Concept explainers
Assume ideal operational amplifiers in the circuit of Figure P5.50.
a. Show that the leftmost operational amplifier works as a subtracting amplifier. Namely,
b. Draw a block diagram of the system, with the subtracting amplifier represented with a summing junction, and the circuit of the rightmost operational amplifier with a transfer function in the forward path. Keep R as a variable.
c. Obtain the system’s closed-loop transfer function.
d. For a unit step input, obtain the value of R that will result in a settling time Ts= 1 msec.
e. Using the value of R calculated in Part d, make a sketch of the resulting unit step response.
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Control Systems Engineering
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