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TransferFunction

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TransferFunction

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Library

Signal\Transfer Functions

Implementations

FO

FOL

FOLA

SOI

SOO

SOU

SOUO

SOOL

Use

Domains: Discrete, Continuous. Size: 1-D. Allowed in: Block Diagrams.

Description - FO

This model describes a first order process determined by k and tau. The transfer function of this process is:

 

TransferFunction-FO

Interface - FO

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state_initial

The initial value of the output.

Parameters

 

k

tau

Proportional gain [].

Process time constant [s].

Description - FOL

This model describes a first order process with lead time determined by the parameters k, tau and tauL. The transfer function of this process is:

 

TransferFunction-FOL

Interface - FOL

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state_initial

Internal state.

Parameters

 

k

tau

tauL

Proportional gain [].

Process time constant [s].

Lead time constant [s].

Description - FOLA

This model describes a first order process with lag determined by the parameters k, tau and tauL. The transfer function of this process is:

 

TransferFunction-FOLA

Interface - FOLA

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state_initial

Internal state.

Parameters

 

k

tau

tauL

Proportional gain [].

Process time constant [s].

Lag time constant [s].

Description - SOI

This model describes a second order process with integrator determined by the parameters k and tau. The transfer function of this process is:

 

TransferFunction-SOI

Interface - SOI

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state1_initial

state2_initial

Internal state.

The initial value of the output.

Parameters

 

k

tau

Proportional gain [].

Process time constant [s].

Description - SOO

This model describes an overdamped second order process determined by the parameters k, tau1 and tau2. The transfer function of this process is:

 

TransferFunction-SOO

Interface - SOO

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state1_initial

state2_initial

Internal state.

The initial value of the output.

Parameters

 

k

tau1

tau2

Proportional gain [].

First process time constant [s].

Second process time constant [s].

Description - SOU

This model describes an underdamped second order process, determined by the parameters k, tau and zeta. The transfer function of this process is:

 

TransferFunction-SOU

Interface - SOU

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state1_initial

state2_initial

Internal state.

The initial value of the output after the dead time has passed.

Parameters

 

k

tau

zeta

Proportional gain [].

Natural period of oscillation [s].

Damping factor [].

Description - SOUO

This model describes an underdamped second order process, determined by the parameters k, omega and zeta. The transfer function of this process is:

 

TransferFunction-SOUO

Interface - SOUO

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state1_initial

state2_initial

Internal state.

The initial value of the output after the dead time has passed.

Parameters

 

k

omega

zeta

Proportional gain [].

Natural frequency [rad/s].

Damping factor [].

Description - SOOL

This model describes an overdamped second order process with lead time determined by the parameters k, tau1, tau2 and tauL. The transfer function of this process is:

 

TransferFunction-SOOL

Interface - SOOL

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state1_initial

state2_initial

Internal state.

The initial value of the output.

Parameters

 

k

tau1

tau2

tauL

Proportional gain [].

First process time constant [s].

Second process time constant [s].

Lead time constant [s].