1. For a unity feedback system whose open-loop transfer function is given by,
$G(s) = frac{50}{(1 + 0.1s)(1 + 2s)}$
Find the position, velocity and acceleration error constants.
2. For the given closed loop transfer function,
$frac{C(s)}{R(s)} = frac{omega_n}{(s^2 + 2epsilonomega_n s + omega_n^2)}$
Obtain the following,
a) Controlled output c(t) for r(t)=u(t)
b) Percentage first peak overshoot and corresponding time constant
c) Location of poles on the s-plane as it changes from zero to infinity
d) Settling time for 2% tolerance band.
e) Rise time.
