In this work, a novel model reduction method is proposed for transfer function models. The method is based on equating the ratio of the coefficients of the ‘s’, powers of ‘s’ in the numerator to the corresponding coefficients of the s, powers of ‘s’ in the denominator of the closed-loop transfer function of the higher order process to the closed-loop transfer function of the reduced order model with PI controlling settings. Using this method, a stable higher order process is reduced to a first-order plus time delay (FOPTD) model. The step response of the closed loop of the reduced order model is compared with the corresponding higher order process. The efficiency of the proposed method is shown for several examples and for the experimental temperature control process. By the proposed reduction method for higher order processes without zero, the reduced model time constant is simply written with the addition of the all time constants of the higher order process.

中文翻译：

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传递函数模型的简单模型简化技术

在这项工作中，为传递函数模型提出了一种新的模型约简方法。该方法基于将分子中 's' 的系数、's' 的幂与 s 的相应系数、闭环传递函数分母中的 's' 幂的比值相等。高阶过程到具有 PI 控制设置的降阶模型的闭环传递函数。使用这种方法，将稳定的高阶过程简化为一阶加时延 (FOPTD) 模型。将降阶模型的闭环阶跃响应与相应的高阶过程进行比较。几个例子和实验温度控制过程显示了所提出方法的效率。通过针对没有零的高阶过程提出的约简方法，