Numerical differentiation using high-gain observers

Author

Dabroom, Ahmed ; Khalil, Hassan K.

Author_Institution

Dept. of Electr. Eng., Michigan State Univ., East Lansing, MI, USA

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4790

Abstract

High-gain observers have been used in nonlinear control to estimate the derivatives of the output. In this paper, we study discrete-time implementation of high-gain observers and their use as numerical differentiators. We show that discretization using the bilinear transformation method gives results better than other discretization methods. We also show that many of the available numerical differentiators are special cases of the bilinear discrete-time equivalents of full-order or reduced-order high-gain observers

Keywords

differentiation; discrete time systems; nonlinear control systems; observers; state feedback; bilinear transformation method; discrete-time implementation; full-order observers; high-gain observers; nonlinear control; numerical differentiation; numerical differentiators; reduced-order observers; Control systems; Eigenvalues and eigenfunctions; Feedback control; Linear feedback control systems; Nonlinear filters; Nonlinear systems; Observers; Output feedback; Performance gain; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649776

Filename

649776