Filtro estimador por deconvolución y pseudoinversa: descripción e implementación recursiva.
DOI:
https://doi.org/10.13053/cys-18-4-1551Keywords:
Deconvolución, pseudoinversa de una matriz, funcional del error, filtro estimador recursivo, estabilidad de Lyapunov.Abstract
En este trabajo se presenta un filtro estimador con base al modelo matricial de deconvolución utilizando a la pseudoinversa como proceso de filtrado, con el cual es posible conocer la dinámica interna del modelo tipo caja negra con respuesta lineal, y con evolución invariante en el tiempo. Se presenta la descripción recursiva del filtro por deconvolución y pseudoinversa considerando: a) la convolución en diferencias finitas, b) el filtro por deconvolución y pseudoinversa , c) la descripción recursiva del funcional del error y d) las condiciones de estabilidad a cubrir por el estimador tomado en cuenta los criterios de Lyapunov. De manera ilustrativa, se presenta una simulación utilizando MatLab®.Downloads
Published
2014-12-31
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Report on PhD Thesis
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