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68606 Page 1 of 2

[Time: Three Hours] [Marks:80]

Instructions: 1. Question.No.1 is compulsory. 2. Attempt any three questions from remaining five questions. 3. Assume suitable data wherever necessary.

1 Attempt the following: 20

a. Determine linear convolution for x(n)={-3, 1 ,-5 ,1, -7} & h(n)={-10 , -2 ,-3 ,-5 }

b. Compute Laplace transform and

𝑥(𝑡) = 4𝑒−3𝑡 𝑢(−2𝑡) + 𝑒−3𝑡𝑢(𝑡 − 1)

c. Determine the convolution using z transform for

𝑥(𝑛) = (−2

3)2𝑛 𝑢(2𝑛) 𝑎𝑛𝑑 ℎ(𝑛) = (−

1

2)𝑛 𝑢(𝑛)

d. Determine Fourier series coefficients of 𝑥(𝑛) = {5, 5}

2 a. Prove the following properties of 𝑧–transform:

1. Time-reverse property

2. Differentiation property

3. Correlation property

10

b. Justify whether following systems are static/dynamic, casual /non casual,

stable/unstable, Time invariant/Time variant, Linear/ non Linear:

1. 𝑦(𝑡) = 𝑦(𝑡 − 2) + 𝑥2 (2𝑡)

2. 𝑦(𝑛) = 𝑥(2𝑛) + 𝑥(2𝑛 − 1) + 𝑥(2𝑛 − 2)

10

3 a. Justify whether following signals are energy signals or power signals.

1) 𝑥(𝑡) = 𝐴𝑐𝑜𝑠 (20𝜋𝑡)

2) 𝑥(𝑛) = (−2)𝑛 𝑢(𝑛)

5

b. Sketch even and odd parts of the signal shown below:

𝑥(𝑡) = 2.5 cos(2𝜋𝑡) + 5 sin (4𝜋𝑡)

5

c. Find Fourier transform sketch magnitude and phase response for signal

ℎ(𝑡) = 𝑒−2𝑡/3, 𝑡 ≥ 0

10

Paper / Subject Code: 32501 / Signals and Systems

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68606 Page 2 of 2

4 a. Sketch the output signals by performing following operations on signal shown

below:

𝑥 (𝑡) = 𝛿(−𝑡 − 1) + 𝛿(𝑡 + 2) 1) 𝑥 (3𝑡

2− 1) 2) 𝑥 (

𝑡

2) 3) 𝑥(−2 − 𝑡 )

10

b. Determine impulse response and unit-step response of system with transfer

function:

𝐻(𝑧) =2 − 𝑧−1 + 2𝑧−2

1 − 3.5𝑧−1 + 2𝑧−2

10

5 a. Determine Fourier series coefficients for the rectangular pulse signal. 5

b. Find impulse response h(t)

𝐻(𝑠) = 𝑠−0.5

(𝑠−1)(𝑠−2) 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑅𝑂𝐶𝑠.

8

c. Find 1) Transfer function 2) Impulse Response for the system described by

differential equation

1.5𝑑2𝑦(𝑡)

𝑑𝑡2 − 3.5𝑑𝑦 (𝑡)

𝑑𝑡+ 2𝑦(𝑡) = 2.5

𝑑𝑥(𝑡)

𝑑𝑡− 2𝑥(𝑡)

7

6 a. Determine circular convolution of signals shown below:

ℎ1(𝑛) = {1, 2, 3, 4}, ℎ2(𝑛) = {4, 3, 2, 1}

10

b. State any 2 properties of Discrete-time Fourier transform (DTFT). 4

c. Find transfer function of the system described by the difference equation:

𝑦(𝑛) = −3.5𝑦(𝑛 − 1) + 6.5𝑦(𝑛 − 2) + 5.5𝑥(𝑛) − 1.25𝑥(𝑛 − 2)

Also, sketch pole-zero plot

6

___________________________________

Paper / Subject Code: 32501 / Signals and Systems

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76125 Page 1 of 1

Q.1 Solve any four 20

a. Draw and explain block diagram of Microprocessor.

b. Compare characteristics of RISC & CISC architecture

c. Give comparison between 8051 μc families

d. Describe the function of following instruction of 8051 μc.

i. ADD A,60H

ii. MOV A,@Rp

iii. CPL A

iv. SWAP A

e. Write steps for programming the 8051 microcontroller to transfer data serially.

Q.2 a. Draw complete architecture of 8051 microcontroller & explain the use of all ports. 10

b. Write an assembly program to convert packed BCD 29H to two ASCII numbers and

place them in R2 & R6. 10

Q.3 a. Explain addressing modes of 8051 microcontroller with instruction examples. 10

b. Explain TMOD & TCON timer registers of 8051 microcontroller 10

Q.4 a. The word “RAJIV” is to be burned in flash ROM location starting from 0500H of

microcontroller. Write a program to do this & to read this data into internal RAM locations

starting from 80H. 10

b. Interface a dc motor with 8051 microcontroller & also write an 8051 program to run the dc motor

in both forward & reverse direction with delay? 10

Q.5 a. Write assembly language program to generate a wave with an ON time of 3ms & an OFF time

of 10ms on all pins of port0.Assume XTAL of 22 MHz. 10

b. Draw the diagram to interface external RAM & ROM with 8051 μc. Mention the pins during

interfacing & describe in brief. 10

Q.6 a. Draw complete circuit diagram for interfacing the LCD module to 8051 microcontroller. State

steps for sending data to LCD module. 10

b. Draw interfacing of DAC with 8051 and write an assembly language program to produce sine

wave. 10

************

Duration: 03 Hours. Total marks: 80

N. B. (1) Question No. 1 is compulsory.

(2) Answer any Three out of remaining questions.

(3) Assumptions made should be clearly stated.

Paper / Subject Code: 32502 / Applications of Microcontroller

2FC8B81F0F26A74E5132017E089A0450

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F

76306 Page 1 of 2

(3 hours)

[Total marks 80]

N.B.: (1) Question no. 1 is compulsory.

(2) Write any 3 questions from remaining.

(3) Figures to the right indicates full marks.

Q 1. Attempt any four. 20

a Draw Electrical Lead, Lag and Lag-Lead compensator diagrams and plot

corresponding Pole-Zero plot.

b Construct the Vandermonde matrix M for system having following eigen values

1,1.1, … , 1, 𝑚+1, 𝑚+2, … , 𝑛 (Eigenvalue 1 of multiplicity of m)

c For system shown in figure below obtain State model

d What is Compensator? Explain cascade and feedback compensator with neat

diagram

e Define State, State variable, State Vector and State space

Q 2. a If 𝐺(𝒔) =𝒌

𝒔 (𝒔+𝟒)(𝒔+𝟔) for which the PD compensator is to be designed such that

the compensated system exhibits 12% peak overshoot and has settling time equal

to 1 sec.

10

b Explain design steps of Lead compensator using Root Locus. 10

Q 3. a Explain design steps of Lag compensator using Bode Plot. 10

Paper / Subject Code: 32503 / Control System Design

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76306 Page 2 of 2

b For a unity feedback system 𝑮(𝒔) =𝟒𝒌

𝒔 (𝒔+𝟐) design a suitable compensator with

following specifications, 1) Velocity error constant 20 sec-1 and 2) Phase margin

at least 50∘.

10

Q 4. a Check for the Stabilizability and Detectability of the system

�̇� = [2 00 −1

] 𝑥 + [10

] 𝑢

𝑦 = [1 0] 𝑥

10

b Diagonalise the following matrix

𝐴 = [0 1 00 0 11 −3 3

]

10

Q 5. a Check controllability and observability of the following systems

(I) �̇� = [0 1

−2 −3] 𝑥 + [

01

] 𝑢

𝑦 = [1 0] 𝑥

(II) �̇� = [0 1 00 0 10 −2 −3

] 𝑥 + [001

] 𝑢

𝑦 = [10 0 0] 𝑥

10

b For a regulator system the plant is given by �̇� = 𝐴𝑥 + 𝐵𝑢

Where 𝐴 = [0 1 00 0 1

−1 −5 −6] and 𝐵 = [

001

]

The system uses state feedback control 𝑢 = −𝐾𝑥. Desired closed loop poles are

at (−2 ± 4𝑗), 10. Determine state feedback gain matrix

10

Q 6. a A system is given by

�̇� = [0 1

−6 −5] 𝑥 + [

01

] 𝑢

𝑦 = [1 0] 𝑥

Design the observer that has poles at -25, -30.

10

b Explain Ziegler Nichols tuning rules for tuning of PID controller

10

******

Paper / Subject Code: 32503 / Control System Design

EE3BC0983D326D114F812BDFD2C3566F

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76527 Page 1 of 1

[Time: 3 Hours] [ Marks:80]

Please check whether you have got the right question paper.

N.B: 1. Question No.l is compulsory.

2. Attempt any three questions from Q.2 to Q.6

3. Draw neat diagrams wherever required

4. Assume suitable data if necessary.

1 Attempt any five. 20

1. What is the need of pneumatic systems? compare plant air and instrument air.

2. Compare pneumatic, hydraulic and electric systems.

3. Compare SMART and conventional Transmitters.

4. Why control valves are required? Develop specifications of suitable control valve

to throttle water in pipeline.

5. Why industrial control components are used in industry? Give applications of

various switches.

6. Explain with suitable diagram working of pressure switch and its application.

2. 1. Explain with block diagram working of SMART pressure transmitter. State its

features and industrial applications.

2. Explain with neat sketches working of directional control valves.

10

10

3. 1. What is the need for valve positioner? Explain with suitable diagram working of

Force balance valve positioner system. State its effect on performance of control

valve.

2. Explain with neat sketches working of single and double acting linear actuators.

10

10

4. 1. Using differential pressure transmitter explain hot water level measurement in a

tank. state zero suppression effect.

2. Explain with suitable sketches working of control relay and contactor

10

10

5. 1. What is converter? Draw and explain current to pneumatic converter.

2. Explain in detail classification and application of control valves.

10

10

6. Write a short note on following :- 20

1. Alarm annunciator

2. Air relay

3. Valve plug characteristics

4. Relief valve

---------------------------

Paper / Subject Code: 32504 / Control System Components

21B16FC4CF1CA58890D1D90136643153

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76821

[Time: Three Hours] [ Marks:80]

N.B: 1. Question.No.1 is compulsory.

2. Attempt any three questions from remaining five questions.

3. Assume suitable data wherever necessary.

1. Answer the following 20

a) Explain working principle of any one optical chemical sensor.

b) Explain working principle of ADXL345 digital accelerometer.

c) Explain any one etching technique used in MEMS fabrication.

d) Explain optical method of dissolved oxygen measurement.

2. a) List various types of sensors based on Chemical transduction principle and explain any

two.

10

b) Explain various techniques of deposition for MEMS sensor fabrication. 10

3. a) Give comparative study of thermal sensors. 10

b) Explain lift-off fabrication technique in detail. 10

4. a) List various ADCs used for sensor signal conditioning and explain any one in detail. 10

b) Explain digital humidity and temperature DHT sensor. 10

5. a) Explain smart analog IC 500 in detail. 10

b) List various mechanical sensors and explain application of any one sensor in detail. 10

6. Write short note on any two : 20

a) Sensors for soil moisture measurement

b) Photolithography

c) Carbon Dioxide Measurement

***********

Paper / Subject Code: 32505 / Elective - I Advanced Sensors

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