P8 6 The asymptotic log magnitude curves for two loop transfer functions are given in Figure P8 6 Sketch the corresponding asymptotic phase shift curves for each system Estimate the transfer function for each sys tem Assume that the systems have minimum phase transfer functions Magnitude (dB) 20 dB dec 16 dB Magnitude (dB) 0 dB dec i 20 dB dec 0 dB dec w 3 w 6w 8 Frequency (rad sec) (a) 20 dB dec 16 dB 0 dB dec i 20 dB dec w 3 60 6 0 dB dec w 20 dB dec 10 00 14 Frequency (rad sec) (b) FIGURE P8 6 Log magnitude curves 3

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P8 6 The asymptotic log magnitude curves for two loop transfer functions are given in Figure P8 6  Sketch the corresponding asymptotic phase shift curves for each system  Estimate the transfer function for each sys tem  Assume that the systems have minimum phase transfer functions  Magnitude (dB)  20 dB dec 16 dB Magnitude (dB) 0 dB dec i  20 dB dec 0 dB dec w 3 w 6w 8 Frequency (rad sec) (a)  20 dB dec 16 dB 0 dB dec i  20 dB dec w 3 60 6 0 dB dec w  20 dB dec  10 00 14 Frequency (rad sec) (b) FIGURE P8 6 Log magnitude curves  3

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Question: P8.6 The asymptotic log-magnitude curves for two loop transfer functions are given in Figure P8.6. Sketch the corresponding asymptotic phase shift curves for each system.

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