Modeling of Discrete-Time Fractional-Order State Space Systems Using the Balanced Truncation Method

被引：3
|
作者：
Rydel, Marek [1 ]
Stanislawski, Rafal [1 ]
Bialic, Grzegorz [1 ]
Latawiec, Krzysztof J. [1 ]
机构：
[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Opole, Poland
来源：
THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS | 2016年 / 357卷
关键词：
IDENTIFICATION; APPROXIMATION;
D O I：
10.1007/978-3-319-23039-9_10
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 a new method of approximation of linear time-invariant (LTI) discrete-time fractional-order state space systems by means of the Balanced Truncation Method. This reduction method is applied to the rational form of fractional-order system in terms of expanded state equation. As an approximation result we obtain rational and relatively low-order state space system. Simulation experiments show very high accuracy of the introduced methodology.
引用
收藏
页码：119 / 127
页数：9
相关论文
共 50 条
  • [21] Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
  • [22] On gramians and balanced truncation of discrete-time bilinear systems
    Zhang, LQ
    Lam, J
    Huang, B
    Yang, GH
    INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (04) : 414 - 427
  • [23] Predictive control of linear fractional-order systems based on discrete-time fractional-order Laguerre filters
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    Rydel, Marek
    Lukaniszyn, Marian
    Galek, Marcin
    2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 110 - 113
  • [24] Synchronisation of integer-order and fractional-order discrete-time chaotic systems
    Adel Ouannas
    Amina-Aicha Khennaoui
    Okba Zehrour
    Samir Bendoukha
    Giuseppe Grassi
    Viet-Thanh Pham
    Pramana, 2019, 92
  • [25] Model order reduction of commensurate linear discrete-time fractional-order systems
    Rydel, Marek
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    Galek, Marcin
    IFAC PAPERSONLINE, 2018, 51 (01): : 536 - 541
  • [26] Synchronisation of integer-order and fractional-order discrete-time chaotic systems
    Ouannas, Adel
    Khennaoui, Amina-Aicha
    Zehrour, Okba
    Bendoukha, Samir
    Grassi, Giuseppe
    Viet-Thanh Pham
    PRAMANA-JOURNAL OF PHYSICS, 2019, 92 (04):
  • [27] Improvement of stability of zeros in discrete-time multivariable systems using fractional-order hold
    Liang, S
    Ishitobi, M
    Zhu, Q
    INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (17) : 1699 - 1711
  • [28] Robust Model Predictive Control for Discrete-time Fractional-order Systems
    Sopasakis, Pantelis
    Ntouskas, Sotirios
    Sarimveis, Haralambos
    2015 23RD MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2015, : 384 - 389
  • [29] Kalman filtering for discrete-time linear fractional-order singular systems
    Nosrati, Komeil
    Shafiee, Masoud
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (09): : 1254 - 1266
  • [30] LQ optimal control of fractional-order discrete-time uncertain systems
    Lu, Qinyun
    Zhu, Yuanguo
    CHAOS SOLITONS & FRACTALS, 2021, 147
12345