Robust adaptive sliding mode tracking control for a rigid body based on Lie subgroups of \(\mathrm{SO}(3)\)

DOI10.3934/DCDSS.2022010zbMath1501.93030OpenAlexW4213369761MaRDI QIDQ2090459

Michael V. Basin, Zongyu Zuo, Yaobang Ye

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2022010

zbMATH Keywords

adaptive controlsliding modeattitude tracking\(\mathrm{SO}(3)\)Lie subgroups

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Adaptive control/observation systems (93C40) Variable structure systems (93B12) Discrete subgroups of Lie groups (22E40)

Cites Work

• Hybrid attitude tracking of rigid bodies without angular velocity measurement
• Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers
• Output regulation for systems on matrix Lie-groups
• Hybrid Certainty Equivalence Control of Rigid Bodies With Quaternion Measurements
• Controller Class for Rigid Body Tracking on $\mathsf {SO}(3)$
• An Almost Global Notion of Input-to-State Stability
• Almost-Global Tracking of Simple Mechanical Systems on a General Class of Lie Groups
• Quaternion-Based Hybrid Control for Robust Global Attitude Tracking
• PD+ Based Output Feedback Attitude Control of Rigid Bodies
• Rigid-Body Attitude Control

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