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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Main Author: David Di Ruscio
Format: Article
Language:English
Published: Norwegian Society of Automatic Control 2012-04-01
Series:Modeling, Identification and Control
Subjects:
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.
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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