EEE 334 FINAL EXAM 2026/2027 -
CONTROL SYSTEMS ENGINEERING
QUESTIONS AND ANSWERS |2026/2027
UPDATE | JUST RELEASED
1. A system has a transfer function G(s) = 10 / (s^2 + 2s + 10). What is the natural frequency
(ωn) of this system?
A. 2 rad/s
B. √10 rad/s
C. 10 rad/s
D. 5 rad/s
Answer: B
Conceptual Explanation: Comparing the denominator to the standard form s^2 + 2ζωns +
ωn^2, we get ωn^2 = 10, so ωn = √10.
2. Which of the following describes a ‘minimum phase system’?
A. A system with all zeros and poles in the left-half plane.
B. A system with no poles in the right-half plane.
C. A system with only one pole at the origin.
D. A system that has a transport delay.
,Answer: A
Conceptual Explanation: Minimum phase systems have all their poles and zeros located in
the left-half of the s-plane.
3. In the state-space representation ẋ = Ax + Bu, the system is said to be completely
controllable if the rank of the controllability matrix is:
A. Equal to 1
B. Less than n
C. Equal to n, where n is the number of states
D. Zero
Answer: C
Conceptual Explanation: For full controllability, the controllability matrix [B AB A^2B …
A^(n-1)B] must have a full rank equal to the order of the system n.
4. The addition of a zero to a system transfer function generally has what effect on the root
locus?
A. Moves it towards the left-half plane, increasing stability.
B. Moves it towards the right-half plane, decreasing stability.
C. Has no effect on the stability.
D. Causes the root locus to cross the imaginary axis.
Answer: A
, Conceptual Explanation: Adding a zero tends to pull the root locus to the left, which
usually improves the relative stability and speed of the response.
5. What is the steady-state error for a Type 1 system subjected to a unit step input?
A. Infinity
B. 1 / (1 + Kp)
C. 1 / Kv
D. Zero
Answer: D
Conceptual Explanation: A Type 1 system has one integrator, which results in zero
steady-state error for a step input.
6. Using Mason’s Gain Formula, what does ‘Δ’ represent?
A. The sum of all individual loop gains.
B. The determinant of the signal flow graph.
C. The forward path gain.
D. The output-to-input ratio.
Answer: B
Conceptual Explanation: Δ is the determinant of the graph, calculated as 1 - (sum of
loops) + (sum of products of non-touching loops) etc.
CONTROL SYSTEMS ENGINEERING
QUESTIONS AND ANSWERS |2026/2027
UPDATE | JUST RELEASED
1. A system has a transfer function G(s) = 10 / (s^2 + 2s + 10). What is the natural frequency
(ωn) of this system?
A. 2 rad/s
B. √10 rad/s
C. 10 rad/s
D. 5 rad/s
Answer: B
Conceptual Explanation: Comparing the denominator to the standard form s^2 + 2ζωns +
ωn^2, we get ωn^2 = 10, so ωn = √10.
2. Which of the following describes a ‘minimum phase system’?
A. A system with all zeros and poles in the left-half plane.
B. A system with no poles in the right-half plane.
C. A system with only one pole at the origin.
D. A system that has a transport delay.
,Answer: A
Conceptual Explanation: Minimum phase systems have all their poles and zeros located in
the left-half of the s-plane.
3. In the state-space representation ẋ = Ax + Bu, the system is said to be completely
controllable if the rank of the controllability matrix is:
A. Equal to 1
B. Less than n
C. Equal to n, where n is the number of states
D. Zero
Answer: C
Conceptual Explanation: For full controllability, the controllability matrix [B AB A^2B …
A^(n-1)B] must have a full rank equal to the order of the system n.
4. The addition of a zero to a system transfer function generally has what effect on the root
locus?
A. Moves it towards the left-half plane, increasing stability.
B. Moves it towards the right-half plane, decreasing stability.
C. Has no effect on the stability.
D. Causes the root locus to cross the imaginary axis.
Answer: A
, Conceptual Explanation: Adding a zero tends to pull the root locus to the left, which
usually improves the relative stability and speed of the response.
5. What is the steady-state error for a Type 1 system subjected to a unit step input?
A. Infinity
B. 1 / (1 + Kp)
C. 1 / Kv
D. Zero
Answer: D
Conceptual Explanation: A Type 1 system has one integrator, which results in zero
steady-state error for a step input.
6. Using Mason’s Gain Formula, what does ‘Δ’ represent?
A. The sum of all individual loop gains.
B. The determinant of the signal flow graph.
C. The forward path gain.
D. The output-to-input ratio.
Answer: B
Conceptual Explanation: Δ is the determinant of the graph, calculated as 1 - (sum of
loops) + (sum of products of non-touching loops) etc.
