On sampled data variable structure control systems

  • Jian-Xin Xu
  • Feng Zheng
  • Tong Heng Lee
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 247)


It is shown that the motion of sampled-data variable structure control systems can be divided into three phases, namely reaching phase, switching phase and chattering phase. The definitions of the three phases are given and the characteristics of the three phases are described. It is shown that in the reaching phase the switching function decreases monotonically, and in the switching phase the switching function stops decreasing but the magnitude of position error decreases monotonically, while in the chattering phase all variables stop decreasing and the chattering is dominated by the velocity. The bound or limit values of corresponding variables are given.


Slide Mode Control Switching Function High Order State Variable Structure Control Switching Surface 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Jian-Xin Xu
    • 1
  • Feng Zheng
    • 1
  • Tong Heng Lee
    • 1
  1. 1.Department of Electrical EngineeringNational University of SingaporeSingapore

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