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I try to estimate a system transfer function by hand calculation from a bode plot data but I could not succeed yet and I need someone help.

it will be appreciated if anyone explains or refer me to a source where I can learn to estimate the TF with Matlab tools/codes (I couldn't do it with system identification toolbox)

frequencies (rad/s): 0.5 ; 1 ; 2 ; 3 ; 4 ; 5 ; 7.5; 10 ; 15 ; 30 ; 50

magnitudes (dB) : 12 ; 6 ; 0 ; -3 ; -14 ; -20 ; -26 ; -30 ; -30 ; -34 ; -40

phase (degree) :-37 ; -54; -109 ; -112 ; -103; -106; -107; -86 ; -86 ; -86 ; -86

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  • $\begingroup$ Did you try plotting the values on a semilog plot (frequencies on the log axis)? And look for the -3dB points and the phase angles at those points? $\endgroup$ – SteveO Sep 18 '19 at 3:32
  • $\begingroup$ Yes I did and I try to estimate it as a normal minimum phase system by hand calculation but the magnitute slopes and phase are not correlated (+-20dB//+-90 deg). it seems like system has transport delay or a non-minimum phase system which has pole or zero on the right hand side. Therefore, I thought I need algorithm or a toolbox to exactly estimate it. $\endgroup$ – lsn Sep 18 '19 at 18:19
  • $\begingroup$ Is this approximated first order bode? Can you solve it by hand? $\endgroup$ – morbo Sep 18 '19 at 23:36

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