On the descriptor variable observation of rectangular implicit representations, in the presence of column minimal indices blocks
| Autor: | Juan Carlos Martínez-García, Michel Malabre, Moises Bonilla |
|---|---|
| Přispěvatelé: | Departamento de Control Automático (CINVESTAV-IPN), Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN), UMI-LAFMIA CINVESTAV-CNRS, Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), Commande (Commande), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 0211 other engineering and technologies 02 engineering and technology Derivative Unobservable Fault detection and isolation [SPI.AUTO]Engineering Sciences [physics]/Automatic [SPI]Engineering Sciences [physics] 020901 industrial engineering & automation Control theory State observer [MATH]Mathematics [math] systems with internal switches Mathematics Applied Mathematics implicit rectangular linear systems Linear system 021107 urban & regional planning variable structure linear systems Variable (computer science) Control and Systems Engineering descriptor variable observation Minimum phase Algorithm adaptive structure detection |
| Zdroj: | IMA Journal of Mathematical Control and Information IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2017, ⟨10.1093/imamci/dnx020⟩ |
| ISSN: | 0265-0754 1471-6887 |
| DOI: | 10.1093/imamci/dnx020⟩ |
| Popis: | International audience; Recently, it has been shown that implicit rectangular descriptions can be successfully used for modelling and controlling broad classes of linear systems, including systems with internal switches (i.e., variable structure linear systems where the variation is driven by switching signals). This technique consists in finding first the degree-of-freedom, characterizing the internal variable structure, and then making it unobservable by means of an ideal proportional and derivative descriptor variable feedback. When the proportional and derivative feedback is approximated by a suitable proper controller, then the degree-of-freedom is only attenuated in an epsilon order (i.e., the degree of approximation). In this article, we propose two different ways for observing the descriptor variable for implicit rectangular systems, in the presence of column minimal indices blocks. The first one concerns a descriptor variable observer based on fault detection; an apparent failure signal characterizes the variation of structure, which observation is required to support the synthesis of a standard state observer (this approach is constrained to minimum phase systems, with respect to the output—degree-of-freedom transfer). The second method concerns a descriptor variable observer based on precise finite-time adaptive structure detection. |
| Databáze: | OpenAIRE |
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