Sliding lattice design for discrete-time linear multivariable systems

Sliding mode control of discrete-time systems has not been developed as much as its continuous counterpart. The sliding mode control of multivariable discrete-time systems is studied in this paper. The concept of the discrete-time sliding mode is clarified and new sufficient conditions for the existence of the sliding mode are presented. A new method of control design using discrete sliding mode properties is proposed and the robust stability of the sliding mode dynamics is presented. The problem of stabilization of discrete-time systems is studied.