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dc.contributor.author
Vallarella, Alexis Javier
dc.contributor.author
Haimovich, Hernan
dc.date.available
2020-01-09T15:34:17Z
dc.date.issued
2019-08
dc.identifier.citation
Vallarella, Alexis Javier; Haimovich, Hernan; State Measurement Error-to-State Stability Results Based on Approximate Discrete-Time Models; Institute of Electrical and Electronics Engineers; IEEE Transactions on Automatic Control; 64; 8; 8-2019; 3308-3315
dc.identifier.issn
0018-9286
dc.identifier.uri
http://hdl.handle.net/11336/94128
dc.description.abstract
Digital controller design for nonlinear systems may be complicated by the fact that an exact discrete-time plant model is not known. One existing approach employs approximate discrete-time models for stability analysis and control design and ensures different types of closed-loop stability properties based on the approximate model and on specific bounds on the mismatch between the exact and approximate models. Although existing conditions for practical stability exist, some of which consider the presence of process disturbances, input-to-state stability (ISS) with respect to state-measurement errors and based on approximate discrete-time models has not been addressed. In this paper, we thus extend existing results in two main directions: 1) we provide ISS-related results, where the input is the state measurement error; and 2) our results allow for some specific varying-sampling-rate scenarios. We provide conditions to ensure semiglobal practical ISS, even under some specific forms of varying sampling rate. These conditions employ Lyapunov-like functions. We illustrate the application of our results on numerical examples, where we show that a bounded state-measurement error can cause a semiglobal practically stable system to diverge.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Institute of Electrical and Electronics Engineers
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
APPROXIMATE MODELS
dc.subject
INPUT-TO-STATE STABILITY (ISS)
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MEASUREMENT ERRORS
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NONLINEAR SYSTEMS
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NONUNIFORM SAMPLING
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SAMPLED DATA
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Control Automático y Robótica
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Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
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Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
State Measurement Error-to-State Stability Results Based on Approximate Discrete-Time Models
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-17T14:56:06Z
dc.journal.volume
64
dc.journal.number
8
dc.journal.pagination
3308-3315
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Vallarella, Alexis Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
dc.description.fil
Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
dc.journal.title
IEEE Transactions on Automatic Control
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1109/TAC.2018.2874669
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://ieeexplore.ieee.org/document/8485740
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