Feedback linearization of transverse dynamics for periodic orbits

DOI10.1016/0167-6911(94)00110-HzbMath0877.93024MaRDI QIDQ672691

Juan-Miguel Gracia

Publication date: 28 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

stabilizationNonlinear systemsPeriodic orbitsFeedback linearizationTransverse dynamics

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linearizations (93B18)

Related Items (12)

An exterior differential characterization of single-input local transverse feedback linearization ⋮ A remark on controlled Lagrangian approach ⋮ Robust orbital stabilization: A Floquet theory–based approach ⋮ An Algorithm for Local Transverse Feedback Linearization ⋮ Construction of control Lyapunov functions for damping stabilization of control affine systems ⋮ Map invariance and the state reconstruction problem for nonlinear discrete-time systems ⋮ Predictive path following control without terminal constraints ⋮ Feedback linearization of transverse dynamics for periodic orbits in \textbf{R}\(^{3}\) with points of transverse controllability loss ⋮ Path following using transverse feedback linearization: Application to a maglev positioning system ⋮ Output stabilization and maneuver regulation: a geometric approach ⋮ Discussion on: ``Attenuation of oscillations in Galerkin systems using center-manifold techniques ⋮ A path following problem for a class of non-holonomic control systems with noise

Cites Work

• Converse Lyapunov functions for exponentially stable periodic orbits
• Nonlinear control of a swinging pendulum
• A canonical expansion for nonlinear systems
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