State estimation and H∞ sliding mode control for fuzzy descriptor systems

This paper is concerned with the problems of state estimation and sliding mode control for non-linear descriptor systems described by (TS) fuzzy models. In fact, using an appropriate fuzzy observer to estimate the system states, an integral sliding mode surface and an adaptive observer-based sliding mode controller will be designed to guarantee the closed-loop fuzzy descriptor system to be robustly stable with H∞ performances, insensitive to all admissible uncertainties and satisfies the reaching condition. The developed results are tested on a representative example to confirm the effectiveness of the theoretical developments.