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An averaging approach to chattering
IEEE Transactions on Automatic Control
The singularly perturbed relay control systems (SPRCS) as mathematical models of chattering in the small neighborhood of the switching surface in sliding mode systems are examined. Sufficient conditions for existence and stability of fast periodic solutions to the SPRCS are found. It is shown that the slow motions in such SPRCS are approximately described by equations derived from equations for the slow variables of SPRCS by averaging along fast periodic motions. It is shown that in the generaldoi:10.1109/9.940930 fatcat:5tzojyioezfcvhsfktlnuyw7ze