A class of discrete variable structure systems

Author

Yu, Xinghuo ; Potts, Renfrey B.

Author_Institution

Dept. of Math. & Comput., Univ. Coll. of Central Queensland, Rockhampton, Qld., Australia

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1367

Abstract

A class of nth-order linear systems with a variable structure is discretized and analyzed in detail. The occurrence and structure of pseudo-sliding modes give insight into corresponding sliding modes for the continuous system, and enable the relation between system parameters and the step size to be explored. A discretization can be used which gives a mathematical model revealing details of the chattering along a surface. A sufficient condition on the step size and the system and switching parameters to ensure the existence of a pseudo-sliding mode is derived. The analysis is illustrated with a simulation study of second-order systems

Keywords

discrete systems; linear systems; variable structure systems; discrete variable structure systems; linear systems; pseudo-sliding modes; sufficient condition; Analytical models; Continuous time systems; Control systems; Frequency; Linear systems; Mathematical model; Mechanical systems; Robots; Robustness; Sampling methods; Sliding mode control; Sufficient conditions; Variable structure systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261623

Filename

261623