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arXiv · 2203.16808

Singularly Perturbed Averaging with Application to Bio-Inspired 3D Source Seeking

Mahmoud Abdelgalil·Asmaa Eldesoukey·Haithem Taha
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Abstract

We analyze a class of singularly perturbed high-amplitude, high-frequency oscillatory systems that arises in extremum seeking applications. We provide explicit formulas for averaging and establish the convergence of the trajectories of this class of systems to the trajectories of a suitably averaged reduced order system by combining the higher order averaging theorem with singular perturbation techniques. Finally, we propose a novel bio-inspired 3D source seeking algorithm and establish its singular practical stability.

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Mahmoud Abdelgalil, Asmaa Eldesoukey, Haithem Taha. 2022-03-31. Singularly Perturbed Averaging with Application to Bio-Inspired 3D Source Seeking. https://arxiv.org/abs/2203.16808

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