An Optimal Fuzzy High-Gain Observer for an Uncertain Nonlinear System

This paper proposes an alternative optimal fuzzy high‐gain observer design scheme. The structure of the proposed observer is represented by the Takagi‐Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of a high‐gain observer and makes the observer robust against noisy measurements, uncertainties and parameter perturbation. The proposed observer adopts the H control technique and an adaptive projection algorithm. This technique results in a reduction of both the fuzzy approximation error and time‐varying disturbances. In addition, the proposed observer accomplishes a fast transient response and parameter convergence. Some simulation results are given to present the validity of the theoretical derivations and the performance of the proposed observer.