FB_CTRL_TRANSFERFUNCTION_1

FB_CTRL_TRANSFERFUNCTION_1 1:

This function block calculates a discrete transfer function with the first standard form illustrated below. The transfer function here can be of any order, n.

The coefficients for the following transfer functions are stored in the parameter arrays:

FB_CTRL_TRANSFERFUNCTION_1 2:

Description of the transfer behavior:

The transfer function above is calculated with the first standard form, after some transformations, in every sampling step.

FB_CTRL_TRANSFERFUNCTION_1 3:

The programmer must create the following arrays in the PLC if this function block is to be used:

ar_fNumeratorArray     :
ARRAY[0..nOrderOfTheTransferfunction] OF FLOAT;
ar_DenominatorArray    : ARRAY[0..nOrderOfTheTransferfunction]
OF FLOAT;
ar_stTransferfunction1Data : ARRAY[0..nOrderOfTheTransferfunction]
OF ST_CTRL_TRANSFERFUNCTION_1_DATA;

The coefficients b0 to bn are stored in the array ar_fNumeratorArray. This must be organized as follows:

ar_fNumeratorArray[
0 ]     := b0;
ar_fNumeratorArray[ 1 ]     := b1;
...
ar_fNumeratorArray[ n-1 ]   := bn-1;
ar_fNumeratorArray[ n ]     := bn;

The coefficients a0 to an are stored in the array ar_DenominatorArray. This must be organized as follows:

ar_DenominatorArray
[ 0 ]    := a0;
ar_DenominatorArray [ 1 ]    := a1;
...
ar_DenominatorArray [ n-1 ]  := an-1;
ar_DenomiantorArray [ n ]    := an;

The internal data required by the function block is stored in the array ar_stTransferfunction1Data. This data must never be modified from within the PLC program. This procedure is also illustrated in the sample program listed below.

VAR_INPUT

VAR_INPUT
    fIn         : FLOAT;
    fManValue       : FLOAT;
    eMode       : E_CTRL_MODE;
END_VAR

fIn : Input to the transfer function.

fManValue : Input whose value is present at the output in manual mode.

eMode : Input that specifies the block's operating mode.

VAR_OUTPUT

VAR_OUTPUT
 fOut        : FLOAT;
    eState      : E_CTRL_STATE;
    bError      : BOOL;
    eErrorId        : E_CTRL_ERRORCODES;
END_VAR

fOut : Output from the transfer function.

eState : State of the function block.

eErrorId : Supplies the error number when the bError output is set.

bError : Becomes TRUE, as soon as an error occurs.

VAR_IN_OUT

VAR_IN_OUT
    stParams        : ST_CTRL_TRANSFERFUNCTION_1_PARAMS;
END_VAR

stParams : Parameter structure of the function block. This consists of the following elements:

TYPE
ST_CTRL_TRANSFERFUNCTION_1_PARAMS:
STRUCT
    tTaskCycleTime        : TIME;      (* task
cycle time in seconds *)
    tCtrlCycleTime        : TIME := T#0ms; (*
controller cycle time *)
    nOrderOfTheTransferfunction   : USINT;
    pNumeratorArray_ADR       : POINTER TO FLOAT :=
0;
    nNumeratorArray_SIZEOF    : UINT;
    pDenominatorArray_ADR     : POINTER TO FLOAT :=
0;
    nDenomiantorArray_SIZEOF      : UINT;
    pTransferfunction1Data_ADR    : POINTER TO
ST_CTRL_TRANSFERFUNCTION_1_DATA;
    nTransferfunction1Data_SIZEOF : UINT;
END_TYPE

tTaskCycleTime : Cycle time with which the function block is called. If the function block is called in every cycle this corresponds to the task cycle time of the calling task.

tCtrlCycleTime : Cycle time with which the control loop is processed. This must be greater than or equal to the TaskCycleTime. The function block uses this input value to calculate internally whether the state and the output values have to be updated in the current cycle.

nOrderOfTheTransferfunction : Order of the transfer function [0... ]

pNumeratorArray_ADR : Address of the array with the numerator coefficients.

nNumeratorArray_SIZEOF : Size of the array with the numerator coefficients in bytes.

pDenominatorArray_ADR : Address of the array with the denominator coefficients.

nDenominatorArray_SIZEOF : Size of the array with the denominator coefficients in bytes.

pTransferfunction1Data_ADR : Address of the data array.

nTransferfunction1Data_SIZEOF : Size of the data array in bytes.

TYPE
ST_CTRL_TRANSFERFUNCTION_1_DATA:
STRUCT
    Interne Struktur. Auf diese darf nicht schreibend
zugegriffen werden.
END_STRUCT
END_TYPE

Sample:

PROGRAM PRG_TRANSFERFUNCTION_1_TEST
VAR CONSTANT
    nOrderOfTheTransferfunction : USINT := 2;
END_VAR
VAR
    ar_fNumeratorArray     :
ARRAY[0..nOrderOfTheTransferfunction] OF FLOAT;
    ar_DenominatorArray    :
ARRAY[0..nOrderOfTheTransferfunction] OF FLOAT;
    ar_stTransferfunction1Data :
ARRAY[0..nOrderOfTheTransferfunction] OF
ST_CTRL_TRANSFERFUNCTION_1_DATA;
    eMode     : E_CTRL_MODE;
    stParams      : ST_CTRL_TRANSFERFUNCTION_1_PARAMS;
    eErrorId      : E_CTRL_ERRORCODES;
    bError    : BOOL;
    fbTansferfunction : FB_CTRL_TRANSFERFUNCTION_1;
    bInit     : BOOL := TRUE;
    fIn       : FLOAT := 0;
    fOut      : FLOAT;
    b_0, b_1, b_2   : FLOAT;
    a_0,a_1,a_2     : FLOAT;
END_VAR
IF bInit
THEN
    (* set values in the local arrays *)
    ar_fNumeratorArray[0] := 1.24906304658218E-007;
    ar_fNumeratorArray[1] := 2.49812609316437E-007;
    ar_fNumeratorArray[2] := 1.24906304658218E-007;
    ar_DenominatorArray[0] := 0.998501124344101;
    ar_DenominatorArray[1] := -1.99850062471888;
    ar_DenominatorArray[2] := 1.0;
    (* set values in the parameter struct *)
    stParams.tTaskCycleTime        := T#2ms;
    stParams.tCtrlCycleTime        := T#2ms;
    stParams.nOrderOfTheTransferfunction   :=
nOrderOfTheTransferfunction;
    (* set the mode *)
    eMode := eCTRL_MODE_ACTIVE;
    bInit := FALSE;
END_IF
(* set the addresses *)
stParams.pNumeratorArray_ADR       := ADR(
ar_fNumeratorArray);
stParams.nNumeratorArray_SIZEOF    := SIZEOF(
ar_fNumeratorArray);
stParams.pDenominatorArray_ADR     := ADR( ar_DenominatorArray
);
stParams.nDenominatorArray_SIZEOF      := SIZEOF(
ar_DenominatorArray );
stParams.pTransferfunction1Data_ADR    := ADR(
ar_stTransferfunction2Data );
stParams.nTransferfunction1Data_SIZEOF := SIZEOF(
ar_stTransferfunction2Data );
(* call the function block *)
fbTansferfunction ( fIn       := fIn,
            eMode     := eMode,
            stParams  := stParams,
            fOut      => fOut,
            eErrorId  => eErrorId,
            bError    => bError
            );

Requirements

Development Environment

Target System

PLC libraries to include

TwinCAT v2.8

PC (i386)

TcControllerToolbox.lib

TwinCAT v2.9 from Build 947

BC

TcControllerToolbox.lb6

TwinCAT v2.9 from Build 956

BX

TcControllerToolbox.lbx