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

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87<br />

88<br />

Properties of the faulty system<br />

A salient feature of SaToo is the ability to analyze the faulty<br />

system with several simultaneous faults present.<br />

When f1 <strong>and</strong> f2 have happened, what if f3 is a fault in a1, a2, a3, ..<br />

f1<br />

a3<br />

f2<br />

m5<br />

m6<br />

m7<br />

a<br />

1<br />

i<br />

i<br />

i<br />

a<br />

2<br />

i<br />

i<br />

i<br />

a<br />

3<br />

-<br />

-<br />

-<br />

b<br />

1<br />

i<br />

0<br />

i<br />

b<br />

2<br />

i<br />

0<br />

i<br />

b<br />

3<br />

d<br />

d<br />

d<br />

Essentials from the structure graph<br />

c<br />

1<br />

d<br />

i<br />

d<br />

Auto-generated parity relations for diagnosis !<br />

Controlability (structural): are unknown variables<br />

reachable from input variables ?<br />

Monitorability: are constraints reachable from<br />

measured variables ?<br />

c<br />

2<br />

d<br />

d<br />

d<br />

f3<br />

c<br />

3<br />

d<br />

d<br />

d<br />

m<br />

1<br />

d<br />

0<br />

d<br />

m<br />

2<br />

i<br />

i<br />

i<br />

m<br />

3<br />

i<br />

0<br />

i<br />

m<br />

4<br />

i<br />

i<br />

i<br />

m<br />

5<br />

-<br />

0<br />

0<br />

m<br />

6<br />

d<br />

-<br />

d<br />

m<br />

7<br />

0<br />

d<br />

-<br />

#<br />

6<br />

6<br />

6<br />

Mogens <strong>Blanke</strong> – Spring 2006<br />

Detectability: does the constraint enter into any of the<br />

parity relations ?<br />

Isolability: is there a unique signature in the set of<br />

parity relations <strong>by</strong> a particular fault (violation of<br />

particular constraint) ?<br />

Mogens <strong>Blanke</strong> – Spring 2006<br />

44

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