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
fDate :
6/1/2011 12:00:00 AM
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);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2011.2149710
