## TAU - APMonitor Option

## Main.OptionTau History

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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

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

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.

where *SP _{old}* is the prior set point,

*SP*is the new set point,

_{new}*t*is the time,

*TAU*is the time constant, and

*SP*is the resultant trajectory.

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

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

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.

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.

(:title TAU - APMonitor Option:) (:keywords TAU, Optimization, Estimation, Option, Configure, Default, Description:) (:description Time constant for controlled variable response:)

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.