Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 45, Issue 3, Pages 482-485Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/9.847728
Keywords
boundary layer; discrete-time sliding mode; sampled-data systems
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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(T-2). 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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