# Practice Questions on Control Systems

 Q1. What is the rise time of a second order control system when subjected to a unit step input, the values of $\zeta=0.5$ and $\omega_n=6$ rad/sec?
 A. 0.702 sec B. 0.665 sec C. 0.403 sec D. 0.302 sec

 Q2. The open loop transfer function of a unity feedback system is $G(s)=\dfrac{10}{s^2+2s+10}$ The output of the system if the input is a unit step is:
 A. $0.24-0.24e^{-10t}+0.24e^{-20t}$ B. $0.12-0.12e^{-10t}+0.12e^{-20t}$ C. $0.24-0.24e^{10t}+0.12e^{20t}$ D. $0.12-0.24e^{-10t}+0.12e^{-20t}$

 Q3. A second order system has a transfer function given by  $\text G(s)=\dfrac{16}{s^2+4s+16}$ If the system initially at rest is subjected to a unit step input at $t=0$, the second peak in the response will occur at:
 A. $\pi/3$ sec B. $\dfrac{2\sqrt{3}\pi}{5}$ sec C. $\pi/2$ sec D. $2\sqrt{3}\pi$ sec

 Q4. The forward path transfer function of a unity feedback system is: $G(s)=\dfrac{500}{(s+10)(s^2+3s+10)}$ the input given is $30u(t)$, the steady state error is:
 A. 12 B. 8 C. 8 D. 5

 Q5. Given,  $G(s)H(s)=\dfrac{100}{s(s+1)(s+2)}$ What is the point of intersection of the asymptotes of the root loci with the real axis?
 A. -2.5 B. -1.6 C. -1.0 D. 1.0 E. F.

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