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Limited Integrator

Integrator with limited value

Modelica Standard Library

	Description
	The Limited Integrator (or Lim Integrator) component computes, element-wise, the integral of the input $u$ and then multiplies it by the gain, $k$ . If the output exceeds the specified upper or lower limit, the integration is stopped and is restarted when the input drives the integral away from the limit. The Signal Size parameter assigns the dimension of the input and output connectors.

	Equations
	${\overset{&period;}{y}}_{j} = {\begin{array}{c} k u_{j} & {out}_{\min} < y < {out}_{\max} \\ 0 & otherwise \end{array}$

Connections

Name	Description	Modelica ID
$u$	Real input vector	u
$y$	Real output vector	y
$reset$	Optional connector of reset signal	reset
$set$	Optional connector of set signal	set

Parameters

Name	Default	Units	Description	Modelica ID
Signal Size	$1$		Dimension of input and output signals	signalSize
k	$1$		Integrator gain	k
${out}_{\max}$	$1$		Upper limit of output	outMax
${out}_{\min}$	$- outMax$		Lower limit of output	outMin
use reset	$false$		True(checked) enables reset port	use_reset
use set	$false$		True(checked) enables port that sets reset value (when use reset is selected)	use_set
Strict	$false$		True (checked) means no event is generated when the output reaches a limit	strict
Initial Values	Initialization with initial states		Type of initialization	initType
Limits At Initial	$true$		True (checked) means limits are used during initialization	limitsAtInit
$y_{0}$	$0$		Initial or guess value of the output. This value must be within the limits	y_start

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

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