Computer-controlled continuous-time variable structure control systems

This paper deals with the implementation problems by a digital computer for a well designed linear continuous-time variable structure control system. An upper bound of the sampling period is given by some calculations. If the chosen sampling period is smaller than this upper bound, the zero-order-hold of the VSS controller designed in a continuous-time system can still be used without any modification to stabilize its sampling data system. The so-called discrete-time weak-pseudo-sliding mode will take place along a prescribed sliding hyperplane. Finally, simulation results are presented to show the effectiveness of the decision of the upper bound.