An O(T2) boundary layer in sliding mode for sampled-data systems
An O(T2) boundary layer in sliding mode for sampled-data systems
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DOI：
10.1109/9.847728
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发表时间：
2000-03
期刊：
影响因子：
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通讯作者：
W. Su;S. Drakunov;Ü. Özgüner
中科院分区：
文献类型：
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作者：
W. Su;S. Drakunov;Ü. Özgüner
在采样数据系统中使用不连续的控制律(通常是符号函数)会在滑动流形附近产生抖振现象，从而产生厚度为O(T)的边界层，其中T是采样周期。然而，在离散时间滑模控制设计中，通过适当考虑采样现象，边界层厚度可以减小到O(T/sup 2/)。与连续时间变结构控制的不连续控制相比，离散时间滑模控制不需要是切换型的。
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/sup 2/). In contrast to discontinuous control for continuous-time VSS, the discrete-time sliding mode control need not be of switching type.