Two-input control-affine systems linearizable via one-fold prolongation and their flatness

DOI10.1016/j.ejcon.2015.11.001zbMath1336.93083OpenAlexW2218251121MaRDI QIDQ285797

Florentina Nicolau, Witold Respondek

Publication date: 19 May 2016

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2015.11.001

zbMATH Keywords

linearizationnormal formsflatnessdifferential weightflat outputs

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Linearizations (93B18)

Related Items

On Geometric Properties of Triangularizations for Nonlinear Control Systems ⋮ Necessary and sufficient conditions for the linearisability of two-input systems by a two-dimensional endogenous dynamic feedback ⋮ Flatness of Multi-Input Control-Affine Systems Linearizable via One-Fold Prolongation ⋮ A structurally flat triangular form based on the extended chained form

Cites Work

• Analysis and control of nonlinear systems. A flatness-based approach
• Flatness of nonlinear control systems and exterior differential systems
• Flat outputs of two-input driftless control systems
• Sufficient Conditions for Dynamic State Feedback Linearization
• On dynamic feedback linearization of four-dimensional affine control systems with two inputs
• A new approach to dynamic feedback linearization control of an induction motor
• A Lie-Backlund approach to equivalence and flatness of nonlinear systems
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• Flatness of Multi-Input Control-Affine Systems Linearizable via One-Fold Prolongation
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