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b)

a)

b)

F1032

Define controllability and observability of a system and check
೫೨) _

യു Gian) is controllable or

whether the system

not.

Check the stability of the sampled data control system shown
below
z°-0.227-0.25z+0.05=0

Determine the pulse transfer function of the discrete time control
system shown in figure for a sampling time of T=1 sec. Also find
the response to unit step input. The transfer function of the system
is G(s) = 1/(s+1).

c(t)

Derive the state model of an R-L-C series circuit

Consider a linear system described by the transfer function
Y(s)/U(s) =10/[S(S+1)(S+2)]. Design a feedback controller with a
state feedback so that the closed loop poles are placed at -2, -1+]1.

PART 0
Answer any two full questions, each carries 10 marks.

Derive the Describing function of saturation with Dead-zone
nonlinearity.

Consider a unity feedback system shown in figure having a
saturating amplifier with a gain K. Determine the maximum value
of K for the system to be stable. What would be the frequency and

nature of limit cycle for a gain of K=2.5?

1

ட பி

s(1+0,5s)(1+4s)

A linear second order system is described by the equation

€ + 2562 + w2e=0

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