Exact Differentiation of Signals With Unbounded Higher Derivatives

Author

Levant, Arie ; Livne, Miki

Author_Institution

Sch. of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel

Volume

57

Issue

4

fYear

2012

fDate

4/1/2012 12:00:00 AM

Firstpage

1076

Lastpage

1080

Abstract

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.

Keywords

asymptotic stability; differentiation; discrete systems; estimation theory; robust control; signal sampling; variable structure systems; arbitrary-order homogeneous differentiators; asymptotic accuracy; computer simulation; discrete sampling; exact signal differentiation; functional bound; global observation; high-order sliding modes; modified differentiators; robust kth-order signal differentiation; system states; unbounded dynamics; unbounded higher derivatives; Accuracy; Convergence; Noise; Noise measurement; Real-time systems; Robustness; Trajectory; High-order sliding mode; homogeneity; nonlinear observers; robustness;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2173424

Filename

6060865