1. 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].
Since there is no overshoot in the step response, it is reasonable to assume that the system is of 1
st
order. For a second order system we need to determine two parameters.
1) Time constant and
2) Static sensitivity.
Since the response of the system is twice as much as the input at steady state (time > 4 sec), the
static gain is 2.
The time constant can be determined by locating 0.632*Step_value = 1.264 point on the response
plot and determining the time. Therefore the time constant is given
by, τ = 0.5
sec. The transfer
function of the system is then given by:
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2. An accelerometer has the following step response. What is the system order of the
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- Fall '08
- STAFF
- Low-pass filter, static sensitivity, Magnitude Plot
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