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.
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页数：8
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