Electrical Engineering > GATE 2019 > Control Systems
Consider a state-variable model of a system
where y is the output, and r is the input. The damping ratio xi and the undamped natural frequency ωn (rad/sec) of the system are given by
A
ξ = β / √α     ωn = √α
B
ξ = √α;     ωn = β / √α
C
ξ = √α / β     ωn = √β
D
ξ = √β;    ωn = √α

Correct : a

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state variable model system dynamics damping ratio natural frequency electrical engineering gate GATE 2019 system response second order system electrical engineering equations

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