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Discrete time sliding mode controllers with relative degree one and two switching variables
Authors:Pawe? Latosiński  Andrzej Bartoszewicz
Institution:Institute of Automatic Control, ?ód? University of Technology 18/22 B. Stefanowskiego St., ?ód? 90–924, Poland
Abstract:In this paper, a new reaching law based sliding mode control strategy for discrete time systems is introduced. Contrary to most existing approaches, the new strategy uses a sliding variable with relative degree two. It is demonstrated that the new reaching law drives the sliding variable to a narrower quasi-sliding mode band than its relative degree one equivalent, while simultaneously ensuring the desired dynamic properties of the system. Furthermore, it is shown that the smaller quasi-sliding mode band width is reflected in reduced magnitude of all state variables in the sliding mode.
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