A Discrete Integral Sliding Mode Controller for I/O Nonlinear Hammerstein systems

Blocks oriented models are the most structure used to describe nonlinear systems. These models are composed with two blocks: the first is a nonlinear part and the second is a linear part. Hammerstein model is one of block oriented models. Recently, the design of sliding mode control (SMC) in discrete-time for nonlinear systems is done using this structure. However, SMC suffer from a major problem: the chattering phenomenon. So, this work proposes to synthesize an integral sliding function to control nonlinear systems using Input/Output (I/O) Hammerstein structure in order to remove the chattering phenoenon. The effenciency of the proposed DISMC in terms of chattering phenomenon minimisation was verified by a simulation example and results are given at the end of this paper.