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...
Auteurs principaux: | , , , , |
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Format: | Journal article |
Publié: |
Institute of Electrical and Electronics Engineers
2016
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_version_ | 1826299039187992576 |
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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. |
first_indexed | 2024-03-07T04:55:50Z |
format | Journal article |
id | oxford-uuid:d69337ab-ed9f-4ed7-adb5-755e8dd2b880 |
institution | University of Oxford |
last_indexed | 2024-03-07T04:55:50Z |
publishDate | 2016 |
publisher | Institute of Electrical and Electronics Engineers |
record_format | dspace |
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 |
work_keys_str_mv | AT valmorbidag nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach AT zaccarianl nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach AT tarbouriechs nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach AT queinneci nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach AT papachristodouloua nonlinearstaticstatefeedbackforsaturatedlinearplantsviaapolynomialapproach |