On the convergence of the linear tracking differentiator for signals with KH-integrable derivatives

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Mathematics of Control Signals and Systems Pub Date : 2024-07-22 DOI:10.1007/s00498-024-00394-5

Salvador Sánchez-Perales, Juan Carlos Felipe-Figueroa, Silvia Reyes-Mora

引用次数: 0

Abstract

In this paper, the convergence proof of the second-order linear tracking differentiator, proposed by Han, is performed for signals with Kurzweil–Henstock integrable derivatives. Numerical simulations of some examples are also presented to validate the convergence of the tracking differentiator.

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论具有 KH 可积分导数的信号的线性跟踪微分器的收敛性

本文针对具有 Kurzweil-Henstock 可积分导数的信号，对 Han 提出的二阶线性跟踪微分器进行了收敛性证明。本文还给出了一些实例的数值模拟，以验证跟踪微分器的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics of Control Signals and Systems 工程技术-工程：电子与电气

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.