Abstract:
In this work, we have presented a review of the main methods of high order of sliding mode control
and studied their performances in controlling nonlinear systems such as inverse pendulum, a robot arm
and the compressor. In order to reduce the chattering phenomenon, we have considered three methods:
- A method that replaces the function sign by a continuous approximation,
- A method based on the homogeneity theory of A. Levant,
- A method based on a combination of fuzzy logic and high order sliding mode.