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Imaginary Axis co N -10 -8 -4 Real Axis Figure Q5 -6 -2 0 (a) Figure Q5 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open- loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q5 for this, use a sketch to show how you obtained the values from the plot.

Imaginary Axis co N -10 -8 -4 Real Axis Figure Q5 -6 -2 0 (a) Figure Q5 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open- loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q5 for this, use a sketch to show how you obtained the values from the plot.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q5 Imaginary Axis A 2 -6 -10 -8 -6 -4 Real Axis Figure Q5 -2 0 (a) Figure Q5 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open- loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q5 for this, use a sketch to show how you obtained the values from the plot.
Transcribed Image Text:Q5 Imaginary Axis A 2 -6 -10 -8 -6 -4 Real Axis Figure Q5 -2 0 (a) Figure Q5 shows the root locus diagram of a system. From the figure, calculate the open-loop transfer function of the system. One extra piece of information you require is that if the open- loop system is subjected to a sudden (step) change in input, then the output settles down at 2.5 times the input step size. (b) If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q5 for this, use a sketch to show how you obtained the values from the plot.
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