In this note an Unknown Input Observer and a disturbance estimator are proposed for a class of distributed parameter systems. The 1D diffusion equation subject to an uncertain exogenous input is dealt with, and point-wise measurements are considered. The observer/estimator design is carried out by making reference to a finite dimensional modal decomposition of the solution. A combined state and output transformation is applied to the resulting finite dimensional approximation, yielding a special form for the transformed system that allows the implementation of a linear observer for reconstructing the system state and a sliding mode observer for reconstructing the unknown input. Numerical simulations show the applicability of the suggested approach to the considered class of PDEs.

Unknown Input Observer with sliding mode disturbance estimator for the Diffusion PDE

PISANO, ALESSANDRO;USAI, ELIO
2010

Abstract

In this note an Unknown Input Observer and a disturbance estimator are proposed for a class of distributed parameter systems. The 1D diffusion equation subject to an uncertain exogenous input is dealt with, and point-wise measurements are considered. The observer/estimator design is carried out by making reference to a finite dimensional modal decomposition of the solution. A combined state and output transformation is applied to the resulting finite dimensional approximation, yielding a special form for the transformed system that allows the implementation of a linear observer for reconstructing the system state and a sliding mode observer for reconstructing the unknown input. Numerical simulations show the applicability of the suggested approach to the considered class of PDEs.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/31298
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