lec 9 block diagram sampled - kaistiris.kaist.ac.kr/download/lec_9.pdf · microsoft powerpoint -...
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![Page 1: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/1.jpg)
Block Diagram Analysis of Sampled Data Systems
ME2025 Digital Control
Jee-Hwan Ryu
School of Mechanical Engineering
Korea University of Technology and Education
![Page 2: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/2.jpg)
Laplace transform of sampled r(t)
![Page 3: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/3.jpg)
We can prove it by Fourier series expansion
![Page 4: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/4.jpg)
![Page 5: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/5.jpg)
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
![Page 6: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/6.jpg)
![Page 7: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/7.jpg)
![Page 8: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/8.jpg)
![Page 9: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/9.jpg)
![Page 10: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/10.jpg)
![Page 11: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/11.jpg)
![Page 12: Lec 9 Block Diagram Sampled - KAISTiris.kaist.ac.kr/download/lec_9.pdf · Microsoft PowerPoint - Lec_9 Block Diagram Sampled Author: jhryu Created Date: 4/25/2007 9:10:23 PM](https://reader035.vdocuments.net/reader035/viewer/2022081523/5fd9eda58fb1870a617bcd05/html5/thumbnails/12.jpg)