Main

See also [[Main/OptionSp|SP]], [[Main/OptionSphi|SPHI]], [[Main/OptionSplo|SPLO]]

## TAU - APMonitor Option

## Main.OptionTau History

Hide minor edits - Show changes to output

Changed lines 11-12 from:

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (TAU) adjusts the speed of response with

to:

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (''TAU'') adjusts the speed of response with

Changed line 15 from:

where ~~SPold~~ is the prior set point, ~~SPnew is the ~~new ~~set point, t is the time~~, ~~TAU~~ is the time~~ constant~~, ~~and SP_tr~~ is the resultant trajectory.

to:

where ''SP'_old_''' is the prior set point, ''SP'_new_''' is the new set point, ''t'' is the time, ''TAU'' is the time constant, and ''SP'_tr_''' is the resultant trajectory.

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{$SP_{tr} = (1-\exp{\left(-\frac{t}{TAU}\right)}) (SP_{new} - SP_{old}) + SP_{old}$}

to:

{$SP_{tr} = \left(1-\exp{\left(-\frac{t}{TAU}\right)}\right) (SP_{new} - SP_{old}) + SP_{old}$}

Changed lines 11-15 from:

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (TAU) adjusts the speed of response with~~ ~~SP_tr = (1-exp(-t~~/~~TAU)) (~~SPnew~~ - ~~SPold~~) + ~~SPold ~~where SPold is the prior set point, SPnew is the new set point, t is the time, TAU is the time constant, and SP_tr is the resultant trajectory.

to:

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (TAU) adjusts the speed of response with

{$SP_{tr} = (1-\exp{\left(-\frac{t}{TAU}\right)}) (SP_{new} - SP_{old}) + SP_{old}$}

where SPold is the prior set point, SPnew is the new set point, t is the time, TAU is the time constant, and SP_tr is the resultant trajectory.

{$SP_{tr} = (1-\exp{\left(-\frac{t}{TAU}\right)}) (SP_{new} - SP_{old}) + SP_{old}$}

where SPold is the prior set point, SPnew is the new set point, t is the time, TAU is the time constant, and SP_tr is the resultant trajectory.

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%width=50px%Attach:cv.png

to:

%width=50px%Attach:cv.png [[Main/DbsVariable|Local Options]] | %width=30px%Attach:apm.png [[Main/DbsGlobal|Global Options]]

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See also [[Main/OptionSp|SP]], [[Main/OptionSphi|SPHI]], [[Main/OptionSplo|SPLO]]

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(:title TAU - APMonitor Option:)

(:keywords TAU, Optimization, Estimation, Option, Configure, Default, Description:)

(:description Time constant for controlled variable response:)

%width=50px%Attach:cv.png

Type: Floating Point, Input

Default Value: 60.0

Description: Time constant for controlled variable response

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (TAU) adjusts the speed of response with SP_tr = (1-exp(-t/TAU)) (SPnew - SPold) + SPold where SPold is the prior set point, SPnew is the new set point, t is the time, TAU is the time constant, and SP_tr is the resultant trajectory.

(:keywords TAU, Optimization, Estimation, Option, Configure, Default, Description:)

(:description Time constant for controlled variable response:)

%width=50px%Attach:cv.png

Type: Floating Point, Input

Default Value: 60.0

Description: Time constant for controlled variable response

The time constant is a tuning parameter for the speed of response of a reference trajectory. When the set point is stepped to a new value, the time constant (TAU) adjusts the speed of response with SP_tr = (1-exp(-t/TAU)) (SPnew - SPold) + SPold where SPold is the prior set point, SPnew is the new set point, t is the time, TAU is the time constant, and SP_tr is the resultant trajectory.