Nonlinear static state feedback for saturated linear plants via a polynomial approach

The technical note revisits the local exponential stabilization and global asymptotic stabilization problems of saturated linear systems using nonlinear control laws. The proposed nonlinear control law has rational dependence on a parameter , which is computed by solving an implicit equation dependi...

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Auteurs principaux: Valmorbida, G, Zaccarian, L, Tarbouriech, S, Queinnec, I, Papachristodoulou, A
Format: Journal article
Publié: Institute of Electrical and Electronics Engineers 2016
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author Valmorbida, G
Zaccarian, L
Tarbouriech, S
Queinnec, I
Papachristodoulou, A
author_facet Valmorbida, G
Zaccarian, L
Tarbouriech, S
Queinnec, I
Papachristodoulou, A
author_sort Valmorbida, G
collection OXFORD
description The technical note revisits the local exponential stabilization and global asymptotic stabilization problems of saturated linear systems using nonlinear control laws. The proposed nonlinear control law has rational dependence on a parameter , which is computed by solving an implicit equation depending on the state. Constructive solutions are obtained, based on a sum-of-squares formulation of the proposed conditions.
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institution University of Oxford
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publisher Institute of Electrical and Electronics Engineers
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spelling oxford-uuid:d69337ab-ed9f-4ed7-adb5-755e8dd2b8802022-03-27T08:34:29ZNonlinear static state feedback for saturated linear plants via a polynomial approachJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d69337ab-ed9f-4ed7-adb5-755e8dd2b880Symplectic Elements at OxfordInstitute of Electrical and Electronics Engineers2016Valmorbida, GZaccarian, LTarbouriech, SQueinnec, IPapachristodoulou, AThe technical note revisits the local exponential stabilization and global asymptotic stabilization problems of saturated linear systems using nonlinear control laws. The proposed nonlinear control law has rational dependence on a parameter , which is computed by solving an implicit equation depending on the state. Constructive solutions are obtained, based on a sum-of-squares formulation of the proposed conditions.
spellingShingle Valmorbida, G
Zaccarian, L
Tarbouriech, S
Queinnec, I
Papachristodoulou, A
Nonlinear static state feedback for saturated linear plants via a polynomial approach
title Nonlinear static state feedback for saturated linear plants via a polynomial approach
title_full Nonlinear static state feedback for saturated linear plants via a polynomial approach
title_fullStr Nonlinear static state feedback for saturated linear plants via a polynomial approach
title_full_unstemmed Nonlinear static state feedback for saturated linear plants via a polynomial approach
title_short Nonlinear static state feedback for saturated linear plants via a polynomial approach
title_sort nonlinear static state feedback for saturated linear plants via a polynomial approach
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AT zaccarianl nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach
AT tarbouriechs nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach
AT queinneci nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach
AT papachristodouloua nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach