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Farid Golnaraghi • Benjamin C. Kuo
A fresh new approach to mastering the fundamentals of control systems DOWNLOAD COMPLETE PDF FILE AT - now including a new chapter on virtual lab https://bookpdf.services/downloads/automatic-control-systems-wiley-2009.pdf
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Integrating software and hardware tools, Automatic Control Systems gives engineers an unprecedented ability tu see how the design an
Dr. Farid Golnaraghi is a professor and the Director of Mechatronic Systems Engineering at the Simon Fraser University in Vancouver since 2006. He also holds a Burnaby Mountain endowed Chair at SFU, and his primary research focus is on Intelligent Vehicle Systems. Prior to joining SFU, he was a professor of Mechanical and Mechatronics Engineering at the University of Waterloo. His pioneering research has resulted in two textbooks, more than a hundred and fifty journal and Conference papers, four patents and two start-up companies. Dr. Benjamin C. Kuo is professor emeritus, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign. He is a Fellow of the IEEE and has received many awards on his theoretical and applied research on control systems. He has written numerous papers and has authored more than 10 books on control systems. He has consulted extensively in industry.
ISBN 978 -0 - 4 70-04896-2
90000
G?)WILEY www.wiley.com/ college/golnaraghi
9 780470 048962
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Laplace Transform Table Laplace Transfonn F(s)
Time Function}{!)
1
Unit-impulse function 8(t)
-s1
Unit-step function u5 (t)
1
Unit...ramp function t
s2 n!
t"(n
= positive integer)
8 n+l
1 -s+a
e-«t
1
te-a'
(s + a.)2
n!
t'1 e-at (n = positive integer)
(s + ar+l 1 (s + o:)(s + /3)
_1_(e-at
fJ- Ol
- e-Pt)(a I= IJ)
s (s + a}(s + ,B)
- 1-(pe-Pt - ae-a') (a# fJ)
1
.!.(1 _e-a,)
fJ-a
s(s + a)
a
1
_!_(1 -
a2
s(s+a)2 1
_!_(at- 1 + e-"1 }
s2 (s+ a)
1
s2 (s + a) 2 s
(s + a}2
e-«t - ate-a')
a.2
'
1[t-a+ 2 (t+a2) e-at]
a2
(1 - at)e-a,
Wn
s2
+ w;
s2
+ a>~
sin wnt
s COSW12t
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Laplace Transform Table (cont.)
Laplace Transform F(s)
Time Functionflt)
(J)2
I -
n
s(s2
+w~)
w~(s +a)
Wn
s2 +w; Wn (s + a)(s2
J
a2
+ w~ sin(w11 t + 9)
wheree = tan- 1(wrz/a) -o:I
{J)n
+ ~)
a2 +w,,2
w2n 2 s + 2twns+~
~
e
+J
l
a2+w~
Wn
2
8)
Wnf -
1-
+ 2~wns + w~)
e-Cwntsinw ~ t n
I
JI="? 2
sw; + 2twns + w;,
-W,i
~
(t< I)
e-t;Wnl sirt(wn~
where()= cos- 1t
s2
. (
sm
wheree = tan- 1(wn/a)
w,, s(s2
COSWnl
e-twnt
t+
e)
({< 1)
sin(Wn JI="? t -
())
where&= cos- 1~ (s< 1)
w;(s +a) s2 + 2~wns+~
a2 W11
-
?a{w
~
_
,)
+ w112e-t;w 1sin (W Jt 1 '
where.9 = tan- 1
w; s2 {s2 + 2?;'w11 s + ~)
zs
t--+ w,,
J
11
- t;2 I+())
w11 JI="? (( < 1) a-Cwn
e-l;w,rtsin(wn~ r+e)
Wn~
where.9 = cos- 1(2t2 - 1)
(t < 1)
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DOWNLOAD COMPLETE PDF FILE AT https://bookpdf.services/downloads/automatic-control-systems-wiley-2009.pdf 9THED1T10N
Automatic Control Systems FARID GOLNARAGHI Simon Frase,- University
BENJAMIN C. KUO University of Illinois at Urbarw-Champaign
@ WILEY JOHN WILEY & SONS, INC.
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of" pnrllC11lar 7,edag.ogia1/ a11proocl1 ,,r parllc11/ar 11se of tl,e MATI.AB k .~iftu:ore.
ISBN-13 9i8-04i0-04896-2
Printed in the Unitc:cl Stuks or America 10 9 8 i 6 5 4 3 2 J
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To my wife, Mitra, and to Sophia and Carmen, the joys of my life. -M. Farid Golnaraghi