Lyapunov Functions for Continuous and Discontinuous Differentiators

被引：48
|
作者：
Cruz-Zavala, Emmanuel [1 ]
Moreno, Jaime A. [2 ]
机构：
[1] Univ Guadalajara, Ctr Univ Ciencias Exactas & Ingn, Dept Ciencias Comp, Guadalajara, Jalisco, Mexico
[2] Univ Nacl Autonoma Mexico, Elect & Comp, Inst Ingn, Ciudad De Mexico, Mexico
来源：
IFAC PAPERSONLINE | 2016年 / 49卷 / 18期
关键词：
Observability and Observer Design; Lyapunov Stability Methods; Variable Structure Control and Sliding Mode; RECURSIVE OBSERVER DESIGN; OUTPUT-FEEDBACK; HOMOGENEOUS APPROXIMATION; ORDER; SYSTEMS;
D O I：
10.1016/j.ifacol.2016.10.241
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a (differentiable) signal it is an important task for many applications to estimate on line its derivatives. Some well known algorithms to solve this problem include the (continuous) high-gain observers and (discontinuous) Levants exact differentiators. In this work we present a family of homogeneous differentiators, encompassing these two algorithms, and we propose a unified smooth Lyapunov function, that allows a common framework to study their convergence and performance analysis. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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页码：660 / 665
页数：6
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