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An O(T2) boundary layer in sliding mode for sampled-datasystems
Authors:Wu-Chung Su Drakunov   S.V. Ozguner   U.
Affiliation:Dept. of Electr. Eng., Nat. Chung-Hsing Univ., Taichung;
Abstract:The use of a discontinuous control law (typically, sign functions) in a sampled-data system will bring about chattering phenomenon in the vicinity of the sliding manifold, leading to a boundary layer with thickness O(T), where T is the sampling period. However, by proper consideration of the sampling phenomenon in the discrete-time sliding mode control design, the thickness of the boundary layer can be reduced to O(T2). In contrast to discontinuous control for continuous-time VSS, the discrete-time sliding mode control need not be of switching type
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