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Which of the following is considered a time domain technique in control systems?

Which of the following is considered a time domain technique in control systems? Correct Answer Root locus plot

Root locus technique: This is the locus of closed-loop poles, which are nothing but roots of the characteristics equation.

While drawing the root locus, we plot the roots of the characteristic equation as functions of the gain. Hence, It is a time-domain technique.

Bode plot: This plot is the representation of magnitude and phase of G(s)H(s)

Where s = jω, ω → frequency vector contains only positive frequency

This plot consists of two graphs:

Magnitude plot:

Phase plot: ∠G(jω) H(jω) vs log ω

As it involves frequency in plotting, it is also a frequency domain analysis.

Nyquist criteria: It is based on Nyquist plot which is also define for ω = 0+ to ∞+ & ω = ∞-  to 0-.

As this plot also involves magnitude and phase, it is also a frequency domain technique.

Routh-Hurwitz criteria: This technique does not associate with any frequency i.e. does not involve any magnitude and phase at all.

This only involves coefficients of characteristics equation which can get by form proper differential equation.

It gives information about the location of roots without calculating them. 

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