Sliding Modes in Intersecting Switching Surfaces, Ii: Hysteresis
نویسنده
چکیده
When a ow, discontinuous across a switching surface, points \inward" so one cannot leave, it induces a unique ow within the surface, called the sliding mode. Uniqueness of sliding modes does not obtain in general when several such surfaces intersect, and models must be reened. Following our earlier papers, we investigate the consequences of such reene-ments. We show that a natural mechanism, to wit hysteresis, which has been extensively investigated for one switching surface, generically leads to a well-deened sliding mode in the intersection of two switching surfaces.
منابع مشابه
Sliding Modes in Intersecting Switching Surfaces, I: Blending
When a flow, discontinuous across a switching surface, points ‘inward’ so one cannot leave, it induces a unique flow within the surface, called the sliding mode. When several such surfaces intersect, one would seek a flow within the intersection, but some difficulties arise. We explore here the extent of the ambiguity involved in this situation and then show that for a certain form of ‘natural ...
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