TY - GEN
T1 - Periodic behaviors of a discretized twisting algorithm based sliding mode control system
AU - Yan, Yan
AU - Yu, Xinghuo
AU - Sun, Changyin
PY - 2014
Y1 - 2014
N2 - In this paper, we show that Euler discretization of the sliding mode control system with twisting algorithm can lead to periodic behaviors. Bounds for periodic orbits are derived, which allow one to estimate the maximum chattering amplitude for a given value of the time step. It is shown that for certain parameter values, there exist arbitrarily long periodic orbits. Theoretical results are illustrated with simulation examples.
AB - In this paper, we show that Euler discretization of the sliding mode control system with twisting algorithm can lead to periodic behaviors. Bounds for periodic orbits are derived, which allow one to estimate the maximum chattering amplitude for a given value of the time step. It is shown that for certain parameter values, there exist arbitrarily long periodic orbits. Theoretical results are illustrated with simulation examples.
UR - https://www.scopus.com/pages/publications/84906815096
U2 - 10.1109/VSS.2014.6881116
DO - 10.1109/VSS.2014.6881116
M3 - 会议稿件
AN - SCOPUS:84906815096
SN - 9781479955664
T3 - Proceedings of IEEE Workshop on Applications of Computer Vision
BT - VSS 2014 - Proceedings of 13th International Workshop on Variable Structure Systems
PB - IEEE Computer Society
T2 - 13th International Workshop on Variable Structure Systems, VSS 2014
Y2 - 29 June 2014 through 2 July 2014
ER -