9)
A second-order under-damped system has the overall transfer function as follows:
$\frac{Y(s)}{R(s)} = \frac{\omega_n^2}{s^2 + 2\zeta\omega_ns + \omega_n^2}$
It is possible to achieve a response that does not exhibit any overshoot and undershoot by an
appropriate choice of the input function r(t) to give the desired output as shown in below figure.
Determine the value of $t_1$, A and B when $\zeta = 0.7, \omega_n = 5$ rad/sec.