Control-system Transfer Functions - Measurements and Control Systems - Biomedical Engineering Previous Year Questions

1

2020 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2020

State-space model of a system is given as:
\[ \dot{X} = \begin{bmatrix} 0 & 2 \\ a & 0 \end{bmatrix} X + \begin{bmatrix} b \\ 0 \end{bmatrix} U \]
\[ Y = \begin{bmatrix} 1 & 0 \end{bmatrix} X \]
The conditions for the system to be controllable are

A

a = 0, b \neq 0

B

a \neq 0, b = 0

C

a \neq 0, b \neq 0

D

a = 0, b = 0

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2

2020 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2020

For a non-unity feedback system with \(G(s) = \frac{12}{s+2}\) and \(H(s) = \frac{2}{s+3}\), the magnitude of steady-state error to a unit step-input is

A

0.50

B

0.45

C

0.25

D

0.20

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3

2021 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2021

Consider a type 2, unity feedback system. The intersection of the initial −40 dB/dec segment, of its Bode plot, with the zero dB line occurs at a frequency of 2 rad/s. The acceleration error constant of the system \(K_a\) is ____.

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4

2021 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2021

Consider a unity feedback system with closed loop transfer function
C(s)/R(s) = (s + 90) / (s² + 10s + 90)
The steady state error with respect to a unit ramp input is ____. (rounded off to one decimal place)

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5

2024 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2024

The Bode plot of a 2\(^{nd}\) order low pass filter is shown in the figure below. What is the frequency at which the attenuation is 80 dB?

A

10 kHz

B

10 MHz

C

100 kHz

D

100 MHz

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6

2025 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2025

Which one of the following represents the frequency response of a notch filter?

A

B

C

D

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7

2025 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2025

The closed loop system shown below \_\_\_\_\_\_\_\_\_\_.

A

is overdamped

B

is underdamped

C

is critically damped

D

has sustained oscillations

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8

2025 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2025

Which one of the following statements is CORRECT for any second order linear system with Proportional Integral Derivative (PID) controller?

A

Integral component decreases residual steady state error

B

Integral component integrates the output signal only

C

Integral component increases residual steady state error

D

Integral component integrates the input signal only

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9

2026 · Biomedical Engineering · Measurements and Control Systems · Control-system Transfer Functions

Biomedical Engineering (BM) 2026

A control system shown in the figure below has a forward gain G = 100. An input V_in = 5 volts is supplied to the system. What is the absolute error between the output V_out and input V_in in volts?

A

0.00

B

0.05

C

0.50

D

1.00

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