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Synergistic potential functions from single modified trace function on SO(3) - MaRDI portal

Synergistic potential functions from single modified trace function on SO(3) (Q6175596)

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scientific article; zbMATH DE number 7716069

Language	Label	Description	Also known as
English	Synergistic potential functions from single modified trace function on SO(3)	scientific article; zbMATH DE number 7716069

Statements

scholarly article

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Synergistic potential functions from single modified trace function on SO(3) (English)

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Shing Shin Cheng

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publication date

24 July 2023

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full work available at URL

https://arxiv.org/abs/2303.15733

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zbMATH Keywords

synergistic potential functions

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Lyapunov function

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synergistic control

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MaRDI profile type

MaRDI publication profile

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Controller Class for Rigid Body Tracking on $\mathsf {SO}(3)$

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Hybrid global exponential stabilization on \(SO(3)\)

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Construction of Synergistic Potential Functions on SO(3) With Application to Velocity-Free Hybrid Attitude Stabilization

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A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

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Tracking for fully actuated mechanical systems: A geometric framework

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Hybrid Control for Robust and Global Tracking on Smooth Manifolds

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A globally asymptotically stabilizing trajectory tracking controller for fully actuated rigid bodies using landmark-based information

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Error analysis of Davenport's q method

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Rigid-Body Attitude Control

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Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization

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Hybrid dynamical systems

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Global finite-time attitude tracking via quaternion feedback

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Global Exponential Attitude Tracking Controls on <inline-formula> <tex-math notation="TeX">${\mathsf {SO}}({\mathsf 3})$</tex-math></inline-formula>

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An intrinsic PID controller for mechanical systems on Lie groups

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Almost-Global Tracking of Simple Mechanical Systems on a General Class of Lie Groups

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Quaternion-Based Hybrid Control for Robust Global Attitude Tracking

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Synergistic Hybrid Feedback for Global Rigid-Body Attitude Tracking on <formula formulatype="inline"><tex Notation="TeX">$\hbox{ SO }(3)^{\ast}$</tex></formula> <formula formulatype="inline"><tex Notation="TeX">${\ssr {SO}}(3)^{\ast}$</tex></formula>

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Robust Global Trajectory Tracking for Underactuated VTOL Aerial Vehicles Using Inner-Outer Loop Control Paradigms

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Hybrid Feedback Control

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Hybrid Certainty Equivalence Control of Rigid Bodies With Quaternion Measurements

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On the stability and stabilization of quaternion equilibria of rigid bodies

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On the Parametrization of the Three-Dimensional Rotation Group

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Inertial Vector Measurements Based Velocity-Free Attitude Stabilization

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Hybrid Feedback for Global Tracking on Matrix Lie Groups $SO(3)$ and $SE(3)$

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AUTOMATICA.2023.111070

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Sitelinks

Mathematics(1 entry)

mardi Publication:6175596

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