Discrete-time homogeneity: Robustness and approximation

被引：4
作者：
Sanchez, Tonametl [1 ]
Efimov, Denis [1 ,2 ]
Polyakov, Andrey [1 ,2 ]
机构：
[1] Univ Lille, INRIA, CNRS, UMR 9189 CRIStAL, F-59000 Lille, France
[2] ITMO Univ, 49 Ave Kronverkskiy, St Petersburg 197101, Russia
来源：
AUTOMATICA | 2020年 / 122卷
关键词：
Nonlinear systems; Discrete-time systems; Lyapunov methods; Robustness; Homogeneous systems;
D O I：
10.1016/j.automatica.2020.109275
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we study robustness properties of discrete-time homogeneous systems. We also analyse stability and robustness properties of a more general class of nonlinear discrete-time systems that can be approximated by homogeneous ones. We apply the results to the investigation of stability properties of discretized continuous-time systems. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
[31]   Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws [J].
QingZheng Gao XueJun Xie Department of Physics and Information Engineering Jining University Qufu PRC School of Electrical Engineering and Automation Xuzhou Normal University Xuzhou PRC .
International Journal of Automation & Computing, 2010, (03) :381-388
[32]   On the Robustness Filter of the linear discrete-time systems controlled by the Internal Model Structure [J].
Othman, Chakra ;
Cheikh, I. B. ;
Bouzaouache, Hajer .
2016 4TH INTERNATIONAL CONFERENCE ON CONTROL ENGINEERING & INFORMATION TECHNOLOGY (CEIT), 2016,
[33]   Robustness of adaptive discrete-time LQG control for first-order systems [J].
Krolikowski, A. ;
Horla, D. .
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (01) :89-97
[34]   A Discrete-time Observer Based on the Polynomial Approximation of the Inverse Observability Map [J].
Germani, Alfredo ;
Manes, Costanzo .
EUROPEAN JOURNAL OF CONTROL, 2009, 15 (02) :143-156
[35]   Discrete-Time Estimation/Approximation-Avoidance Control With Prescribed Performance [J].
Bu, Xiangwei ;
Luo, Ruining ;
Lei, Humin .
IEEE JOURNAL ON MINIATURIZATION FOR AIR AND SPACE SYSTEMS, 2024, 5 (03) :175-181
[36]   Discrete-Time Generalized Policy Iteration ADP Algorithm With Approximation Errors [J].
Wei, Qinglai ;
Li, Benkai ;
Song, Ruizhuo .
2017 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (SSCI), 2017, :1636-1641
[37]   IQC-based robustness analysis of discrete-time linear time-varying systems [J].
Fry, J. Micah ;
Farhood, Mazen ;
Seiler, Peter .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (16) :3135-3157
[38]   Approximation of discrete-time systems with time-varying delay: Hankel norm criterion [J].
Gao, HJ ;
Lam, J ;
Wang, C .
SICE 2004 ANNUAL CONFERENCE, VOLS 1-3, 2004, :1227-1232
[39]   Discrete-Time Approximations of Fliess Operators [J].
Gray, W. Steven ;
Espinosa, Luis A. Duffaut ;
Ebrahimi-Fard, Kurusch .
2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, :2433-2439
[40]   Discrete-time versus hybrid systems [J].
Monaco, S ;
Normand-Cyrot, D ;
Califano, C .
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :5203-5208
12345