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Flight Dynamics Principles, 2nd Edition
book

Flight Dynamics Principles, 2nd Edition

by Michael V. Cook
February 2011
Beginner to intermediate content levelBeginner to intermediate
488 pages
17h 21m
English
Butterworth-Heinemann
Content preview from Flight Dynamics Principles, 2nd Edition
App-11-H6927.tex 11/7/2007 11: 10 Page 451
Appendix 11
The Root Locus Plot
MATHEMATICAL BACKGROUND
Given the general closed loop system transfer function
r(s)
c(s)
=
G(s)
1 + G(s)H (s)
(A11.1)
where r is the response to a command input c, G(s) is the transfer function of the open
loop system and H(s) is the transfer function of the feedback controller located in the
feedback path. The closed loop characteristic equation is given by the denominator
of equation (A11.1)
1 + G(s)H (s) = 0 (A11.2)
Now, in general, the transfer function product G(s)H(s) will itself be a transfer
function and may be expressed as the ratio of two polynomials
G(s)H (s) =
K
1
(1 + sT
1
)(1 ...
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Publisher Resources

ISBN: 9780750669276