An LMI approach to design interval observers for discrete-time linear switched systems

Autor: Rabehi, Djahid, Meslem, Nacim, Ramdani, Nacim
Přispěvatelé: Ramdani, Nacim, Laboratoire pluridisciplinaire de recherche en ingénierie des systèmes, mécanique et énergétique (PRISME), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), GIPSA - Modelling and Optimal Decision for Uncertain Systems (GIPSA-MODUS), GIPSA Pôle Automatique et Diagnostic (GIPSA-PAD), Grenoble Images Parole Signal Automatique (GIPSA-lab), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Grenoble Images Parole Signal Automatique (GIPSA-lab), Université Grenoble Alpes (UGA)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Popis: This paper presents simple design methods of interval observers for discrete-time linear switched systems in the presence of output noise and system perturbation. The interval observers are designed using the internal positivity of the system without need to a coordinate transformation. This approach is proposed for arbitrary switching signals and it can be generalized to dwell-time switching rules. The observation gain that guarantees both stability and positivity of the interval estimate errors is synthesized by solving a Linear Matrix Inequality (LMI) feasibility problem. The theoretical result is supported by numerical simulations.
Databáze: OpenAIRE
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