This book mainly introduces some new design methods and ideas about sliding mode control, which are applied to the differential inclusion systems, nonlinear systems, discrete systems, chaotic systems and the delta operator sys-tems, etc. In particular, the effect of input nonlinearity is fully considered in analyzing and implementing a sliding mode control scheme. Incorporating some control algorithms, such as H∞ control, passive control, adaptive control and ge-neralized H2 control, etc, into sliding mode control extends the application range.