On convergence of nonlinear tracking differentiator based on finite-time stable system subject to stochastic noise

被引：2
|
作者：
Guo, Bao-Zhu [1 ,2 ,3 ]
Peng, Hao-Lan [1 ,2 ]
Wu, Ze-Hao [4 ]
机构：
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
[3] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
[4] Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
来源：
IFAC JOURNAL OF SYSTEMS AND CONTROL | 2023年 / 23卷
基金：
中国国家自然科学基金;
关键词：
Tracking differentiator; Finite -time stable; Tracking; Stochastic noise; LYAPUNOV FUNCTION; OBSERVER DESIGN; BOUNDED NOISE; STABILIZATION; SIGNAL;
D O I：
10.1016/j.ifacsc.2023.100215
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 consider convergence for a nonlinear tracking differentiator constructed from a finite-time stable system, where the input signal is corrupted by bounded stochastic noise. The existence of global weak solutions is firstly proved. It is shown that the nonlinear tracking differentiator tracks the input signal in the almost surely practical sense. With the same tuning parameter, the convergence accuracy is shown to be higher than that of the linear tracking differentiator. Some numerical simulations are performed to validate the effectiveness of the proposed differentiator.& COPY; 2023 Elsevier Ltd. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] Finite-Time Convergence Rates of Decentralized Markovian Stochastic Approximation
    Wang, Pengfei
    Zheng, Nenggan
    PROCEEDINGS OF THE THIRTY-THIRD INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE, IJCAI 2024, 2024, : 5082 - 5090
  • [22] Finite-time stabilization of stochastic nonlinear feedforward systems
    Zhang, Xinghui
    Zhang, Ancai
    Zhao, Feng
    Wang, Ying
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 977 - 982
  • [23] FINITE-TIME STABILIZATION FOR A CLASS OF STOCHASTIC NONLINEAR SYSTEMS
    Gao, Fangzheng
    Yuan, Fushun
    CONTROL AND INTELLIGENT SYSTEMS, 2013, 41 (02) : 71 - 77
  • [24] Finite-time stabilization for switched stochastic nonlinear systems
    Song, Zhibao
    Zhai, Junyong
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 2104 - 2108
  • [25] Finite-Time Fuzzy Control of Stochastic Nonlinear Systems
    Wang, Fang
    Chen, Bing
    Sun, Yumei
    Gao, Yanli
    Lin, Chong
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (06) : 2617 - 2626
  • [26] Finite-time stability and instability of stochastic nonlinear systems
    Yin, Juliang
    Khoo, Suiyang
    Man, Zhihong
    Yu, Xinghuo
    AUTOMATICA, 2011, 47 (12) : 2671 - 2677
  • [27] Finite-time stability theorem of stochastic nonlinear systems
    Chen, Weisheng
    Jiao, L. C.
    AUTOMATICA, 2010, 46 (12) : 2105 - 2108
  • [28] Adaptive practical finite-time H∞ tracking control for nonlinear stochastic Markov jump systems
    Zhang, Qingkang
    Zhang, Tianliang
    Zhang, Weihai
    NONLINEAR DYNAMICS, 2023, 111 (23) : 21765 - 21778
  • [29] Distributed finite-time tracking control for nonlinear multi-agent systems subject to external disturbances
    Zhang, Yanjiao
    Yang, Ying
    Zhao, Yu
    Wen, Guanghui
    INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (01) : 29 - 40
  • [30] Adaptive finite-time tracking control of nonlinear systems subject to input hysteresis and multiple objective constraints
    Zhao, Wei
    Han, Yu-Qun
    Zhou, Ya-Feng
    Zhu, Shan-Liang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, 34 (15) : 10292 - 10314
12345