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timeDomain - Time-domain specications and the corresponding...

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Time-domain specifications and the corresponding pole locations (second-order systems) ECSE 404 (Control Systems) Consider the transfer function H ( s ) = b ( s ) a ( s ) = ω 2 n s 2 + 2 ζω n s + ω 2 n . The poles p 1 , 2 = - σ ± d of H ( s ) are related to the coefficients of a ( s ) according to the following diagram: ω n ω d σ θ = sin - 1 ζ Im( s ) Re( s ) Let t r be the rise time, then t r
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