Dynamic Feedback Linearization of Control Systems with Symmetry

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• ISSN: 1815-0659
• Hauptverfasser: Clelland, Jeanne N., Klotz, Taylor J., Vassiliou, Peter J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212249
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Dynamic Feedback Linearization of Control Systems with Symmetry. Jeanne N. Clelland, Taylor J. Klotz and Peter J. Vassiliou. SIGMA 20 (2024), 058, 49 pages

Control systems of interest are often invariant under Lie groups of transformations. For such control systems, a geometric framework based on Lie symmetry is formulated, and from this, a sufficient condition for dynamic feedback linearizability is obtained. Additionally, a systematic procedure for o...