Exact differentiator with varying gains

被引:23
作者
Moreno, Jaime A. [1 ]
机构
[1] UNAM, Inst Ingn Elect & Comp, Ciudad De Mexico, Mexico
关键词
Higher-order sliding modes; differentiators; Lyapunov methods; SLIDING-MODE OBSERVER; OUTPUT-FEEDBACK; LYAPUNOV FUNCTIONS; HOMOGENEITY; SYSTEMS; STABILIZATION;
D O I
10.1080/00207179.2017.1390262
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
When the nth derivative of a signal to be differentiated is bounded by a known constant, Levant's arbitrary-order differentiator provides, in the absence of noise, for an exact estimation of all derivatives up to order (n - 1) in finite time. Recently, Levant has shown that if the nth derivative is bounded by a known time-varying function, the same differentiator with a time-varying gain is also able to estimate in finite time all derivatives, if the initial condition of the differentiation error is sufficiently small. In this paper, we find, using a smooth Lyapunov function, under which conditions the same result is valid globally.
引用
收藏
页码:1983 / 1993
页数:11
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