S s 5 s 50 2500 gs ss 5s 50 12132008 hsk

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Unformatted text preview: e GH plot this is the distance, in dB, from the magnitude dB curve up to 0dB when the angle curve crosses −180° . – Phase Margin: the additional phase lag required to make /GH(jω) = −180° when | GH(jω) | = 1. On the GH Bode plot this is the distance in degrees from the phase curve to −180° when the gain curve crosses 0dB. 12/13/2008 HSK - EPM 381 - Stability 33 Gain and phase margins Gain crossover Phase crossover Im G(s) Gain margin -1 ω180 φm Re G(s) Phase margin 12/13/2008 HSK - EPM 381 - Stability 34 Gain margin and phase margin on the Bode plot 12/13/2008 HSK - EPM 381 - Stability 35 Examples Calculate the gain and phase margins of the following system from frequency response 2500 . s ( s + 5)( s + 50) 2500 . G(s) = s(s + 5)(s + 50) 12/13/2008 HSK - EPM 381 - Stability 36 Example (Cont.) 12/13/2008 HSK - EPM 381 - Stability 37 Examp...
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