Finite/Fixed-Time Stabilization of Linear Systems With State Quantization

被引：0
|
作者：
Zhou, Yu [1 ]
Polyakov, Andrey [1 ]
Zheng, Gang [1 ]
机构：
[1] Ctr Inria Univ Lille, Inria, CNRS, F-59650 Villeneuve Dascq, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2025年 / 70卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Quantization (signal); Linear systems; Numerical stability; Vectors; Symmetric matrices; Convergence; State feedback; Asymptotic stability; Uncertainty; Sufficient conditions; Finite/fixed-time stabilization; homogeneous system; quantization; SECTOR BOUND APPROACH; SLIDING-MODE CONTROL; NONLINEAR-SYSTEMS; FEEDBACK STABILIZATION; MIMO SYSTEMS; STABILITY; INPUT; DESIGN; ROBUSTNESS;
D O I：
10.1109/TAC.2024.3473619
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 article develops a homogeneity-based approach to finite/fixed-time stabilization of a linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multiinput LTI system under state quantization is derived. It is shown that a homogeneous state feedback with a novel logarithmic-like quantizer design can guarantee finite/fixed-time stability of the closed-loop system, provided that the quantization is sufficiently dense. Theoretical results are supported with numerical simulations.
引用
收藏
页码：1921 / 1928
页数：8
相关论文
共 50 条
  • [1] Homogeneous Finite/Fixed-time Stabilization with Quantization
    Zhou, Yu
    Polyakov, Andrey
    Zheng, Gang
    Ping, Xubin
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023,
  • [2] Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems
    Polyakov, Andrey
    Orlov, Yury
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (04) : 2560 - 2567
  • [3] Fixed-time stabilization of general linear systems with input delay
    Zuo, Zongyu
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (08): : 4467 - 4477
  • [4] Fixed-Time Stabilization for a Class of Nonholonomic Systems With State Constraints
    Gao, Fangzheng
    Huang, Jiacai
    Wu, Yuqiang
    Liu, Zhen-Guo
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 544 - 548
  • [5] Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
    Polyakov, Andrey
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) : 2106 - U1
  • [6] Fixed-Time Input-to-State Stabilization of Discrete-Time Systems
    Mazenc, Frederic
    Malisoff, Michael
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2625 - 2630
  • [7] A Hybrid Observer for Fixed-Time State Estimation of Linear Systems
    Rios, Hector
    Teel, Andrew R.
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 5408 - 5413
  • [8] A hybrid fixed-time observer for state estimation of linear systems
    Rios, Hector
    Teel, Andrew R.
    AUTOMATICA, 2018, 87 : 103 - 112
  • [9] Homogeneity based finite/fixed-time observers for linear MIMO systems
    Zimenko, Konstantin
    Polyakov, Andrey
    Efimov, Denis
    Kremlev, Artem
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (15) : 8870 - 8889
  • [10] Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances
    Xiaoyang Liu
    Daniel W. C. Ho
    Qiang Song
    Jinde Cao
    Nonlinear Dynamics, 2017, 90 : 2057 - 2068
12345