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...

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Những tác giả chính: Brooms, A, Kouvaritakis, B, Lee, Y
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: 2001
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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.
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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