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arXiv · 2212.01879

Dynamical observers for parabolic equations with spatial point measurements

Sérgio S. Rodrigues·Dagmawi A. Seifu
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Abstract

An exponential Luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. The result can be applied to the case where the output is given by state measurements taken at a finite number of spatial points, that is, to the case where our sensors are a finite number of delta distributions. The output injection operator is explicit and the derivation of the main result involves the decomposition of the state space into a direct sum of two oblique components depending on the set of sensors. Simulations are presented as an application to the Kuramoto--Sivashinsky models for flame propagation and fluid flow.

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Sérgio S. Rodrigues, Dagmawi A. Seifu. 2022-12-04. Dynamical observers for parabolic equations with spatial point measurements. https://arxiv.org/abs/2212.01879

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