A Central Synergistic Hybrid Approach for Global Exponential Stabilization on SO(3)

Soulaimane Berkane; Abdelkader Abdessameud; Abdelhamid Tayebi

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arXiv · 1510.03878

A Central Synergistic Hybrid Approach for Global Exponential Stabilization on SO(3)

Soulaimane Berkane·Abdelkader Abdessameud·Abdelhamid Tayebi

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Abstract

We propose a new central synergistic hybrid approach for global exponential stabilization on the Special Orthogonal group SO(3). We introduce a new switching concept relying on a central family of (possibly) non-differentiable potential functions that enjoy (as well as their gradients) the following properties: 1) being quadratic with respect to the Euclidean attitude distance, and 2) being synergistic with respect to the gradient's singular and/or critical points. The proposed approach is used to solve the attitude tracking problem, leading to global exponential stability results.

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Soulaimane Berkane, Abdelkader Abdessameud, Abdelhamid Tayebi. 2016-12-22. A Central Synergistic Hybrid Approach for Global Exponential Stabilization on SO(3). https://arxiv.org/abs/1510.03878

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