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Pole-zero phase maps: visualization helps students develop s-plane intuition

This paper illustrates how pole-zero phase maps can help students to determine the phase of a transfer function from a plot of the poles and zeros. This visualization of the phase of L(s) helps students develop s-plane intuition and facilitates the introduction of the analytical tools of classical control, such as Bode plots, Nyquist diagrams, and Evans root-locus plots.