On an implicit triangular decomposition of nonlinear control systems that are 1-flat -- a constructive approach

DOI10.1016/j.automatica.2014.04.007zbMath1296.93039arXiv1209.2306OpenAlexW2109978395MaRDI QIDQ458865

Kurt Schlacher, Markus Schöberl

Publication date: 8 October 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2306

zbMATH Keywords

normal formsnonlinear control systemsdifferential geometryPfaffian systemsdifferential flatness

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Geometric methods (93B27) Canonical structure (93B10) Transformations (93B17)

Related Items (9)

On Geometric Properties of Triangularizations for Nonlinear Control Systems ⋮ An exterior differential characterization of single-input local transverse feedback linearization ⋮ Differential-geometric decomposition of flat nonlinear discrete-time systems ⋮ An Algorithm for Local Transverse Feedback Linearization ⋮ Necessary and sufficient conditions for the linearisability of two-input systems by a two-dimensional endogenous dynamic feedback ⋮ Orbital decompositions of control systems and multivector fields ⋮ A structurally flat triangular form based on the extended chained form ⋮ A normal form for two-input forward-flat nonlinear discrete-time systems ⋮ Orbital decompositions and integrable pseudosymmetries of control systems

Cites Work

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• Sufficient Conditions for Dynamic State Feedback Linearization
• On dynamic feedback linearization of four-dimensional affine control systems with two inputs
• Configuration Flatness of Lagrangian Systems Underactuated by One Control
• A Lie-Backlund approach to equivalence and flatness of nonlinear systems
• A linear algebraic framework for dynamic feedback linearization
• Flatness and defect of non-linear systems: introductory theory and examples

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