Consider a measurement system than includes a transducer whose parameters are no

Question

Consider a measurement system than includes a transducer whose parameters are not known. In order to compensate for the transducer dynamics it is necessary to estimate the dynamic parameter(s) for this device. A step input to the transducer yields the following response. Determine the transducers system parameters. Then write the transfer function of this system. [Hint: The step response is similar to that of a first order system].

I have found the response: y(t) = 2 - 2e^(-t/1.264).

I believe the system parameters are: Tau = 1.264 and the response equation. I am not sure if there are anymore.

I am not really sure how to write the transfer function for this system.

Any help would be great! (Oh and sorry for the crappy paint graph....)

Consider a measurement system than includes a transducer whose parameters are not known. In order to compensate for the transducer dynamics it is necessary to estimate the dynamic parameter(s) for this device. A step input to the transducer yields the following response. Determine the transducers system parameters. Then write the transfer function of this system. [Hint: The step response is similar to that of a first order system]. I have found the response: y(t) = 2 - 2e^(-t/1.264). I believe the system parameters are: Tau = 1.264 and the response equation. I am not sure if there are anymore. I am not really sure how to write the transfer function for this system. Any help would be great! (Oh and sorry for the crappy paint graph....)

Explanation / Answer

You have done it almost correctly

The format is okay

At t = 1 time constant the potential = 2*(1-/e) = 1.26

So if you see the time at 1.26 you will get the Tau

Fro mthe plot the Tau seem to be 0.5

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