Exact Differentiation of Signals With Unbounded Higher Derivatives

被引：102

作者：

Levant, Arie ^{[1
]}

Livne, Miki ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2012年 / 57卷 / 04期

关键词：

High-order sliding mode; homogeneity; nonlinear observers; robustness; OBSERVER;

D O I：

10.1109/TAC.2011.2173424

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Arbitrary-order homogeneous differentiators based on high-order sliding modes are generalized to ensure exact robust kth-order differentiation of signals with a given functional bound of the (k + 1)th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states with unbounded dynamics. Computer simulation demonstrates the applicability of the modified differentiators.

引用

页码：1076 / 1080

页数：5

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