Modulating function-based fast convergent observer for the Coupled Tanks system

Bahia Hadj Ali; Ania Adil; Fazia Bedouhene

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arXiv · 2412.18471

Modulating function-based fast convergent observer for the Coupled Tanks system

Bahia Hadj Ali·Ania Adil·Fazia Bedouhene

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Abstract

In this research, we apply the observer approach introduced by Djennoune et al. \cite{djennoune2019modulating} to estimate water levels in a coupled tanks system. Central to this approach is the use of a remarkable modulating function-based transformation $T_n $, which employs a time/output-dependent coordinate transformation. This transformation converts the original system into a form where the effects of initial conditions are effectively nullified. The primary advantage of utilizing the $T_n $ transformation is its ability to achieve instantaneous convergence, ensuring both rapid and accurate state estimation. The observer's finite-time convergence is assured, with the estimation error remaining bounded within a finite period. Numerical simulations further validate the effectiveness of this method for the Coupled Tanks system, demonstrating the robustness of the $T_n $ transformation in practical applications.

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Bahia Hadj Ali, Ania Adil, Fazia Bedouhene. 2024-12-24. Modulating function-based fast convergent observer for the Coupled Tanks system. https://arxiv.org/abs/2412.18471

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