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Do we use closed loop or open loop information in Bode plot, Nyquist plot and Root Locus?

Do we use closed loop or open loop information in Bode plot, Nyquist plot and Root Locus?
  1. Is Bode plot for open-loop or closed-loop?
  2. Why Bode plot is drawn for open-loop transfer function?
  3. Is a root locus plot created from the open-loop or closed loop transfer function?
  4. What is the difference between a root locus plot and a Bode plot?

Is Bode plot for open-loop or closed-loop?

Bode plots show us magnitude and phase, but only for an open loop transfer function KG(s) evaluated at s=jω, 0<ω<∞, whereas the root locus, using some open loop L(s), shows the complex trajectory of closed loop poles when ranging some parameter K∈(0,+∞).

Why Bode plot is drawn for open-loop transfer function?

The Bode plot for the open-loop transfer function, i.e. G(s)H(s), gives a convenient way to determine the above parameters and hence the stability of a system. An open-loop gain of 1 is, on the log scale of dB, a gain of 20 lg 1=0 dB.

Is a root locus plot created from the open-loop or closed loop transfer function?

– The Root Locus Plot is a plot of the roots of the characteristic equation of the closed-loop system for all values of a system parameter, usually the gain; however, any other variable of the open- loop transfer function may be used.

What is the difference between a root locus plot and a Bode plot?

Bode plots show the gain-phase relationship with frequency directly and are most useful for compensating fixed-gain amplifiers. Root-locus plots show the closed-loop poles in the s-plane and how these poles vary with loop gain.

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