DocumentCode
1256283
Title
Study of Periodic Solutions in Discretized Two-Dimensional Sliding-Mode Control Systems
Author
Galias, Zbigniew ; Yu, Xinghuo
Author_Institution
Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland
Volume
58
Issue
6
fYear
2011
fDate
6/1/2011 12:00:00 AM
Firstpage
381
Lastpage
385
Abstract
The existence of periodic solutions in discretized 2-D equivalent control-based sliding-mode control systems is studied. Admissibility conditions for the existence of periodic solutions with specific symbol sequences are derived, and admissibility regions for short periodic sequences are found. It is shown that, for certain parameter values, there exist arbitrarily long periodic orbits for arbitrarily small discretization steps. Theoretical results are illustrated with simulation examples.
Keywords
discrete systems; periodic control; variable structure systems; admissibility condition; admissibility region; discretized 2D equivalent control; discretized two-dimensional sliding-mode control system; parameter value; periodic orbit; periodic sequence; periodic solution; symbol sequence; Equations; Manifolds; Orbits; Sliding mode control; Switches; Trajectory; Chattering; discretization; periodic solutions; sliding-mode control (SMC);
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2011.2149710
Filename
5928392
Link To Document