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GATE 2024 Control Systems Foundation Quiz 76
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Question 1
A state-space representation of a system is given by 
and 
. The zero input time response of the system is 
sin 
The value of 
is ______.
and . The zero input time response of the system is sin The value of is ______.Question 2
The state equation of an LTI system is
The state transition matrix will be
Question 3
Given 
The response for step input is
Question 4
A controlled process is modelled by the following equations
The control u(t) is obtained from state feedback such that
u(t) = –K1x1(t) – K2x2(t)
Where, K1 and K2 are real constants. The closed loop system is stable in the region
Question 5
The state space representation of a separately excited DC servo dynamics is given as
where w is the speed of the motor, ia is the armature current, and u is the armature voltage.
The transfer function 
of the motor is
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May 29ESE & GATE EC
