Observer design for discrete-time TS fuzzy systems with local nonlinearities

This paper presents a novel observer design approach for discrete-time nonlinear systems. The nonlinearities are handled on the one hand by a polytopic model and on the other hand with a slope-restricted condition. Using these two tools sufficient LMI conditions are developed for a new observer design technique. The obtained results are tested in simulation and on experimental data on an inverted pendulum on a cart.