Abstract
We will propose a kind of new controller for the nonlinear singularly perturbed system with immeasurable states on the basis of the Fuzzy Singularly Perturbed Model (FSPM). An observer is designed to approximate the immeasurable tracking errors. Two-step approach and Schur theory are used to solve Bilinear Matrix Inequation(BMI) to achieve the gains of the controller and the observer. It can make the states of the plant to follow those of the stable reference model. Lyapunov constitute techniques can be used to prove the stability of the closed-loop systems. Finally the simulation is offered to illustrate the effectiveness of the proposed approach.
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