Question: A second-order system has a single zero: For a step input, show that: (a) y(t) can exhibit an extremum (maximum or minimum value) in the

A second-order system has a single zero:

K(ras + 1) X(s) (7as + 1)(725 +1) Y(s) (T1 > 12)

For a step input, show that:

(a) y(t) can exhibit an extremum (maximum or minimum value) in the step response only if

image

(b) Overshoot occurs only for ?0/?1.

(c) Inverse response occurs only for ?a (d) If an extremum in y exists, the time at which it occurs can be found analytically. What is it?

(d) If an extremum in y exists, the time at which it occurs can be found analytically. What is it?

K(ras + 1) X(s) (7as + 1)(725 +1) Y(s) (T1 > 12)

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