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GATE 2019: Control System Quiz

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Question 1

Find the transfer function for the given block diagram?

Question 2

For state transition coefficient matrix
The state matrix ‘A’ can be

Question 3

The state variable description of a linear autonomous system is X = AX, where X is the two-dimensional state vector and A is the system matrix given by  The roots of the characteristic equation are

Question 4

For a system with the transfer function , the matrix A in the state space from x'' = Ax + Bu is equal to

Question 5

Find the transfer function H(s) = Y(s)/ u(s) for the block diagram?

Question 6

Consider the unity feedback control system described by following state-space equations

If u(t) is unit step input, then the steady state error of the system is
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Sep 21ESE & GATE EE