Levant's Arbitrary-Order Exact Differentiator: A Lyapunov Approach

被引：111

作者：

Cruz-Zavala, Emmanuel ^{[1
]}

Moreno, Jaime A. ^{[2
]}

机构：

[1] Univ Guadalajara, Ctr Univ Ciencias Exactas & Ingn, Dept Comp Sci, Guadalajara 44430, Jalisco, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City 04510, DF, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 07期

关键词：

Nonlinear systems; observers; sliding mode control; RECURSIVE OBSERVER DESIGN; FINITE-TIME; HOMOGENEOUS APPROXIMATION; NONLINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TAC.2018.2874721

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a family of smooth explicit Lyapunov functions (LF) for Levant's differentiator, which is a discontinuous real-time robust and exact differentiator. These LF allow the analysis of the convergence and performance properties and the design of appropriate gains for the differentiator.

引用

页码：3034 / 3039

页数：6

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