Fractional Order Systems Identification Based on Subspace Method in Time-domain

机译：时域基于子空间方法的分数阶系统识别

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摘要

This paper focuses on the identi.cation of fractional commensurate order systems, which described in state space equation form. A novel identi.cation approach based on short memory principle of fractional differentiation and subspace method, which is from multivariable output error state space (MOESP) family, is proposed. By utilizing the Poisson moment functionals (PMF), the problem which the derivative of higher order of input and output signals should exist is avoided. Based on short memory principle of fractional differentiation, the basic input and output equation for identi.cation is reconstructed. The explicit functional relationship between coe.cient matrixes and fractional differential order is deduced. The numerical simulation validates the approach.

机译：本文重点讨论以状态空间方程形式描述的分数阶相对阶系统。提出了一种基于分数微分的短存储原理和子空间方法的多变量输出误差状态空间（MOESP）族识别方法。通过利用泊松矩函数（PMF），避免了应该存在输入和输出信号的高阶导数的问题。根据分数微分的短记忆原理，重构了识别的基本输入输出方程。推导了系数矩阵与分数阶微分方程之间的显式函数关系。数值模拟验证了该方法。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-7|共7页
会议地点 Nanjing(CN)
作者
Zeng Liao; Zhuting Zhu; Shu Liang; Cheng Peng; Yong Wang;
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作者单位

Department of Automation, University of Science and Technology ofChina, Hefei, China;

Department of Automation, University of Science and Technology ofChina, Hefei, China;

Department of Automation, University of Science and Technology ofChina, Hefei, China;

Department of Automation, University of Science and Technology ofChina, Hefei, China;

Department of Automation, University of Science and Technology of China, Hefei, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
subspace method; short memory principle; fractional order system; identification in time-domain.;

机译：子空间法；短记忆原理；分数阶系统；时域识别;

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1. Subspace Identification for Fractional Order Hammerstein Systems Based on Instrumental Variables [J] . Zeng Liao, Zhuting Zhu, Shu Liang, International Journal of Control, Automation, and Systems . 2012,第5期

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2. Subspace identification for fractional order Hammerstein systems based on instrumental variables [J] . Zeng Liao, Zhuting Zhu, Shu Liang, International Journal of Control, Automation and Systems . 2012,第5期

机译：基于工具变量的分数阶Hammerstein系统子空间识别
3. Analysis Of Subspace Identification Methods Based On The Estimation Of The System Matrices [J] . Nava Cabrera Raul, Alvarado Martinez Victor Manuel, Adam Medina Manuel Latin America Transactions, IEEE (Revista IEEE America Latina) . 2015,第4期

机译：基于系统矩阵估计的子空间识别方法分析
4. Fractional Order Systems Identification Based on Subspace Method in Time-domain [C] . Zeng Liao, Zhuting Zhu, Shu Liang, Symposium on fractional differentiation and its applications . 2012

机译：基于时域中子空间方法的分数阶系统识别
5. Fractional Order Identification Method and Control: Development of Control for Non-Minimum Phase Fractional Order System [D] . ?Alhomim, Majid Abdullah 2020

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6. Decentralized System Identification Using Stochastic Subspace Identification for Wireless Sensor Networks [O] . Soojin Cho, Jong-Woong Park, Sung-Han Sim 2015

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7. Continuous-Time Gray-Box Identification of Mechanical Systems Using Subspace-Based Identification Methods [O] . Olofsson, Björn, Sörnmo, Olof, Robertsson, Anders, 2014

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Fractional Order Systems Identification Based on Subspace Method in Time-domain

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