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The mapping and inverse mapping between the sliding surface vector and the LTI, MIMO systems output is proposed in this paper. The mapping relationship is invariant with the matched disturbances. It can be realized as a reduced order dynamic system and hence for system inversion. In particular for the square structure mapping, stability of the proposed inverse method depends on the transmission zeros.
Decision and Control, 2007 46th IEEE Conference on
Date of Conference: 12-14 Dec. 2007