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Cota espectral ultrarrápida para validación de estabilidad robusta en sistemas de control inciertos

Authors: Hernandez Morales, Eduardo;

Cota espectral ultrarrápida para validación de estabilidad robusta en sistemas de control inciertos

Abstract

Este artículo presenta una cota espectral algebraica para la validación de estabilidad robusta en sistemas lineales inciertos. La cota hdzme001d se basa en la parte hermítica de la matriz nominal del sistema y una desviación estructurada en norma, modulada por un parámetro de conservadurismo. A diferencia de métodos clásicos como las Desigualdades Matriciales Lineales (LMIs) o los enfoques por vértices, esta cota no requiere optimización y puede evaluarse en milisegundos. Simulaciones masivas confirman su validez en más del 99.99% de los casos, con desviación mínima. El método es aplicable a control embebido, redes acopladas, procesos químicos, sistemas energéticos y robótica distribuida. Esta versión en español revive y honra los resultados originales desarrollados en la tesis profesional presentada en el Instituto Tecnológico de Morelia en el año 2000.

Keywords

estabilidad robusta, cota espectral, incertidumbre estructurada, control embebido, validación rápida, matriz intervalo

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green