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A New Model Reduction Technique for the Design of Controller by Using Moment Matching Algorithm
IETE Technical Review ( IF 2.5 ) Pub Date : 2021-12-21 , DOI: 10.1080/02564602.2021.2012283
Arvind Kumar Prajapati 1 , Rajendra Prasad 2
Affiliation  

A new system abatement scheme is proposed for the abatement of the complexity of the large-scale continuous time dynamic plants. In this abatement technique, a generalized version of the standard pole clustering process is applied for the computation of reduced denominator coefficients of the abated model, and the coefficients of the abated numerator polynomial are calculated by using the improved Padé approximation method (IPAM). The generalized pole clustering algorithm (GPCA) ensures the retention of important characteristics of the large-scale systems such as stability and dominant poles in the abated system. The various performance error indices are computed to validate the proposed algorithm. The least performance error indices values indicate the superiority of the algorithm. The proposed scheme is implemented on several standard systems, and it is giving the least error indices values. After computing the abated model of the large-scale system, the transfer function of the abated system is used for the construction of PID and lead/lag compensators by applying a moment matching method. The controller constructed with the help of the abated model is applied to the actual higher-order plant, and it shows that the response of the closed-loop system of the actual model is completely overlapping with the response of the given reference plant. The proposed technique is compared with some standard and recent methods of reduced-order modeling. Further, the time responses are plotted and time-domain specifications are computed for showing the usefulness of the proposed scheme.



中文翻译:

一种基于矩匹配算法的控制器设计模型降阶新方法

为降低大规模连续时间动态对象的复杂性,提出了一种新的系统消减方案。在这种消减技术中,应用标准极点聚类过程的广义版本来计算消减模型的约化分母系数,并使用改进的 Padé 近似方法 (IPAM) 计算消减分子多项式的系数。广义极点聚类算法(GPCA)确保在减弱系统中保留大规模系统的重要特征,例如稳定性和主导极点。计算各种性能误差指标以验证所提出的算法。最小的性能误差指标值表明算法的优越性。拟议的方案在几个标准系统上实施,它给出了最少的错误指数值。在计算出大型系统的衰减模型后,通过应用矩匹配方法,衰减系统的传递函数被用于 PID 和超前/滞后补偿器的构建。将利用衰减模型构建的控制器应用于实际高阶对象,表明实际模型的闭环系统响应与给定参考对象的响应完全重叠。将所提出的技术与一些标准的和最新的降阶建模方法进行了比较。此外,绘制了时间响应并计算了时域规范,以显示所提出方案的实用性。衰减系统的传递函数通过应用力矩匹配方法用于 PID 和超前/滞后补偿器的构建。将利用衰减模型构建的控制器应用于实际高阶对象,结果表明实际模型的闭环系统响应与给定参考对象的响应完全重叠。将所提出的技术与一些标准的和最新的降阶建模方法进行了比较。此外,绘制了时间响应并计算了时域规范,以显示所提出方案的实用性。衰减系统的传递函数通过应用力矩匹配方法用于 PID 和超前/滞后补偿器的构建。将利用衰减模型构建的控制器应用于实际高阶对象,结果表明实际模型的闭环系统响应与给定参考对象的响应完全重叠。将所提出的技术与一些标准的和最新的降阶建模方法进行了比较。此外,绘制了时间响应并计算了时域规范,以显示所提出方案的实用性。将利用衰减模型构建的控制器应用于实际高阶对象,表明实际模型的闭环系统响应与给定参考对象的响应完全重叠。将所提出的技术与一些标准的和最新的降阶建模方法进行了比较。此外,绘制了时间响应并计算了时域规范,以显示所提出方案的实用性。将利用衰减模型构建的控制器应用于实际高阶对象,表明实际模型的闭环系统响应与给定参考对象的响应完全重叠。将所提出的技术与一些标准的和最新的降阶建模方法进行了比较。此外,绘制了时间响应并计算了时域规范,以显示所提出方案的实用性。

更新日期:2021-12-21
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