Comparativa de metodologías de análisis de identificabilidad estructural y observabilidad para modelos no lineales
DOI:
https://doi.org/10.17979/ja-cea.2025.46.12168Palabras clave:
Modelado e identificación, Identificación de sistemas no lineales, Observabilidad, Identificabilidad, Gramianos, Geometría diferencialResumen
La identificabilidad estructural y la observabilidad son propiedades que describen la posibilidad teórica de inferir los parámetros y el estado de un sistema dinámico. En este trabajo consideramos tres metodologías para el análisis de observabilidad e identificabilidad estructural local de modelos no lineales. Una de ellas, la Condición de Rango de Observabilidad, se basa en conceptos de geometría diferencial y puede llevarse a cabo de forma simbólica. Las otras dos son métodos numéricos que usan cálculo de trayectorias; se trata de los gramianos empíricos y el método basado en la matriz de sensibilidades. Los tres métodos cuentan con implementaciones en MATLAB. Mediante la aplicación de estas herramientas a un conjunto amplio de casos de estudio, determinamos sus ventajas e inconvenientes, y proporcionamos recomendaciones para su uso.
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Derechos de autor 2025 Dorin Alexandru Ionescu Leoca, Mahmoud Shams Falavarjani, Alejandro F. Villaverde
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
