A State-Dependent Boundary Layer Design for Sliding Mode Controller

The use of a boundary layer in sliding-mode control has been a common technique to reduce chattering of the control signal.However,different choices of the boundary layer width lead to conflicting effects,for instance,a large/small boundary layer width can more/less effectively alleviate the chattering phenomenon, or lead to less/more accurate control results.So,a design method of sliding mode controller is proposed based on state boundary layer,that is to adjust the width of boundary layer by state mode for an uncertain linear system.The simulation result showed that the proposed state-dependent boundary layer design can effectively eliminate chattering of signal meanwhile,ensure the control accuracy.