JNTUH COLLEGE OF ENGINEERING, KUKATPALLY, HYDERABAD

(Autonomous)

IV/V B.TECH (IDP & IIDDMP) I SEMESTER, MID EXAMINATION-I

Modern Control Theory

Time: 2hours Marks: 25

Note: 1.Answer any five questions

2. All questions carry equal marks

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(1) (a) Explain the concept of Field and its properties to be satisfied. Also illustrate with suitable examples.(b) Explain the concept of Norm and also explain how to determine the Norm of Vector and Matrix.

(2) (a) Derive a transfer function from standard state model for linear time invariant system.

(b) Consider a system having state model

[ X1

X2] = [−2 −3

4 2 ] [X1

X2] + [35] U and Y = [1 1] [X1

X2]

With D=0.Obtain its Transfer function

(3) Consider the following systems matrix A,

A = [ 0 1 03 0 2

−12 −7 −6 ]Determine the generalized Eigen vectors and also find the corresponding Diagonal Matrix.

(4)