A bound on the number of integrators needed to linearize a control system

DOI10.1016/0167-6911(96)00046-1zbMath0866.93019OpenAlexW2179274040WikidataQ127595049 ScholiaQ127595049MaRDI QIDQ671781

Dawn M. Tilbury, Willem M. Sluis

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(96)00046-1

zbMATH Keywords

nonlinear controlupper boundlinearizationdynamic feedbackPfaffian systemdynamic feedback linearizationchains of integrators

Mathematics Subject Classification ID

Linearizations (93B18)

Related Items (9)

A remark on nonlinear accessibility conditions and infinite prolongations. ⋮ Design of differentially flat planar space robots and their planning and control ⋮ A bound on the number of integrators needed to linearize a control system ⋮ A triangular canonical form for a class of 0-flat nonlinear systems ⋮ On sufficient conditions to keep differential flatness under the addition of new inputs ⋮ A constructive condition for dynamic feedback linearization ⋮ Linearization by prolongations: new bounds on the number of integrators ⋮ Differential flatness of two one-forms in arbitrary number of variables ⋮ On the linearizability of nonisothermal continuous stirred-tank reactors

Cites Work

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• A bound on the number of integrators needed to linearize a control system
• Dynamic decoupling for right-invertible nonlinear systems
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• A necessary condition for dynamic feedback linearization
• On dynamic feedback linearization
• Sufficient Conditions for Dynamic State Feedback Linearization
• The GS algorithm for exact linearization to Brunovsky normal form
• Flatness and defect of non-linear systems: introductory theory and examples
• Note on an approximate method for computing nonconservative generalized forces on finitely deformed finite elements

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