GATE EC 2015 Set 2 — Question 56
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Control Systems → State-Space Analysis → Solution of State Equations
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Question
The state variable representation of a system is given asThe response is
Correct answer
(D) 0
Solution
Given the state equation and output equation , where
, , and .
The Laplace transform of the state response is .The output in the -domain is :Taking the inverse Laplace transform, .
, , and .
The Laplace transform of the state response is .The output in the -domain is :Taking the inverse Laplace transform, .
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