**B.Tech.** **(EE-2011 Batch)**

## LINEAR CONTROL SYSTEMS

### Subject Code : BTEE-402 Paper ID : [ A1188]

### Time : 3 Hrs. Max. Marks : 60

#### INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions

## Linear Control Systems 4th Sem BTEE-402 B.Tech EE PTU Nov 2019 Paper

**SECTION-A**

**Q1. Answer Briefly.**

#### a) What do you mean by disturbance? Explain.

#### b) Write down the pneumatic and electrical analogies.

#### c) What do you mean by sampled data control system? Explain.

#### d) Discuss (in brief) various time domain test input signals.

#### e) List the advantages of block diagram representation.

#### f) What do you mean by absolute and relative stability? Explain.

#### g) Discuss the importance of compensators in control system.

#### h) What is the need of error detectors in control system? Explain.

#### i) What is the significance of rise time and settling time? Discuss.

#### j) What is the need of time and frequency domain analysis? Discuss.

## ** SECTION-B**

**Q2. Attempt any FOUR questions. 5×4=20**

2. Differentiate the following with suitable examples :

a) Open and closed loop systems

b) Linear and non-linear systems

3. Discuss the relationship between time and frequency response for second order systems.

4. Determine the stability of a closed loop control system (using the Routh-Hurwitz criterion) whose characteristics equation is given by

#### 2S^{5} + 2S^{4} + + 4S^{3} + 4S^{2} + 22S + 20 = 0

#### The unity feedback control system has open loop transfer function

*G*(*s*) =*K/**s*(*s *+ 4). Draw the root locus and determine the value of K if damping ratio is to be 0.707.

#### 5.Explain the field-controlled D.C. servomotor. Also derive the transfer function relating the output w_{m}(s) and the input V_{f}(s).

** SECTION-C**

**Q3. Attempt any TWO questions.**** 2×10=20**

#### 1.Explain :

#### a) Synchros

#### b) Parallel compensation

#### 2.Sketch the Bode plot for the transfer function given below : G(s)H(s) =4(*s *+ 4)/*s*2 (*s *+ 2)(*s *+ 5)

#### 3.Discuss :

#### a) Steady state error and error coefficient

#### b) Modelling of mechanical systems

Explain Disturbance

Pneumatic and electrical analogies.

Sampled data control system.

Various time domain test input signals.

Advantages of block diagram representation.

Explain absolute and relative stability.

Importance of compensators in control system.

Need of error detectors in control system.

Significance of rise time and settling time.

Discuss Need of time and frequency domain analysis.

###### Linear Control Systems 4th Sem BTEE-402 B.Tech PTU APRIL 2019 Paper

#### Differentiate the Open and closed loop systems

#### Linear and non-linear systems

#### Relationship between time and frequency response for second order systems.

#### Stability of a closed loop control system (using the Routh-Hurwitz criterion) whose characteristics equation is given by

#### 2S^{5} + 2S^{4} + + 4S^{3} + 4S^{2} + 22S + 20 = 0

#### The unity feedback control system has open loop transfer function

*G*(*s*) =*K/**s*(*s *+ 4). Draw the root locus and determine the value of K if damping ratio is to be 0.707.

#### Field-controlled D.C. servomotor.

#### Derive the transfer function relating the output w_{m}(s) and the input V_{f}(s).

##### Linear Control Systems 4th Sem BTEE-402 B.Tech PTU APRIL 2019 Paper

#### a) Synchros

#### b) Parallel compensation

#### Bode plot for the transfer function given below : G(s)H(s) =4(*s *+ 4)/*s*2 (*s *+ 2)(*s *+ 5)

#### a) Steady state error and error coefficient

#### b) Modelling of mechanical systems

##### Linear Control Systems 4th Sem BTEE-402 B.Tech PTU APRIL 2019 Paper

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