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Home : Support : Online Help : MapleSim : MapleSim Component Library : Signal Blocks : Controllers : PI

PI

Proportional-Integral controller

	Description
	The PI component models a proportional-integral controller. The proportional gain in this controller, $k$ , also affects the integral gain performance. The Signal Size parameter allows the block to operate on a vector of signals rather than a single signal.

	Equations
	$y = k (x + u)$ $\overset{&period;}{x} = \frac{u}{T}$

Variables

Name	Units	Description	Modelica ID
$x$		State of block	x

Connections

Name	Description	Modelica ID
$u$	Real input vector	u
$y$	Real output vector	y

Parameters

Name	Default	Units	Description	Modelica ID
Signal Size	$1$		Dimension of input and output signals	signalSize
k	$1$		Gain	k
T		$s$	Time Constant ( $0 < T$ )	T
Initial Values	NoInit		Type of initialization (SteadyState and InitialOutput are identical)	initType
$x_{0}$	$0$		Initial or guess value of state	x_start
$y_{0}$	$0$		Initial value of output	y_start

See Also

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