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

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## Download Previous Year PTU University QuestionÂ Paper of Linear Control Systems 4th Sem BTEE-402 B.Tech EE PTU APRIL 2019 Paper

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

## LINEAR CONTROL SYSTEMS

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

### Time : 3 Hrs.Â Â Â Â Â Â Â Â Â Â Â Â Â 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.

## Â **Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SECTION-B**

**Q2. Attempt any FOUR questions.Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 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).

**Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SECTION-C**

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

#### 1.Explain :

#### Â Â a) Synchros

#### Â Â 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 :

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

#### Â Â b) Modelling of mechanical systems

Explain Disturbance

Â

Pneumatic and electrical analogies.

Â

Sampled data control system.

Â

Various time domain test input signals.

Â

Advantages of block diagram representation.

Â

Explain absolute and relative stability.

Â

Importance of compensators in control system.

Â

Need of error detectors in control system.

Â

Significance of rise time and settling time.

Â

Discuss Need of time and frequency domain analysis.

Â

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

#### Differentiate theÂ 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.

#### Â

#### 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 PaperÂ

#### a) Synchros

#### Â Â

#### b) Parallel compensation

#### Â

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

#### Â

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

#### Â

#### Â Â b) Modelling of mechanical systems

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

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