Interval Observer Design for Discrete-Time Uncertain Takagi-Sugeno Fuzzy Systems

This paper proposes a novel interval observer design method for discrete-time Takagi-Sugeno fuzzy systems with parametric uncertainty. disturbances. and measurement noise. We present a new structure of interval observer with more design parameters, which can be used to broaden the application scope of interval observer design. For improving the accuracy of interval estimation, an L-infinity norm-based approach is used in the design of interval observer to attenuate the effect of the unknown disturbances, noise. and parametric uncertainty. Furthermore, the design conditions are formulated into a set of linear matrix inequalities, which can be efficiently solved. Numerical simulations are given to illustrate the effectiveness of the proposed method.