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00000AE301121904

PART B
Answer any two full questions, each carries 15 marks.
Using Routh stability criterion, determine the range of K for stability of unity

feedback system whose open loop transfer function is G(s) = ‏سی‎
‎Derive the expression for resonant peak and resonant frequency of second order
system.
Define the terms phase margin and gain margin.
Sketch the root locus of the system with open loop transfer function

6 K

(S) = 50s 4 3)(s? +25 +2)
What are M and N circles?

Plot the Bode diagram for the following transfer function and find the gain
margin and phase margin.
5(1 2s)
G(s) = ‏جس گے‎
(1 + 4s)(1+ 0.25s)
PART C
Answer any two full questions, each carries 20 marks.
Obtain the state model for given transfer function

¥(s) _ 1
U(s) 52 +541

Mention the advantage of diagonalization of system matrix in state space
analysis. Discuss the methods for diagonalization. Find the eigen values of the
matrix A = [ 3 -2 -1 2 ] and also diagonalize the given matrix without
calculating eigenvectors.

Define the terms state variable and state space.

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