USE EXCEL i dont get what you mean!!! An industrial plant has the following transfer function:...

Frequency analysis for K=1.

The calculation and plot has been done using MATLAB software.

Plots for gain K=12. Shown below

gain margin and phase margin is calculated below:

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Is)= sCs41 Cs+3) Root t0 cus poles 0,-1,3 . O-1-3 Real part of polas teos 3 - 4 1.33 3 B racle Cusay poi AP chata. es: d SP S -0.4s away points Brake j9 -1.33 -3 -3 fassecrp Ayptots (2741) No t 180 1 186 3 at 60 0, 3oo 26-06-19 00:32

Root Locus 8 2 .4 -8 -10 -5 0 Real Axis (seconds Imaginary Axis (seconds )

Nyquist Diagram 10 5 -5 -10 -1 -0.8 0.4 -0.2 -0.6 0 Real Axis Imaginary Axis

Nichols Chart 40 0,25 dB 20 1 -l dB 3 dB -6 dB 12 dB -20 dB 20 40 dB 40 60 dB -60 +80 dB -80 100 dB -100 -120 dB -120 -140 dB -140 -360 -225 -45 -315 -270 180 -135 -90 0 Open-Loop Phase (deg) Open-Loop Gain (dB)

Bode Diagram 50 10 -50 -100 -150 -90 -180 -270 102 100 Frequency (rad/s) 10 101 102 Phase (deg) Magnitude (dB)

Nyquist Diagram 80 0 dB 60 40 20 2 dB -2 dB -40 -60 -80 -4 0 Real Axis Imaginary Axis

Nichols Chart 60 40 -0 dB 0.5 d825 dB 20 -1 dB 3 dB -6 dB 12 dB -20 dB 9 -20 -40 40 dB -60 dB -60 -80 dB -80 100 dB -100 -120 dB -120 -360 -225 -45 0 -315 -270 180 -135 -90 Open-Loop Phase (deg) Open-Loop Gain (dB)

Bode Diagram 100 50 -50 -108 -180 -270 101 10 102 10 Frequency (rad/s) 10 Phase (deg) Magnitude (dB)

(For gain Majin phaae freyuenuy pe thut crossover 186 er 1 for phase ragn tg Jain Crosjover thi 1 hen 180 Caleuulatedd usiny MATLAG GM. Cnd P.M M. =12 For k-1 66.440 PM. For k12 4 o 4.28 K10 12 PM 26-06-19 00:40