Analysis of second order sliding mode algorithms in the frequency domain

Author

Boiko, I. ; Castellanos, M.I. ; Fridman, L.

Author_Institution

SNC-Lavalin, Calgary, Alta., Canada

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4575

Abstract

A frequency domain analysis of the second order sliding mode algorithms, particularly of the twisting algorithm is carried out with the use of the describing function and the locus of a perturbed relay system approach. It is shown that in the presence of an actuator, the transient process converges to a periodic motion. Parameters of this periodic motion are analyzed. A comparison of the periodic solutions in the systems with higher order sliding mode controllers and the oscillations that occur in classical sliding mode systems with actuators is done.

Keywords

actuators; frequency-domain analysis; relay control; relays; singularly perturbed systems; variable structure systems; actuator; frequency domain analysis; higher order sliding mode controllers; oscillations; periodic motion; perturbed relay system; relay control; second order sliding mode algorithms; sliding mode systems; transient process; twisting algorithm; Actuators; Algorithm design and analysis; Control systems; Filters; Frequency domain analysis; Motion analysis; Motion control; Relays; Samarium; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272278

Filename

1272278