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Gramian-based uniform convergent observer for stable LTV systems with delayed measurements

  • In this work, an observer for a linear time-varying system with delayed measurements is developed. The delay is assumed to be unknown, bounded, and it can be time-varying with no restriction on its rate of change. The observer uses auxiliary signals related to the constructibility Gramian of the system and it contains nonlinearities that provide a uniform fixed-time convergence to a bounded region in the estimation error coordinates. This means that the convergence time can be bounded by a positive constant which is independent from the initial conditions and the initial time. This property is new for the addressed class of systems. The ultimate bound of the estimation error depends on the maximum difference between the nominal output and the delayed one, and not directly on the delay size or its time derivative. These properties are illustrated in a numerical simulation.

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Metadaten
Author: Juan G. Rueda-EscobedoORCiD, Rosane Ushirobira, Denis Efimov, Jaime A. Moreno
DOI:https://doi.org/10.1080/00207179.2019.1569256
ISSN:0020-7179
ISSN:1366-5820
Title of the source (English):International Journal of Control Volume
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2020
Volume/Year:93
Issue number:2
First Page:226
Last Page:237
Faculty/Chair:Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Regelungssysteme und Netzleittechnik
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