Observer synthesis for uncertain nonlinear systems. Application to waste-water treatment plants
Résumé
The paper proposes the observer synthesis for uncertain nonlinear systems affected by unknown inputs described by the multi-model formulation with unmeasurable decision variables. A proportional multi-integral observer is considered in order to estimate the state and the unknown inputs and minimize the influence of the model uncertainties. The stability analysis and the observer synthesis are expressed through linear matrix inequalities based on the Lyapunov method. The performances of the proposed observer synthesis method are highlighted through the application to a waste-water treatment plant model, which is an uncertain nonlinear system affected by unknown inputs.
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