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TransferFunctionWithDeadTime

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TransferFunctionWithDeadTime

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Library

Signal\Transfer Functions

Implementations

ZOD

FOD

SOID

SOOD

SOUD

SOOLD

SOUDO

 

Use

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

Description - ZOD

This model describes a first zero process plus dead time determined by k and theta. The transfer function of this process is:

 

TransferFunction-ZOD

Interface - ZOD

Inputs

Description

input

 

Outputs

 

output

 

Parameters

 

k

theta

Proportional gain [].

Dead time [s].

Description - FOD

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

 

TransferFunction-FOD

 

Interface - FOD

Inputs

Description

input

 

Outputs

 

output

 

Initial Values

 

state_intitial

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

Parameters

 

k

tau

theta

Proportional gain [].

Process time constant [s].

Dead time [s].

Description - SOID

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

 

TransferFunction-SOI

Interface - SOID

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

theta

Proportional gain [].

Process time constant [s].

Dead Time [s].

Description - SOOD

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

 

TransferFunction-SOOD

Interface - SOOD

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

tau1

tau2

theta

Proportional gain [].

First process time constant [s].

Second process time constant [s].

Dead Time [s].

Description - SOUD

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

 

TransferFunction-SOUD

Interface - SOUD

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

theta

Proportional gain [].

Natural period of oscillation [s].

Damping factor []

Dead Time [s].

Description - SOOLD

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

 

TransferFunction-SOOLD

Interface - SOOLD

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

tau1

tau2

tauL

theta

Proportional gain [].

First process time constant [s].

Second process time constant [s].

Lead time constant [s].

Dead Time [s].

Description - SOUDO

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

 

TransferFunction-SOUDO

Interface - SOUDO

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

theta

Proportional gain [].

Natural frequency [rad/s].

Damping factor []

Dead Time [s].