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Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers

机译:广义平均离散时间分数控制器的多维缩放分析

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The dynamics of discrete-time fractional order control systems depends on the method used for implementing the fractional derivatives and integrals. A reliable numerical approach adopts the generalized mean of the continuous to discrete conversion. The extra freedom provided by the proposed method must be carefully optimized by the user. This paper investigates the use of multidimensional scaling for evaluating and visualizing the performance of generalized mean discrete-time fractional controllers. Two alternative performance indices are adopted for comparing the time and frequency responses of the controlled system when adopting different combinations of the parameters. Numerical experiments with a fractional PID and two linear plants demonstrate the feasibility of the method for comparing and visualizing multiple test cases. (C) 2020 Elsevier B.V. All rights reserved.
机译:离散时间分数控制系统的动态取决于用于实现分数衍生物和积分的方法。可靠的数值方法采用连续转换的普遍性平均值。必须由用户仔细优化所提出的方法提供的额外自由。本文研究了多维缩放的使用来评估和可视化广义平均离散时间分数控制器的性能。采用两个替代性能指标进行比较采用参数不同组合时控制系统的时间和频率响应。分数PID和两个线性植物的数值实验证明了用于比较和可视化多个测试用例的方法的可行性。 (c)2020 Elsevier B.v.保留所有权利。

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