Question

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.

          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.

$1. For a unity feedback system whose open-loop transfer function is given by, G(s) = frac50(1 + 0.1s)(1 + 2s) Find the position, velocity and acceleration error constants. 2. For the given closed loop transfer function, fracC(s)R(s) = fracomegan(s^2 + 2epsilonomegan s + omegan^2) Obtain the following, a) Controlled output c(t) for r(t)=u(t) b) Percentage first peak overshoot and corresponding time constant c) Location of poles on the s-plane as it changes from zero to infinity d) Settling time for 2% tolerance band. e) Rise time.$

Added by Jaime F.

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