LMI-Based Robust Stability Analysis of Discrete-Time Fractional-Order Systems With Interval Uncertainties

被引：18

作者：

Zhu, Zhen ^{[1
,2
]}

Lu, Jun-Guo ^{[1
,2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2021年 / 68卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Uncertainty; Robust stability; Numerical stability; Circuit stability; Stability criteria; Mathematical model; Eigenvalues and eigenfunctions; Discrete-time; fractional-order system; robust stability; linear matrix inequality; matrix root-clustering; LINEAR-SYSTEMS; STABILIZATION; FRAMEWORK;

D O I：

10.1109/TCSI.2021.3053701

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Robust stability problem of discrete-time fractional-order systems (DTFOSs) with interval uncertainties is investigated in this paper. Firstly, a new theorem for matrix root-clustering in union-region is established. Based on this theorem, the stability regions of DTFOSs are described as the union-region of closed sub-regions, and sufficient conditions for stability of DTFOSs are presented. Then, new sufficient conditions for robust stability of DTFOSs with interval uncertainties are derived. All the results are obtained in terms of linear matrix inequalities (LMIs) which are more tractable than the existing ones. Finally, numerical examples are given to show that our results are valid and less conservative than the existing ones.

引用

页码：1671 / 1680

页数：10

共 50 条

[31] Robust stability of positive discrete-time linear systems of fractional order
Buslowicz, M.
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) : 567 - 572
[32] Robust stability conditions of fractional order discrete-time linear systems
Ruszewski, Andrzej
2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 543 - 547
[33] 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
[34] LMI-based Robust PI Unknown Input Observer Design for Discrete-time LPV Systems
de Oliveira, Matheus Senna
Pereira, Renan Lima
2019 IEEE 4TH COLOMBIAN CONFERENCE ON AUTOMATIC CONTROL (CCAC): AUTOMATIC CONTROL AS KEY SUPPORT OF INDUSTRIAL PRODUCTIVITY, 2019,
[35] Robust stability for fractional-order systems with structured and unstructured uncertainties
Jiao, Zhuang
Zhong, Yisheng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3258 - 3266
[36] Guaranteed Cost LMI-Based Fuzzy Controller Design for Discrete-Time Nonlinear Systems with Polytopic Uncertainties
Sofianos, N. A.
Kosmidou, O. I.
18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 1383 - 1388
[37] 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
[38] 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
[39] On Learning Discrete-Time Fractional-Order Dynamical Systems
Chatterjee, Sarthak
Pequito, Sergio
2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 4335 - 4340
[40] 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

← 1 2 3 4 5 →