Impulse response of Second Order System
Trending Questions
Q. A control system with certain excitatioin is governed by the following mathematical equation
d2xdt2+12 dxdt+118x=10+5e−4t+2e−5t
The natural time constants of the response of the system are
d2xdt2+12 dxdt+118x=10+5e−4t+2e−5t
The natural time constants of the response of the system are
- 2s and 5s
- 3s and 6s
- 4s and 5s
- 1/3s and 1/6s
Q. A second-order real system has the following properties:
(a) The damping ratio ξ=0.5 and undamped natural frequency ωn=10rad/s.
(b) The steady state value of the output to a unit step input is 1.02.
The transfer function of the system is
(a) The damping ratio ξ=0.5 and undamped natural frequency ωn=10rad/s.
(b) The steady state value of the output to a unit step input is 1.02.
The transfer function of the system is
- 102s2+5s+100
- 102s2+10s+100
- 102s2+s+100
- 102s2+5s+100
Q. A linear, time - invarient, casual continuous time system has a rational transfer function with simple poles at s=−2 and s=−4, and one simple zero at s=−1.A unit step u(t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is
- [e−2t+e−4t]u(t)
- [−4e−2t+12e−4t−e−t]u(t)
- [−4e−2t+12e−4t]u(t)
- [−0.5e−2t+1.5e−4t]u(t)
Q. The differential equation 100d2ydt2−20dydt+y=x(t) describes a system with an input x(t) and an output y(t).The system, which is initially relaxed is excited by a unit step input. The output y(t) can be represented by the waveform
Q. Given figure shows a closed loop unity feedback system. The controller block has transfer function denoted by Gc(s). The controller is cacaded to plant, which is denoted by Gp(s)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173012/original_4.19.png)
The loop transfer function Gc(s) is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173012/original_4.19.png)
The loop transfer function Gc(s) is
- 1+0.1ss
- −1+0.1ss
- −ss+1
- ss+1
Q. For a second order closed-loop system shown in the figure, the natural frequency (in rad/s) is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1253735/original_csc6.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1253735/original_csc6.png)
- 16
- 4
- 2
- 1
Q. Match the unit-step responses(1), (2) and (3) with transfer functions P(s), Q(s) and R(s), given below.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173868/original_4.31_1.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173869/original_4.31_2.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173872/original_4.31_3.png)
P(s)=−1(s+1);Q(s)=2(s−1)(s+10)(s+2);R(s)=1(s+1)2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173868/original_4.31_1.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173869/original_4.31_2.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1173872/original_4.31_3.png)
P(s)=−1(s+1);Q(s)=2(s−1)(s+10)(s+2);R(s)=1(s+1)2
- P(s)−(3), Q(s)−(2), R(s)−(1)
- P(s)−(1), Q(s)−(2), R(s)−(3)
- P(s)−(2), Q(s)−(1), R(s)−(3)
- P(s)−(1), Q(s)−(3), R(s)−(2)