# Linear systems Analysis s4 Btech EEE Question paper MG University

revious question paper of 4th semester EEE MG University

B.TECH. DEGREE EXAMINATION, MAY 2012

Fourth Semester

Branch:Electrical and Electronics Engineering

EE 010 403-Linear systems Analysis (EE)

(New Scheme – Regular 2010 Admission)

Time: Three Hours Maximum: 100 Marks

Part A

Answer all questions. Each question carries 3 marks.

1. List out merits and demerits of Open loop control systems and closed loop control systems?

2. State the reason for choosing state variable analysis over Transfer function method?

3. Write short notes on steady-state error coefficient in time response systems

4. What does characteristics equation mean? What is its significance

5. Write the various open circuit impedance parameters

Part B

Each question carries 5 marks.

1. Define transfer function in detail discuss the role of transfer function in a system behavior

2. Explain the various steps involved in developing state variable equation of RLC networks

3. In detail explain various time domain specifications with diagram?

4. Sketch the root locus for a unity feedback system with open loop transfer function?

G(a)=KS/(S2+4)(S+2)

5. State the procedure of obtaining residues by pole zero plot?.

Part C

Each question carries 12 marks.

Module 1

Discuss about the mathematical modeling of electro-mechanical, translational and rotational systems

or

In detail explain the procedure of linearizing the non-linear models of electrical systems and linearize the non linear equation

Z=XY

In the region 5<=X<= 7, 10<=Y<=12. Find the error if the linearized equation is used to calculate the value of Z when X=5, Y=10

Module 2

Explain the procedure of creating signal flow graph from equations and vice versa ?

or

Obtain the state space representation of :

a)armature controlled DC Motor

b)Field controlled D C Motor

Module 3

The overall transfer function of a unity feedback system is given by

C(s)/R(s)=[10/(s2+6s+10)]. Find the values of the static error constants. Also determine the steady state error for the input r(t)=1+t+t2

or

A servo mechanism is used to control the angular position Θb of a mass through a Θi. The moment of inertia of load is 200 kg-m2 and the motor torque at load is 6.88x 104 N/m/rad of error. The damping torque coefficient is 5x103 N/m/rad. Find the time response for a step input of 1 radian

Module 4

Using Routh-Hurvitz criterion for the unity feedback system with open loop transfer function:

G(s)= K/S(S+1)(S+2)(S+5)

a)Find the range of K for stability

b)Find the value of K for marginally stable

c)Find the actual location of the closed loop poles when the system is marginally stable

Or

State Lyapunov's theorem. Compare direct and indirect methods of Lyapunov's theorem. Explain stability analysis using Lyapunov's direct method

Module 5

Write notes on the following:

a)Transmission(ABCD) parameters

b)Inverse transmission( A' B' C' D') parameters

c)Hybrid(g) parameters

d)inverse(g') parameters

or

Write notes on following

a)Ideal transformers

b) Gyrator

c)Impedance converter

linear-systems-analysis-s4-btech-eee-question-paper-mg-university