P8.15 To determine the transfer function of a process

G s( ), the frequency response may be measured using a sinusoidal input. One system yields the data in the following table:

w, rad/s 0.1 1 |G(jw)| Phase, degrees 50 -90 5.02 -92.4 245 2.57 -96.4 1.36 -100 1.17 -104 6.3 1.03 -110 00 8 0.97 -120 10 0.97 -143 12.5 0.74 -169 20 0.13 -145 31 0.026 -158 Determine the transfer function G(s).