Abstract
Concerning the chattering problem of Sliding Mode Variable Structure Control(SMVSC) for Delta operator system with uncertainties,a sliding mode variable structure controller based on Delta operator discrete method was designed.A modified discrete reaching law for Delta operator system was proposed based on arc tangent function.The system uncertainty was substituted with its least upper bound and greatest lower bound,and then the SMVSC law was designed.The simulation result illustrates the feasibility and validity of the proposed method,and shows it has a good complete robustness for the internal parameter perturbation and external disturbance.Therefore,the SMVSC system based on the proposed reaching law method can not only quickly reach the region of the switching plane in finite time,but also is stable in the equilibrium state.
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