About: Estimation of Consistent Parameter Sets for Continuous-time Nonlinear Systems Using Occupation Measures and LMI Relaxations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Obtaining initial conditions and parameterizations leading to a model consistent with available measurements or safety specifications is important for many applications. Examples include model (in-)validation, prediction, fault diagnosis, and controller design. We present an approach to determine inner- and outer-approximations of the set containing all consistent initial conditions/parameterizations for nonlinear (polynomial) continuous-time systems. These approximations are found by occupation measures that encode the system dynamics and measurements, and give rise to an infinitedimensional linear program. We exploit the flexibility and linearity of the decision problem to incorporate unknown-butbounded and pointwise-in-time state and output constraints, a feature which was not addressed in previous works. The infinitedimensional linear program is relaxed by a hierarchy of LMI problems that provide certificates in case no consistent initial condition/parameterization exists. Furthermore, the applied LMI relaxation guarantees that the approximations converge (almost uniformly) to the true consistent set. We illustrate the approach with a biochemical reaction network involving unknown initial conditions and parameters. Obtaining initial conditions and parameterizations leading to a model consistent with available measurements or safety specifications is important for many applications. Examples include model (in-)validation, prediction, fault diagnosis, and controller design. We present an approach to determine inner- and outer-approximations of the set containing all consistent initial conditions/parameterizations for nonlinear (polynomial) continuous-time systems. These approximations are found by occupation measures that encode the system dynamics and measurements, and give rise to an infinitedimensional linear program. We exploit the flexibility and linearity of the decision problem to incorporate unknown-butbounded and pointwise-in-time state and output constraints, a feature which was not addressed in previous works. The infinitedimensional linear program is relaxed by a hierarchy of LMI problems that provide certificates in case no consistent initial condition/parameterization exists. Furthermore, the applied LMI relaxation guarantees that the approximations converge (almost uniformly) to the true consistent set. We illustrate the approach with a biochemical reaction network involving unknown initial conditions and parameters. (en)
Title	Estimation of Consistent Parameter Sets for Continuous-time Nonlinear Systems Using Occupation Measures and LMI Relaxations Estimation of Consistent Parameter Sets for Continuous-time Nonlinear Systems Using Occupation Measures and LMI Relaxations (en)
skos:prefLabel	Estimation of Consistent Parameter Sets for Continuous-time Nonlinear Systems Using Occupation Measures and LMI Relaxations Estimation of Consistent Parameter Sets for Continuous-time Nonlinear Systems Using Occupation Measures and LMI Relaxations (en)
skos:notation	RIV/68407700:21230/13:00211486!RIV15-GA0-21230___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA13-06894S)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Henrion, Didier
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	73265
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/13:00211486
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Polynomial systems; nonlinear systems; linear matrix inequalities (en)
http://linked.open.../riv/klicoveSlovo	Polynomial systems linear matrix inequalities nonlinear systems
http://linked.open...ontrolniKodProRIV	[3A582EF2E4F7]
http://linked.open...v/mistoKonaniAkce	Florence
http://linked.open...i/riv/mistoVydani	Piscataway
http://linked.open...i/riv/nazevZdroje	Proceedings of the 52nd IEEE Conference on Decision and Control
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Semidefinite programming for polynomial optimal control problems
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Henrion, Didier Findeisen, R. Rumschinski, P. Streif, S.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-12-10 (xsd:date)
issn	0191-2216
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1109/CDC.2013.6760898
http://purl.org/ne...btex#hasPublisher	IEEE
https://schema.org/isbn	978-1-4673-5717-3
http://localhost/t...ganizacniJednotka	21230

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