engineering recuitment GATE ECE 2023-24 Test Series Control Systems Time Response Analysis Time Domain Specifications
Two linear time-invariant systems with transfer functions
\(\rm G_1(s)=\frac{10}{s^2+s+1}\) and \(\rm G_2(s)=\frac{10}{s^2+s\sqrt{10}+10}\)
have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?
1
y1(t) and y2(t) have the same percentage peak overshoot.
2
y1(t) and y2(t) have the same steady-state value.
3
y1(t) and y2(t) have the same damped frequency of oscillation.
4
y1(t) and y2(t) have the same 2% settling time.