Simplex-type sliding-mode control for a class of linear discrete-time systems

In this paper, the stabilization problem for the multi-input linear discrete-time system by using simplex-type sliding-mode control (STSMC) is proposed. Firstly, the STSMC is introduced in this paper. Besides, the stabilization condition is also proposed. Finally, a simulation example is illustrated to demonstrate the validity and effectiveness of the proposed scheme.