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Refer to block diagram in Figure P5.7 in the text book.
Determine the closed loop transfer function.
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Precalculus
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Comment
Step 2 of 5
Determine steady state tracking error for ramp input.
Substitute
for
.
Thus, steady state tracking error for ramp input is
.
Comments (5)
Step 3 of 5
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Solved: Chapter 5 Problem 7P Solution | Modern Control Systems 13th Edition | Chegg.com
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Step 4 of 5
Determine
.
Refer to Table 5.6 in the text book.
For peak over shoot is
the value of damping is
.
Compare the above transfer function with second order system.
Substitute
for
and
for
.
…… (1)
And,
Substitute
for
.
…… (2)
Comment
Step 5 of 5
Equate equation (1) and equation (2).
Thus, the value of
is
.
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