首页|On the convergence of tracking differentiator with multiple stochastic disturbances

On the convergence of tracking differentiator with multiple stochastic disturbances

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This paper investigates the convergence,noise-tolerance,and filtering performance of a tracking differentiator in the presence of multiple stochastic disturbances for the first time.We consider a general case wherein the input signal is corrupted by additive colored noise,and the tracking differentiator is disturbed by additive colored noise and white noise.The tracking differentiator is shown to track the input signal and its generalized derivatives in the mean square sense.Further,the almost sure convergence can be achieved when the stochastic noise affecting the input signal is vanishing.Herein,numerical simulations are performed to validate the theoretical results.

tracking differentiatorconvergencenoise-tolerancefiltering performancemultiple stochastic disturbances

Zehao WU、Huacheng ZHOU、Baozhu GUO、Feiqi DENG

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School of Mathematics and Big Data,Foshan University,Foshan 528000,China

School of Mathematics and Statistics,Central South University,Changsha 410075,China

Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

Systems Engineering Institute,South China University of Technology,Guangzhou 510640,China

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaScience and Technology Innovation Program of Hunan Province

6190308762173348121611410131213100862073144623330062022RC1188

2024

10.1007/s11432-022-3815-4

中国科学:信息科学(英文版)
中国科学院

中国科学:信息科学(英文版)

CSTPCDEI
影响因子：0.715
ISSN：1674-733X
年,卷(期)：2024.67(2)
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