC / DC降压转换器的整数和小数阶控制器的调谐方法之间进行比较。计算综合指标以帮助评估有关鲁棒性，性能规格合规性和控制效果的控制策略。结果表明，该方法在出现变化时优于其他方法。