Recursive Averaging with Application to Bio-Inspired 3D Source Seeking
Optimization and Control
2022-03-23 v1 Dynamical Systems
Abstract
We analyze a class of high-amplitude, high-frequency oscillatory systems in which periodicity occurs on two distinct time scales and establish the convergence of its trajectories to a suitably averaged system by recursively applying the averaging theorem. Moreover, we introduce a novel bio-inspired 3D source seeking algorithm for rigid bodies with a collocated sensor and prove its practical stability under typical assumptions on the source signal strength field by combining our averaging results with singular perturbation.
Cite
@article{arxiv.2203.11928,
title = {Recursive Averaging with Application to Bio-Inspired 3D Source Seeking},
author = {Mahmoud Abdelgalil and Haithem Taha},
journal= {arXiv preprint arXiv:2203.11928},
year = {2022}
}