The pole-zero diagram shown in Figure 1 describes a particular dynamic system. The transfer function also has a constant gain of 15.

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The pole-zero diagram shown in Figure 1 describes a particular dynamic system.
The transfer function also has a constant gain of 15.
2
Imag
-2
Real
-16
-8
-4
-2
Figure 1: Pole-Zero Diagram of Dynamic System
(a)
Determine the time response of the system to a unit step input from zero initial
conditions.
(b) Explain qualitatively how the location of the zero in the s-plane affects the time
response.
(c)
Take Figure 1 to be the pole-zero diagram of a root locus plot. Sketch the form
of the root locus diagram for this system.
Transcribed Image Text:The pole-zero diagram shown in Figure 1 describes a particular dynamic system. The transfer function also has a constant gain of 15. 2 Imag -2 Real -16 -8 -4 -2 Figure 1: Pole-Zero Diagram of Dynamic System (a) Determine the time response of the system to a unit step input from zero initial conditions. (b) Explain qualitatively how the location of the zero in the s-plane affects the time response. (c) Take Figure 1 to be the pole-zero diagram of a root locus plot. Sketch the form of the root locus diagram for this system.
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