Linear-quadratic optimal control of descriptor systems

In recent years the analysis and synthesis of (mechanical) control systems in descriptor form has been established. This general description of dynamical systems is important for many applications in mechanics and mechatronics, in electrical and electronic engineering, and in chemical engineering as well. This contribution deals with linear mechanical descriptor systems and its control design with respect to a quadratic performance criterion. Here, the notion of properness plays an important role whether the standard Riccati approach can be applied as usual or not. Properness and non-properness distinguish between the cases if the descriptor system is exclusively governed by the control input or by its higher-order time-derivatives additionally. In the unusual case of non-proper systems a quite different problem of optimal control design has to be considered. Both cases will be solved completely.

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Main Author: Müller,Peter C.
Format: Digital revista
Language:English
Published: The Brazilian Society of Mechanical Sciences 1999
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73861999000300005
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spelling oai:scielo:S0100-738619990003000052002-11-20Linear-quadratic optimal control of descriptor systemsMüller,Peter C. Descriptor Systems Mechanical Systems Linear-Quadratic Optimal Control Causality In recent years the analysis and synthesis of (mechanical) control systems in descriptor form has been established. This general description of dynamical systems is important for many applications in mechanics and mechatronics, in electrical and electronic engineering, and in chemical engineering as well. This contribution deals with linear mechanical descriptor systems and its control design with respect to a quadratic performance criterion. Here, the notion of properness plays an important role whether the standard Riccati approach can be applied as usual or not. Properness and non-properness distinguish between the cases if the descriptor system is exclusively governed by the control input or by its higher-order time-derivatives additionally. In the unusual case of non-proper systems a quite different problem of optimal control design has to be considered. Both cases will be solved completely.info:eu-repo/semantics/openAccessThe Brazilian Society of Mechanical SciencesJournal of the Brazilian Society of Mechanical Sciences v.21 n.3 19991999-09-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73861999000300005en10.1590/S0100-73861999000300005
institution SCIELO
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country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
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region America del Sur
libraryname SciELO
language English
format Digital
author Müller,Peter C.
spellingShingle Müller,Peter C.
Linear-quadratic optimal control of descriptor systems
author_facet Müller,Peter C.
author_sort Müller,Peter C.
title Linear-quadratic optimal control of descriptor systems
title_short Linear-quadratic optimal control of descriptor systems
title_full Linear-quadratic optimal control of descriptor systems
title_fullStr Linear-quadratic optimal control of descriptor systems
title_full_unstemmed Linear-quadratic optimal control of descriptor systems
title_sort linear-quadratic optimal control of descriptor systems
description In recent years the analysis and synthesis of (mechanical) control systems in descriptor form has been established. This general description of dynamical systems is important for many applications in mechanics and mechatronics, in electrical and electronic engineering, and in chemical engineering as well. This contribution deals with linear mechanical descriptor systems and its control design with respect to a quadratic performance criterion. Here, the notion of properness plays an important role whether the standard Riccati approach can be applied as usual or not. Properness and non-properness distinguish between the cases if the descriptor system is exclusively governed by the control input or by its higher-order time-derivatives additionally. In the unusual case of non-proper systems a quite different problem of optimal control design has to be considered. Both cases will be solved completely.
publisher The Brazilian Society of Mechanical Sciences
publishDate 1999
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73861999000300005
work_keys_str_mv AT mullerpeterc linearquadraticoptimalcontrolofdescriptorsystems
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