Chattering-Free Support Vector Regression Sliding Mode Control

According to an uncertain discrete system with input saturation, a new chattering free support vector regression sliding mode control (SVR-SMC) law based on Linear Matrix Inequalities (LMIs) is presented. The output of SVR is used for replacing sign function of the reaching law in traditional sliding mode control (SMC). An equivalent matrix is constructed for input saturation condition in the scheme. The feasibility and effectiveness of the SVR-SMC scheme are demonstrated via numerical examples. As a result, compared with conventional SMC, the SVR-SMC is able to achieve the desire transient response with input saturation. And there is no chattering in steady state while unmatched parameter uncertainty exists.