Extension of a PID control theory to Lie groups applied to synchronising satellites and drones

DOI10.1049/iet-cta.2020.0226zbMath1542.93118MaRDI QIDQ6609023

Italo Cervigni, Claudio Menotta, Mattia Ippoliti, Simone Fiori

Publication date: 20 September 2024

Published in: IET Control Theory \& Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityadaptive controlLie groupsLie groupnonlinear control systemsLyapunov methodssynchronisationdronesphysical systemsnonlinear control problemcontrol system synthesissecond-order dynamical systemsthree-term controltime synchronisationdynamics-cancelling componentempirical translational synchronisation algorithmLie-group-tailored numerical techniquesPID control theoryprojected-PID controllersproportional-integral-derivative regulation principleresulting L-PID control schemesynchronising satellitestest such numerical schemeszero control error

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Applications of Lie groups to the sciences; explicit representations (22E70)

This page was built for publication: Extension of a PID control theory to Lie groups applied to synchronising satellites and drones