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
  • [1] Modeling of discrete-time fractional-order state space systems using the balanced truncation method
    Stanislawski, Rafal
    Rydel, Marek
    Latawiec, Krzysztof J.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 3008 - 3020
  • [2] Balanced Truncation Model Order Reduction in Limited Frequency and Time Intervals for Discrete-Time Commensurate Fractional-Order Systems
    Rydel, Marek
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    SYMMETRY-BASEL, 2019, 11 (02):
  • [3] STABILITY ANALYSIS OF INTERCONNECTED DISCRETE-TIME FRACTIONAL-ORDER LTI STATE-SPACE SYSTEMS
    Grzymkowski, Lukasz
    Trofimowicz, Damian
    Stefanski, Tomasz P.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2020, 30 (04) : 649 - 658
  • [4] Grunwald-Letnikoy-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems
    Latawiec, Krzysztof J.
    Stanislawski, Rafal
    Lukaniszyn, Marian
    Rydel, Marek
    Szkuta, Boguslaw R.
    NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 74 - 83
  • [5] Chaotic Control in Fractional-Order Discrete-Time Systems
    Ouannas, Adel
    Grassi, Giuseppe
    Azar, Ahmad Taher
    Khennaouia, Amina Aicha
    Viet-Thanh Pham
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT SYSTEMS AND INFORMATICS 2019, 2020, 1058 : 207 - 217
  • [6] On Learning Discrete-Time Fractional-Order Dynamical Systems
    Chatterjee, Sarthak
    Pequito, Sergio
    2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 4335 - 4340
  • [7] Synchronization of Fractional-Order Discrete-Time Chaotic Systems
    Ouannas, Adel
    Grassi, Giuseppe
    Azar, Ahmad Taher
    Khennaouia, Amina-Aicha
    Viet-Thanh Pham
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT SYSTEMS AND INFORMATICS 2019, 2020, 1058 : 218 - 228
  • [8] On Fractional-Order Discrete-Time Reaction Diffusion Systems
    Almatroud, Othman Abdullah
    Hioual, Amel
    Ouannas, Adel
    Grassi, Giuseppe
    MATHEMATICS, 2023, 11 (11)
  • [9] Observability of Positive Fractional-Order Discrete-Time Systems
    Trzasko, Wojciech
    ADVANCES IN THE THEORY AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2013, 257 : 77 - 86
  • [10] Approximation of Fractional-Order Systems Using Balanced Truncation with Assured Steady-State Gain
    Duddeti, Bala Bhaskar
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2023, 42 (10) : 5893 - 5923
12345