Sliding Mode Observer Design for Discrete-time Nonlinear Uncertain Systems via Sliding Mode Prediction

Abstract

Based on a creative sliding mode prediction model, a novel sliding mode observer (SMO) design method for discrete-time nonlinear uncertain systems is presented in this paper. By combining feedback correction approach, the observer states can close to system states as exactly as possible, and chattering is eliminate simultaneously. Because of the employing of receding horizon optimization technique, the observer compensatory term can be optimized continuously and on-line. The proposed method guarantees the SMO is robustly stable. The satisfying properties of the SMO are verified by a numerical example.