انه e (A) For a vibration system with transfer function below 80 5 O s²+2s+4 (a) Calculate the damping ratio, damped natural frequency; (b) If the system is under unit step input, calculate the settling time and Maximum overshoot; (c) Obtain the complementary solution (transient response); (d) Obtain the particular solution (steady state response) when the system is under a step input: 0₁ = 5 (e) Determine the total system response if the system is initially at rest. (B) For the above system, please choose the correct answer for the following questions: (1) Which of the following curve is the Nyquist diagram of this control system: 1.5 Nyquist Diagram Imaginary Axis 0.5 -0.5 -1 (2) Is the system stable or not? A. Stable -0.5 0.5 1.5 Real Axis Figure 2 B. Marginally stable C. Unstable he nt e ns gu or
انه e (A) For a vibration system with transfer function below 80 5 O s²+2s+4 (a) Calculate the damping ratio, damped natural frequency; (b) If the system is under unit step input, calculate the settling time and Maximum overshoot; (c) Obtain the complementary solution (transient response); (d) Obtain the particular solution (steady state response) when the system is under a step input: 0₁ = 5 (e) Determine the total system response if the system is initially at rest. (B) For the above system, please choose the correct answer for the following questions: (1) Which of the following curve is the Nyquist diagram of this control system: 1.5 Nyquist Diagram Imaginary Axis 0.5 -0.5 -1 (2) Is the system stable or not? A. Stable -0.5 0.5 1.5 Real Axis Figure 2 B. Marginally stable C. Unstable he nt e ns gu or
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:انه
e
(A) For a vibration system with transfer function below
80
5
O
s²+2s+4
(a) Calculate the damping ratio, damped natural frequency;
(b) If the system is under unit step input, calculate the settling time and Maximum overshoot;
(c) Obtain the complementary solution (transient response);
(d) Obtain the particular solution (steady state response) when the system is under a step input:
0₁ = 5
(e) Determine the total system response if the system is initially at rest.
(B) For the above system, please choose the correct answer for the following questions:
(1) Which of the following curve is the Nyquist diagram of this control system:
1.5
Nyquist Diagram
Imaginary Axis
0.5
-0.5
-1
(2) Is the system stable or not?
A. Stable
-0.5
0.5
1.5
Real Axis
Figure 2
B. Marginally stable
C. Unstable
he
nt
e
ns
gu
or
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