DocumentCode
1123142
Title
Euler´s Discretization of Single Input Sliding-Mode Control Systems
Author
Galias, Zbigniew ; Xinghuo Yu
Volume
52
Issue
9
fYear
2007
Firstpage
1726
Lastpage
1730
Abstract
In this note, the dynamical behaviors of Euler´s discretization of the equivalent control based sliding-mode control (SMC) systems are studied. We show that if the discretized SMC system is asymptotically stable, then every trajectory converges to a period-2 cycle. Bounds for the steady states are derived, which allow one to estimate the maximum chattering amplitude for a given value of the time step. The analysis and results are verified with several computer simulations.
Keywords
asymptotic stability; discrete systems; variable structure systems; Euler discretization; asymptotic stability; chattering amplitude; equivalent control; single input sliding-mode control system; Amplitude estimation; Analytical models; Australia Council; Computer simulation; Control systems; Linear systems; Sliding mode control; State estimation; Steady-state; Switching frequency; Discretization; dynamical behaviors; equivalent control; sliding-mode control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.904289
Filename
4303223
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