A sliding mode variable structure control system with separable linear sub-system and researches of its discretization

The main object of this paper is to introduce a kind of sliding mode control law. Under the law we adopt a multivariable nonlinear system as the model, based on which the system is decomposed into two subsystems at first, one is linear and the other is nonlinear. Pole configuration theory can be applied to the linear part and a kind of sliding mode control law as the title indicated can be added to the nonlinear subsystem. Research into its simulation has been done in Chen et al. (2004), and the results indicate that applying this control law enhances the stability of some kinds of nonlinear system.