Block: PI



PIC




Inports


In

Control error input



Init

Initial value of output Out when enabled



Enable

Enable == 0: Deactivation of block; Out set to 0

Enable 0->1: Preload of integral part

Enable == 1: Activation of block






Outports


Out

Control value







Mask Parameters



Name

ID

Description




Kp

1

Proportional Factor




Ki

2

Integral Factor




initHandling

3

Determines what the signal provided on Init input is used for




ts_fact

4

Multiplication factor of base sampling time (in integer format)





Description:

PI controller:

G(s) = Kp + Ki/s

Preloading Integral
A rising edge at the Enable inport enables the controller and preloads the integral.
One may choose from two options how to preload the integral value:

Note: Each fixed point implementation uses the next higher integer data type for the integral value storage variable.

Transfer function (zero-order hold discretization method):
When the block is enabled, the PI controller realizes the following transfer function:

G (z) = Kp + KiTs --1---
                  z - 1

Developer note: The source code of block PILimit is used.

Implementations:
FiP8 8 Bit Fixed Point Implementation
FiP16 16 Bit Fixed Point Implementation
FiP32 32 Bit Fixed Point Implementation
Float32 32 Bit Floating Point Implementation
Float64 64 Bit Floating Point Implementation

Implementation: FiP8


8 Bit Fixed Point Implementation



Inports Data Type


In

int8



Init

int8



Enable

bool






Outports Data Type


Out

int8




Implementation: FiP16


16 Bit Fixed Point Implementation



Inports Data Type


In

int16



Init

int16



Enable

bool






Outports Data Type


Out

int16




Implementation: FiP32


32 Bit Fixed Point Implementation



Inports Data Type


In

int32



Init

int32



Enable

bool






Outports Data Type


Out

int32




Implementation: Float32


32 Bit Floating Point Implementation



Inports Data Type


In

float32



Init

float32



Enable

bool






Outports Data Type


Out

float32




Implementation: Float64


64 Bit Floating Point Implementation



Inports Data Type


In

float64



Init

float64



Enable

bool






Outports Data Type


Out

float64