Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Bode_integral_theorem
|
| gptkbp:appliesTo |
linear time-invariant systems
minimum-phase systems systems with open-loop unstable poles |
| gptkbp:category |
frequency domain analysis
|
| gptkbp:concerns |
trade-off between sensitivity reduction and bandwidth
|
| gptkbp:field |
control theory
|
| gptkbp:form |
\\int_0^\\infty \\log |S(j\\omega)| d\\omega = \\pi \\sum \\text{unstable poles}
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bode sensitivity integral
|
| gptkbp:implies |
limitations on feedback performance
|
| gptkbp:influenced |
robust control
loop shaping |
| gptkbp:namedAfter |
gptkb:Hendrik_Wade_Bode
|
| gptkbp:publishedIn |
gptkb:Bode,_H._W.,_Network_Analysis_and_Feedback_Amplifier_Design,_1945
|
| gptkbp:relatedTo |
gptkb:Nyquist_stability_criterion
gptkb:waterbed_effect frequency response sensitivity function |
| gptkbp:state |
the integral of the log of the sensitivity function over all frequencies is constant for minimum-phase systems
|
| gptkbp:usedIn |
feedback control design
|
| gptkbp:bfsParent |
gptkb:Hendrik_Bode
gptkb:Hendrik_Wade_Bode |
| gptkbp:bfsLayer |
6
|