Prescribed-Time Input-to-State Stabilization of Normal Nonlinear Systems by Bounded Time-Varying Feedback

被引：0
|
作者：
Zhang, Kang-Kang [1 ]
Zhou, Bin [1 ]
Duan, Guang-Ren [1 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2022年 / 69卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Nonlinear systems; Asymptotic stability; Time-varying systems; Stability criteria; Uncertainty; Regulation; Eigenvalues and eigenfunctions; Normal nonlinear systems; prescribed-time input-to-state stabilization; input-to-state stability; time-varying feedback; bounded feedback; MULTIAGENT SYSTEMS; STABILITY; DESIGN;
D O I：
10.1109/TCSI.2022.3182884
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：
This paper studies the prescribed-time input-to-state stabilization problem of normal nonlinear systems. With the help of some key properties of a class of parametric Lyapunov equations, the prescribed-time input-to-state stabilization problem of normal nonlinear systems under matched uncertainties is studied. Some bounded time-varying controllers are proposed. It is shown that the closed-loop systems are prescribed-time input-to-state stable. Finally, the effectiveness of the established methods is illustrated by two physical systems.
引用
收藏
页码：3715 / 3725
页数：11
相关论文
共 50 条
  • [1] Prescribed-time stabilization of p-normal nonlinear systems by bounded time-varying feedback
    Zhang, Kang-Kang
    Zhou, Bin
    Hou, Mingzhe
    Duan, Guang-Ren
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (01) : 421 - 450
  • [2] Prescribed-Time Stabilization of a Class of Nonlinear Systems by Linear Time-Varying Feedback
    Zhou, Bin
    Shi, Yang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (12) : 6123 - 6130
  • [3] Prescribed-time stabilization of nonlinear systems with uncertainties/disturbances by improved time-varying feedback control
    Feng, Lichao
    Dai, Mengyuan
    Ji, Nan
    Zhang, Yingli
    Du, Liping
    [J]. AIMS MATHEMATICS, 2024, 9 (09): : 23859 - 23877
  • [4] Cascade/feedback interconnections of prescribed-time input-to-state stable systems ☆
    Krishnamurthy, Prashanth
    Khorrami, Farshad
    Tzes, Anthony
    [J]. SYSTEMS & CONTROL LETTERS, 2024, 190
  • [5] Prescribed-time Stabilization with Time-varying Output Constraints for Switched Nonlinear Systems
    Tian, Xiaoyi
    Li, Yichen
    Ma, Ruicheng
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2023, 21 (05) : 1538 - 1546
  • [6] Prescribed-time Stabilization with Time-varying Output Constraints for Switched Nonlinear Systems
    Xiaoyi Tian
    Yichen Li
    Ruicheng Ma
    [J]. International Journal of Control, Automation and Systems, 2023, 21 : 1538 - 1546
  • [7] Prescribed-time control of perturbed nonholonomic systems by time-varying feedback
    Zhou, Bin
    Zhang, Kang-Kang
    Jiang, Huaiyuan
    [J]. AUTOMATICA, 2023, 155
  • [8] Prescribed-time global stabilization for MIMO nonlinear systems with a linear time-varying control mechanism
    Zhang, Wenli
    Liu, Xiaoping
    Jing, Yuanwei
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, 34 (09) : 6237 - 6258
  • [9] Prescribed-time state-feedback stabilization of nonlinear systems with unmatched nonlinear terms
    Min, Huifang
    Wei, Zhicheng
    [J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2024, 46 (10) : 2013 - 2023
  • [10] Input-to-State Stability for Nonlinear Time-Varying Systems via Averaging
    D. Nešić
    A. R. Teel
    [J]. Mathematics of Control, Signals and Systems, 2001, 14 : 257 - 280
12345