On the geometric construction of a stabilizing time-invariant state feedback controller for the nonholonomic integrator

DOI10.1016/j.automatica.2021.110073zbMath1485.93462OpenAlexW4200146729MaRDI QIDQ2063837

Shen Zeng

Publication date: 3 January 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.110073

zbMATH Keywords

nonholonomic systemsstate feedback stabilizationdiscontinuous feedback control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Geometric methods (93B27) Asymptotic stability in control theory (93D20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Discontinuous control of the Brockett integrator
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• MORE ON q-HERMITE POLYNOMIALS
• Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls
• Speed-Gradient Control of the Brockett Integrator
• Construction of the attainability set of a brockett integrator
• Stabilization of Nonholonomic Systems Using Isospectral Flows

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