- Bode Plots : - A student used MATLAB to plot the Bode diagram of four Transfer functions and generate the step response. Unfortunately, the student forgot to label the plots. Match the transfer function, with the correct plots using the table below: 1 5 Transfer Function G₁ = G₂ = (0.1s + 1)² 0.5s² + s Step Response Bode Diagram G3 = 1 s² + 0.5s + 3 G4 = (0.1s + 1) (0.2s + 1) You can easily check this with MATLAB. However, please explain your answer. For instance, in the Bode diagram you can look at the maximum phase, the initial slope of the magnitude plot, etc. In the step response, you can look at the initial slope, the steady state-value. "I used MATLAB" is not an acceptable explanation.
Magnitude (dB) (A) Phase (deg -100 10² -50 Phase (deg) Magnitude (dB) -100 -200 0 (C) 10¹ 101 0 -20 -10 10-1 10⁰ 10⁰ 10⁰ Frequency (rad's) 10⁰ 10¹ Frequency (rad's) Frequency (rad's) 10¹ 10¹ Frequency (rad's) 10¹ 10² 10² 10² 10² Magnitude (dB) Phase (deg) -40 (B) or 2 -100 Magnitude (dB) 10-² -200 3 Phase (deg 10-1 50 -50 (D) 101 -100 -150 -200 10-1 10⁰ Frequency (rad/s) 10⁰ 10¹ 10⁰ Frequency (rad/s) 10¹ 10⁰ 10¹ Frequency (rad's) 10¹ Frequency (rad's) 10 10- 10² 10²
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