Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems
A simple Linear Quadratic (LQ) optimal controller of velocity (incremental) form with approximately the same properties as a conventional PID controller of velocity form is presented, i.e. integral action. The proposed optimal controller is insensitive to slowly varying system and measurement trends...
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Format: | Article |
Language: | English |
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Norwegian Society of Automatic Control
2012-04-01
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Series: | Modeling, Identification and Control |
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Online Access: | http://www.mic-journal.no/PDF/2012/MIC-2012-2-1.pdf |
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author | David Di Ruscio |
author_facet | David Di Ruscio |
author_sort | David Di Ruscio |
collection | DOAJ |
description | A simple Linear Quadratic (LQ) optimal controller of velocity (incremental) form with approximately the same properties as a conventional PID controller of velocity form is presented, i.e. integral action. The proposed optimal controller is insensitive to slowly varying system and measurement trends and has the ability of stabilizing any linear dynamic system under weak assumptions such as the stabilizability of the system and the detectability of the system seen from the performance index. |
first_indexed | 2024-04-13T23:43:51Z |
format | Article |
id | doaj.art-d4ced68c191a437fb9529d5e9acdfcf1 |
institution | Directory Open Access Journal |
issn | 0332-7353 1890-1328 |
language | English |
last_indexed | 2024-04-13T23:43:51Z |
publishDate | 2012-04-01 |
publisher | Norwegian Society of Automatic Control |
record_format | Article |
series | Modeling, Identification and Control |
spelling | doaj.art-d4ced68c191a437fb9529d5e9acdfcf12022-12-22T02:24:25ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13282012-04-01332354410.4173/mic.2012.2.1Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systemsDavid Di RuscioA simple Linear Quadratic (LQ) optimal controller of velocity (incremental) form with approximately the same properties as a conventional PID controller of velocity form is presented, i.e. integral action. The proposed optimal controller is insensitive to slowly varying system and measurement trends and has the ability of stabilizing any linear dynamic system under weak assumptions such as the stabilizability of the system and the detectability of the system seen from the performance index.http://www.mic-journal.no/PDF/2012/MIC-2012-2-1.pdfControl TheoryClosed loopLinear Systems |
spellingShingle | David Di Ruscio Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems Modeling, Identification and Control Control Theory Closed loop Linear Systems |
title | Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems |
title_full | Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems |
title_fullStr | Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems |
title_full_unstemmed | Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems |
title_short | Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems |
title_sort | discrete lq optimal control with integral action a simple controller on incremental form for mimo systems |
topic | Control Theory Closed loop Linear Systems |
url | http://www.mic-journal.no/PDF/2012/MIC-2012-2-1.pdf |
work_keys_str_mv | AT daviddiruscio discretelqoptimalcontrolwithintegralactionasimplecontrolleronincrementalformformimosystems |