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 $y=k\left(x+u\right)$ $\stackrel{.}{x}=\frac{u}{T}$

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 $1$ $1$ Gain k T $s$ Time Constant ($0) 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