Mensaje de error

  • Deprecated function: The each() function is deprecated. This message will be suppressed on further calls en menu_set_active_trail() (línea 2394 de /home1/montes/public_html/drupal/includes/menu.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager() (línea 331 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_first() (línea 459 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_previous() (línea 489 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_last() (línea 564 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Deprecated function: The each() function is deprecated. This message will be suppressed on further calls en book_prev() (línea 775 de /home1/montes/public_html/drupal/modules/book/book.module).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Deprecated function: implode(): Passing glue string after array is deprecated. Swap the parameters en drupal_get_feeds() (línea 394 de /home1/montes/public_html/drupal/includes/common.inc).

Ejercicion 4 (Estabilidad, Criterio de Routh)

Solapas principales

Enunciado del ejercicio 4 del examen de la 1 semana de Febrero de 2009 de Regulacion Automatica I
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Solucion:

Vamos a ver la estabilidad del sistema y las donde estan las raices cuando el sistema es marginalmente estable cuya funcion de tranferencia en lazo abierto es:

Funcion de transferencia en lazo abierto, Transformada de Laplace


 

Este ejercicio se puede resolver de varias formas:

Ecuacion para obtener la estabilidad por el criterio de Routh


 

1 $3\cdot K$ 1
$K$ $2\cdot K$ 0

$\frac{K\cdot 3\cdot K -2\cdot K}{K}=3\cdot K-2$

1  

$\frac{2\cdot K\cdot (3\cdot K-2)-K}{3\cdot K-2}=\frac{6\cdot K^{2}-5\cdot K}{3\cdot K-2}$

0  
1    

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