PI CONTROLLER DESIGN FOR TIME DELAY SYSTEMS USING DIFFERENT MODEL ORDER REDUCTION METHODS

Hilal İrgan, Nusret Tan
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Abstract

This study focuses on designing PI controllers for time-delay systems using various model order reduction techniques to reduce complexity. The stability boundary locus method was used to determine PI parameters that stabilizing reduced order models. After the PI parameters have been determined using the weighted geometric center method, the calculated controller parameters have been implemented in the original system. In this way, the efficiency of the controller design is effectively demonstrated through the reduction techniques. In addition, the study investigated the effectiveness of reduction methods with increasing time delay and adding an integrator to the system. The importance of these results is that they demonstrate the use of model order reduction techniques in the design of controllers for time-delay systems and reveal the advantages of these methods.
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使用不同模型阶数缩减方法设计时延系统的 pi 控制器
本研究的重点是利用各种模型阶次缩减技术设计时延系统的 PI 控制器,以降低复杂性。稳定边界定位法用于确定可稳定简化模型的 PI 参数。使用加权几何中心法确定 PI 参数后,将计算出的控制器参数应用于原始系统。这样,控制器设计的效率就通过还原技术得到了有效体现。此外,研究还考察了随着时间延迟的增加和在系统中添加积分器,还原方法的有效性。这些结果的重要性在于,它们证明了在时延系统的控制器设计中使用模型阶次缩减技术,并揭示了这些方法的优势。
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