Almost global attitude stabilisation of an underactuated axially symmetric 3-D pendulum

DOI10.1016/j.automatica.2021.110110zbMath1482.93475OpenAlexW4205387332MaRDI QIDQ2071957

Paolo Mason, Luca Greco

Publication date: 31 January 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.110110

zbMATH Keywords

stabilisationnonlinear control systemsattitude control3-D spherical pendulum

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Control of mechanical systems (70Q05) Exponential stability (93D23)

Cites Work

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• On the attitude stabilization of rigid spacecraft
• Global asymptotic stabilization of the attitude and the angular rates of an underactuated non-symmetric rigid body
• Stabilization of a 3D axially symmetric pendulum
• A novel approach to the attitude control of axisymmetric spacecraft
• Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques
• Nonlinear dynamics of the 3D pendulum
• Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
• Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping
• Asymptotic Smooth Stabilization of the Inverted 3-D Pendulum
• Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
• Invariant manifolds
• Invariant manifolds
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon