An Adaptive Quasi-Sliding Mode Control for Nonlinear Discrete-Time System

In this paper, an adaptive quasi-sliding mode control algorithm is developed for a class of nonlinear discrete-time systems. This design is model-free, based directly on pseudo-partial-derivatives derived on-line from the input and output information of the system using an improved recursive projection type of identification algorithm. The proposed control is especially useful for nonlinear system with vaguely known dynamics. Theoretical analysis and simulation results show that the adaptive quasi-sliding mode control system is stable and convergent.