GATE EE 2023 Set 1 — Question 46
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Control Systems → State-Space Analysis → Transfer Function from States
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Question
Consider the state-space description of an LTI system with matricesFor the input, , , the value of for which the steady-state output of the system will be zero, is ___________ (Round off to the nearest integer).
Correct answer
2 to 2
Solution
The transfer function of the system is given by .
Given , , , .
First, compute :
Now, find :
For the steady-state output to be zero for an input , the magnitude of the transfer function at must be zero:
Setting (since ).
Given , , , .
First, compute :
Now, find :
For the steady-state output to be zero for an input , the magnitude of the transfer function at must be zero:
Setting (since ).
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