Boundary control systems with Yosida type approximate boundary observation

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. This model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0-semigroup and the model is observable. Moreover the model is shown to be approximately reachable provided that so is the nominal system with respect to an additional distributed input. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.

langue originaleAnglais
Pages (de - à)233-238
Nombre de pages6
journalIFAC Proceedings Volumes (IFAC-PapersOnline) CPDE 2013
Volume1
Numéro de publicationPART 1
Les DOIs
étatPublié - 2013

Empreinte digitale

Control systems
Differential equations
Costs

mots-clés

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    title = "Boundary control systems with Yosida type approximate boundary observation",
    abstract = "A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. This model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0-semigroup and the model is observable. Moreover the model is shown to be approximately reachable provided that so is the nominal system with respect to an additional distributed input. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.",
    keywords = "Boundary control, Boundary observation, Convection-diffusion-reaction system, Yosida approximation",
    author = "Dehaye, {J{\'e}r{\'e}my R.} and Winkin, {Joseph J.}",
    year = "2013",
    doi = "10.3182/20130925-3-FR-4043.00061",
    language = "English",
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    journal = "IFAC Proceedings Volumes (IFAC-PapersOnline) CPDE 2013",
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    Boundary control systems with Yosida type approximate boundary observation. / Dehaye, Jérémy R.; Winkin, Joseph J.

    Dans: IFAC Proceedings Volumes (IFAC-PapersOnline) CPDE 2013, Vol 1, Numéro PART 1, 2013, p. 233-238.

    Résultats de recherche: Contribution à un journal/une revueArticle

    TY - JOUR

    T1 - Boundary control systems with Yosida type approximate boundary observation

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    AB - A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. This model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0-semigroup and the model is observable. Moreover the model is shown to be approximately reachable provided that so is the nominal system with respect to an additional distributed input. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.

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    KW - Boundary observation

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    KW - Yosida approximation

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