Constrained MPC for uncertain linear systems with ellipsoidal target sets
Robustly feasible invariant sets provide a way of identifying stabilizable regions for uncertain/time-varying linear systems with input constraints under fixed state feedback control laws. With the introduction of extra degrees of freedom in the form of perturbed control laws, these stabilizable reg...
Những tác giả chính: | , , |
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Định dạng: | Journal article |
Ngôn ngữ: | English |
Được phát hành: |
2001
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_version_ | 1826303999016435712 |
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author | Brooms, A Kouvaritakis, B Lee, Y |
author_facet | Brooms, A Kouvaritakis, B Lee, Y |
author_sort | Brooms, A |
collection | OXFORD |
description | Robustly feasible invariant sets provide a way of identifying stabilizable regions for uncertain/time-varying linear systems with input constraints under fixed state feedback control laws. With the introduction of extra degrees of freedom in the form of perturbed control laws, these stabilizable regions can be enlarged. This was done in Lee and Kouvaritakis (Automatica 36 (2000) 1497-1504) in conjunction with polyhedral invariant sets and the aim here is to extend this work using ellipsoidal target sets. We also extend the analysis to take into account both polytopic and unstructured bounded disturbances, as well as unstructured uncertainties. © Elsevier Science B.V. All rights reserved. |
first_indexed | 2024-03-07T06:11:12Z |
format | Journal article |
id | oxford-uuid:ef8dfa1e-9ff6-4ce6-9cce-a3aa3ffa33bf |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T06:11:12Z |
publishDate | 2001 |
record_format | dspace |
spelling | oxford-uuid:ef8dfa1e-9ff6-4ce6-9cce-a3aa3ffa33bf2022-03-27T11:41:07ZConstrained MPC for uncertain linear systems with ellipsoidal target setsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ef8dfa1e-9ff6-4ce6-9cce-a3aa3ffa33bfEnglishSymplectic Elements at Oxford2001Brooms, AKouvaritakis, BLee, YRobustly feasible invariant sets provide a way of identifying stabilizable regions for uncertain/time-varying linear systems with input constraints under fixed state feedback control laws. With the introduction of extra degrees of freedom in the form of perturbed control laws, these stabilizable regions can be enlarged. This was done in Lee and Kouvaritakis (Automatica 36 (2000) 1497-1504) in conjunction with polyhedral invariant sets and the aim here is to extend this work using ellipsoidal target sets. We also extend the analysis to take into account both polytopic and unstructured bounded disturbances, as well as unstructured uncertainties. © Elsevier Science B.V. All rights reserved. |
spellingShingle | Brooms, A Kouvaritakis, B Lee, Y Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title | Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title_full | Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title_fullStr | Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title_full_unstemmed | Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title_short | Constrained MPC for uncertain linear systems with ellipsoidal target sets |
title_sort | constrained mpc for uncertain linear systems with ellipsoidal target sets |
work_keys_str_mv | AT broomsa constrainedmpcforuncertainlinearsystemswithellipsoidaltargetsets AT kouvaritakisb constrainedmpcforuncertainlinearsystemswithellipsoidaltargetsets AT leey constrainedmpcforuncertainlinearsystemswithellipsoidaltargetsets |