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New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods

机译：使用模型顺序减少方法新实现离散时间分数级PI控制器

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摘要

The paper presents new results in implementation of a discrete-time fractional-order PI controller by use of computationally simple and accurate Model Order Reduction-based approximation of a fractional-order integrator. The main advantage of the introduced method is elimination of the steady-state control error, the feature outperforming other finite-length implementations of discrete-time fractional-order integrators. Simulation experiments confirm the effectiveness of the presented methodology, both in terms of high accuracy and computational effectiveness of the introduced approximation.

机译：本文通过使用基于计算简单和准确的模型顺序的基于分数阶积分器的近似来提出了新的结果。引入方法的主要优点是消除了稳态控制误差，该特征优于离散时间分数集成商的其他有限长度实现。仿真实验证实了所呈现的方法的有效性，无论是在引入近似的高精度和计算效果方面。

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来源
《Polish Control Conference》|2020年|xviii 837-1568 pages :|共11页
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作者
Rafa? Stanislawski; Marek Rydel; Krzysztof J. Latawiec;
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原文格式 PDF
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中图分类 TP273-532;
关键词
Fractional-order PID controller; Model order reduction; Discrete time system;

机译：分数级PID控制器;模型顺序减少;离散时间系统;

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1. An analytical method on the stabilization of fractional-order plants with one fractional-order term and interval uncertainties using fractional-order PI lambda D-mu controllers [J] . Gao Zhe Transactions of the Institute of Measurement and Control . 2018,第15期

机译：一种分析方法，用分数阶PI Lambda D-Mu控制器用一个分数阶期和间隔不确定性稳定分数级植物的分析方法
2. Improved model reduction and tuning of fractional-order PI~(lambda)D~(mu) controllers for analytical rule extraction with genetic programming [J] . Saptarshi Das, Indranil Pan, Shantanu Das, ISA Transactions . 2012,第2期

机译：改进的模型约简和分数阶PI〜（λ）D〜（mu）控制器的调整，用于通过遗传编程提取分析规则
3. Analytical method on stabilisation of fractional-order plants with interval uncertainties using fractional-order PI~λ D~μ controllers [J] . Gao Zhe International journal of systems science . 2019,第5a8期

机译：分数阶PI〜λD〜μ控制器稳定区间不确定分数阶植物的解析方法
4. New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods [C] . Rafa? Stanislawski, Marek Rydel, Krzysztof J. Latawiec Polish Control Conference . 2020

机译：使用模型顺序减少方法新实现离散时间分数级PI控制器
5. Dynamic tuning of PI-controllers based on model-free Reinforcement Learning methods. [D] . Abbasi Brujeni, Lena. 2010

机译：基于无模型强化学习方法的PI控制器的动态调整。
6. Optimal Digital Implementation of Fractional-Order Models in a Microcontroller [O] . Mariusz Matusiak, Marcin Bąkała, Rafał Wojciechowski 2020

机译：微控制器中的分数级模型的最佳数字实现
7. Implementation of Discrete-Time Fractional-Order Controllers based on LS Approximations [O] . Ramiro S. Barbosa, J. A. Tenreiro Machado 2006

机译：基于Ls近似的离散时间分数阶控制器的实现
8. Model and Controller Reduction Method for Robust Control Design [R] . Yue, M., Schlueter, R. 2004

机译：鲁棒控制设计的模型与控制器约简方法

New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods

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