Fall 2025
Control system
Assignment
1.Discuss effects on dynamic response adding one pole or one zero.
2. Give Y(s)/ R(S) of the following unity feedback system
3.
Find
and ωn of the following transfer function
𝜉
G(S) = 2
36
𝑆 +4.2𝑆 +36
4. For each of the following determine if the system is
underdamped, overdamped, critically damped and untamed
a.
b.
c.
𝜉 =0.3 and ωn = 20
𝜉 =1.5 and ωn = 30
𝜉 =0, ωn = 30
5. What is the necessary condition for Routh-Hurwitz criteria? Check
for stability of the following characteristics functionsL
1.
2. q(s)= s4 + 8s3 + 17s2 + (10+K)s + 3K = 0
6. Explain the following of root locus method
a. Locus of poles in real axis
b. Start and ending of root locus
c. No. of branches
d. Asymptotes and centroid
e. Break-out and break in point
7. Find root locus in real axis, asymptotes,centroids, gain K, break-out
point, when locus is in imaginary axis of the following G(S)
k(s+3)
—---------(s+1)(s+2)
8. What is understood by frequency response? Define resonance
frequency and bandwidth and their behaviour in dynamic
response in control system.
9. What is the Bode plot? Explain the following:
a. Magnitude and phase plot
b. Gain crossover frequency and phase crossover frequency
c. Stability criteria
d. Gain margin and phase margin
10.
Give Bode plot for the following:
a) K
b) S
11. Lag and lead compensators and features
12. P, PI and PID Control and features.
13. What is Nyquist plot?