1. Example Combination of Systems Transfer Function:
Plot the straight line approximation of G(s)’s Bode diagram:

2. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

3. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

4. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

5. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

6. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

7. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

8. 40 20 Magnitude (dB) -20 -40 -60 -80 180 90 Phase (deg) -90 -180 -27020 40
Magnitude (dB) 10 -1 1 2 3
-270
-180
-90 90
180
Frequency (rad/sec)
Phase (deg)

9. 100 80 Magnitude (dB) 60 40 20 -20 90 45 Phase (deg) -45 -90 -135 1020 40 60 80
100
Magnitude (dB) 10 -1 1 2 3
-135
-90
-45 45 90
Frequency (rad/sec)
Phase (deg)

10. 20 Magnitude (dB) -20 -40 -60 -80 -100 90 45 Phase (deg) -45 -90 -135
-20
Magnitude (dB)
-40
-60
-80
-100 90 45
Phase (deg)
-45
-90
-135 10 -1 1 2 3
Frequency (rad/sec)

11. 100 80 Magnitude (dB) 60 40 20 -20 90 45 Phase (deg) -45 -90 -135 10
-20 90 45
Phase (deg)
-45
-90
-135 10 -1 1 2 3
Frequency (rad/sec)