# control.matlab.bode¶

control.matlab.bode(syslist[, omega, dB, Hz, deg, ...])[source]

Bode plot of the frequency response

Plots a bode gain and phase diagram

Parameters
• sys (LTI, or list of LTI) –

System for which the Bode response is plotted and give. Optionally a list of systems can be entered, or several systems can be specified (i.e. several parameters). The sys arguments may also be interspersed with format strings. A frequency argument (array_like) may also be added, some examples:

```>>> bode(sys, w)                    # one system, freq vector
>>> bode(sys1, sys2, ..., sysN)     # several systems
>>> bode(sys1, sys2, ..., sysN, w)
>>> bode(sys1, 'plotstyle1', ..., sysN, 'plotstyleN') # + plot formats
```

• omega (freq_range) – Range of frequencies in rad/s

• dB (boolean) – If True, plot result in dB

• Hz (boolean) – If True, plot frequency in Hz (omega must be provided in rad/sec)

• deg (boolean) – If True, return phase in degrees (else radians)

• plot (boolean) – If True, plot magnitude and phase

Examples

```>>> from control.matlab import ss, bode
```
```>>> sys = ss("1. -2; 3. -4", "5.; 7", "6. 8", "9.")
>>> mag, phase, omega = bode(sys)
```

Todo

Document these use cases

• ```>>> bode(sys, w)
```
• ```>>> bode(sys1, sys2, ..., sysN)
```
• ```>>> bode(sys1, sys2, ..., sysN, w)
```
• ```>>> bode(sys1, 'plotstyle1', ..., sysN, 'plotstyleN')
```