lec 9 block diagram sampled - kaistiris.kaist.ac.kr/download/lec_9.pdf · microsoft powerpoint -...
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Block Diagram Analysis of Sampled Data Systems
ME2025 Digital Control
Jee-Hwan Ryu
School of Mechanical Engineering
Korea University of Technology and Education
Laplace transform of sampled r(t)
We can prove it by Fourier series expansion
Zero Order Holder
ZOHr
T
r* hr
( ) ( ) ( ) ( )( ) ( ) ( ) ( )( )( ) ( ) ( )( )[ ]TktkTtkTx
TtTtTrTttrtr
k
h
111
211110
0
+−−−=
+−−−+−−=
∑∞
=
L
( ){ }
( ){ } ( ) ( )( )
( )∑
∑∞
=
−−
∞
=
+−−
−
−=
−==
=−
0
0
1
1
1
k
kTsTs
k
TskkTs
hh
kTs
ekTrs
es
eekTrsRtrL
s
ekTtL
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