Discrete-Time Fuzzy Control System Design with State Observer

This paper addresses the fuzzy control problem for a class of discrete-time nonlinear systems with disturbance. In case not all the system states are available, state observer is proposed. Consequently, the whole system behavior can be attributed to a kind of the standard singularly perturbed form. The system design is based on the estimated values from the state observer. It is shown that the proposed fuzzy controller guarantees the output of the considered system follows the desired value while maintaining all signals involved in the system stable