Model order reduction of commensurate linear discrete-time fractional-order systems

被引：12
|
作者：
Rydel, Marek [1 ]
Stanislawski, Rafal [1 ]
Latawiec, Krzysztof J. [1 ]
Galek, Marcin [1 ]
机构：
[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Opole, Poland
来源：
IFAC PAPERSONLINE | 2018年 / 51卷 / 01期
关键词：
fractional-order system; commensurate-order; controllability and observability Gramians; model order reduction; balanced truncation approximation; COMPUTATION;
D O I：
10.1016/j.ifacol.2018.05.090
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents an approach to model order reduction of linear time-invariant discrete-time commensurate fractional-order state space systems by means of the Balanced Truncation Approximation and Singular Perturbation Approximation methods. Mathematical formulas for computation of controllability and observability Gramians for the fractional-order systems are derived. This enables an extension of classical SVD-originated model order reduction algorithms to model reduction of discrete-time fractional-order state space systems. Simulation experiment illustrates the efficiency of the introduced methodology. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：536 / 541
页数：6
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