Diagnosis and FTC by Prof. Blanke [pdf] - NTNU

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Single tank system example 5.3
c 1 : ht ()
= qi() t −qo()
t
c 2 : qi( t) = αu(
t)
c 3 : qo() t = k h() t
c 4 : yt () = ht ()
c 5 :
⎧1
if y( t) < h0
ut ( ) = ⎨
⎩0
otherwise
c6: dh() t
h( t)
=
dt
c
c
c
c
c
c
1
2
3
4
5
6
u y h h qi q
0 0 0 1 1 1
1 0 0 0 1 0
0 0 1 0 0 1
0 1 1 0 0 0
0 0 1 1 0 0
Ex. 5.3: structure graph of tank system
c
c
c
c
c
c
1
2
3
4
5
6
u y h h qi q
0 0 0 1 1 1
1 0 0 0 1 0
0 0 1 0 0 1
0 1 1 0 0 0
0 0 1 1 0 0
0
Mogens Blanke – Spring 2006
Every column in the incidence matrix corresponds to a circle vertex.
Every row corresponds to a bar vertex in the bipartite graph.
0
Mogens Blanke – Spring 2006
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