Frequency Domain Input–Output Analysis of Sliding-Mode Observers

Author

Boiko, Igor ; Fridman, Leonid

Author_Institution

SNC-Lavalin, Calgary, Alta.

Volume

51

Issue

11

fYear

2006

Firstpage

1798

Lastpage

1803

Abstract

The sliding-mode (SM) observer dynamics are analyzed in the frequency domain. It is shown that the SM observer is essentially a relay feedback-feedforward system. It is feedback with respect to the measured variable of the system being observed, and the feedforward with respect to the control applied to the system being observed. Having noted this, the input-output properties of observer dynamics are analyzed with the use of the locus of a perturbed relay system (LPRS) method. The performance of the observer is assessed via the use of the frequency response techniques. An example of performance analysis of the observer dynamics in the frequency domain is given

Keywords

control system analysis; feedback; feedforward; frequency response; frequency-domain analysis; nonlinear control systems; observers; perturbation techniques; variable structure systems; frequency domain input-output analysis; frequency response technique; locus of a perturbed relay system; nonlinear observers; relay feedback-feedforward system; sliding-mode observer dynamics; Control systems; Feedback; Frequency domain analysis; Nonlinear dynamical systems; Observers; Relays; Samarium; Servomechanisms; Sliding mode control; State estimation; Frequency domain; nonlinear observers; sliding modes (SMs);

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.884995

Filename

4012316