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  3. Superstabilización Impulsada Por Datos De Sistemas Lineales Bajo Cuantización
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  3. Superstabilización Impulsada Por Datos De Sistemas Lineales Bajo Cuantización

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Superstabilización impulsada por datos de sistemas lineales bajo cuantización

Jared Miller1,2, Jian Zheng2, Mario Sznaier2

  • 1J. Miller is with the Automatic Control Laboratory (IfA), Department of Information Technology and Electrical Engineering (D-ITET), ETH Zürich, Physikstrasse 3, 8092, Zürich, Switzerland.

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|September 2, 2025

Ver abstracta en PubMed

Resumen
Este resumen es generado por máquina.

Este estudio aborda la estabilización de sistemas lineales con datos cuantificados. Un nuevo enfoque de programación lineal garantiza la estabilidad del sistema a pesar de la cuantización del sensor y la entrada, lo que demuestra su eficacia en sistemas de ejemplo.

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Área de la Ciencia:

  • Ingeniería de sistemas de control
  • Teoría de la información
  • Matemáticas aplicadas

Sus antecedentes:

  • Los sistemas lineales son susceptibles a la degradación del rendimiento debido a la cuantización de los datos.
  • La cuantificación en los datos de transición de estado y las entradas de control plantea desafíos significativos para la estabilización del sistema.
  • Los métodos existentes a menudo luchan con la estabilización no conservadora bajo la cuantización.

Objetivo del estudio:

  • Desarrollar un método robusto para estabilizar sistemas lineales con datos de transición de estado cuantizados y entradas de control.
  • Formular un enfoque no conservador que tenga en cuenta la cuantización del sensor y las limitaciones de entrada.
  • Asegurar la superestabilización para todos los sistemas consistentes con los datos cuantificados observados.

Principales métodos:

  • Utilizando una caracterización de la estabilización cuantizada logarítmicamente basada en la robustez de la incertidumbre limitada por el sector.
  • Formulación de un programa lineal no conservador de dimensiones infinitas.
  • Resolviendo el problema a través de un par de programas lineales de escala exponencial.

Principales resultados:

  • El método propuesto hace cumplir con éxito la superestabilización para sistemas lineales cuantificados.
  • El programa lineal de dimensiones infinitas proporciona una solución no conservadora.
  • Eficacia demostrada en varios ejemplos de sistemas cuantificados.

Conclusiones:

  • La técnica de programación lineal desarrollada ofrece una herramienta poderosa para estabilizar sistemas cuantificados.
  • Este enfoque mejora la fiabilidad del sistema de control en presencia de incertidumbre de los datos.
  • El método avanza en el campo del control robusto para sistemas con componentes digitales.