Title
Sliding Mode Control Design With A Class Of Piecewise Smooth Switching Surfaces
Abstract
In order to achieve more flexibility, a new design method is proposed to construct the switching surface of sliding mode control. We first prove that the available switching surface is not unique for the fixed reaching phase design. A new switching surface is developed by the combination of these available switching surfaces. Unlike typical sliding mode control design, the new switching surface is continuous, in other words, piecewise smooth. Furthermore, a method is provided to obtain the sliding motion on the non-smooth region of the switching surface, where a high-dimensional cross product is introduced to calculate the direction of the trajectories on the smooth half surfaces with respect to the non-smooth regions. Based on this method, we show that the sliding motion is still smooth on the non-smooth switching surface.
Year
DOI
Venue
2009
10.1504/IJMIC.2009.027216
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
Keywords
Field
DocType
sliding mode control, switching surface, Filippov solution, non-smooth analysis
Cross product,Control theory,Control engineering,Variable structure control,Piecewise,Mathematics,Sliding mode control
Journal
Volume
Issue
ISSN
7
3
1746-6172
Citations 
PageRank 
References 
1
0.43
7
Authors
4
Name
Order
Citations
PageRank
Yao Yu17822.67
Kai Zheng263.32
Kemao Ma383.00
Tielong Shen424340.52