b)

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The block diagram of a unity feedback (negative) system is shown in figure. Determine the
steady state error for unit ramp input when K=400. Also determine the value of K for which

the steady state error to unit ramp will be 0.02

च 1 09)
= 5
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PARTB
Answer any two full questions, each carries 15 marks.

Comment on the stability of the system whose characteristic equation is given by
$25335 46522510.

A unity feedback control system has an open loop transfer function

G(s)=K(s+9)/ s(s+3)(s+5).Sketch the root locus.

Compare PI,PD and PID controllers.

Sketch the bode plot for the following transfer function and determine phase margin and gain

75(1+0.2s)

margin. G(s) = (2241524100). *

Draw the Nyquist plot for the system whose open loop transfer function is

K

SONG) = ന്നി

. Determine the range of K for which the closed loop system is

stable.
Describe the design procedure of a lag compensator.

PART C
Answer any two full questions, each carries 20 marks.
A linear system representation in state space is given as

0 च 0 0
௫ -3 1
೫512 2 2]

Apply Kalman’s test to find whether the system is completely observable.
A system is represented by the differential equation y’’+3y’+2y = r’’+2r’+2r.Obtain a state
model in controllable canonical form. Draw the state diagram.

Obtain the state model for the given transfer function

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Explain the procedure of jury test.

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