BodePlots
Bode plots are graphical representations of the frequency response of a linear time-invariant (LTI) system. A Bode plot consists of two plots: the magnitude plot, showing the gain |G(jω)| in decibels versus the logarithm of angular frequency ω, and the phase plot, showing the phase angle ∠G(jω) in degrees versus log ω. The transfer function G(s) of the system, commonly expressed as a rational function of s, is evaluated on the imaginary axis s = jω to obtain G(jω). The magnitude in decibels is 20 log10|G(jω)|. Frequency is typically plotted on a log scale to cover multiple decades.
Breakpoints occur at poles and zeros of G(s). Each pole adds −20 dB/decade slope to the magnitude,
Bode plots are widely used to assess stability and robustness in control design, by examining gain and
Limitations include reduced information about time-domain behavior, sensitivity to nonlinearity and non-minimum-phase systems, and potential inaccuracies