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

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81<br />

82<br />

Parity relations (normal operation)<br />

Autogenerated<br />

parity<br />

relations<br />

r1<br />

= a1( u1, b1( y1))<br />

r2<br />

= a2( u2, b2( y2))<br />

r3 = a3( u3, b3( y3))<br />

r4<br />

=<br />

c4( c2( b3( y3), m7( wm<br />

)), c3( b1( y1), b2( y2),...<br />

m7( wm)), d1( m1( vm)), m3( h2), m6(<br />

cm))<br />

r5 = c5( m3( h2), m6( cm), d2( m5( p2)), m1( vm))<br />

r6<br />

=<br />

c6( c1( b1( y1), b2( y2), b3( y3), m7(<br />

wm<br />

)) ,...<br />

d3( m3( h2)))<br />

r7 = m2( h1, m3( h2))<br />

r = m ( p , m ( p ))<br />

8 4 1 5 2<br />

Auto-generated parity relations<br />

Autogenerated<br />

parity<br />

relations in<br />

”clear”<br />

equation<br />

language<br />

8 2 1<br />

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

r1 = gp( u1)<br />

− y1<br />

r2 = gp( u2)<br />

−y2<br />

r3 = gp( u3) − y3<br />

r4 =<br />

X<br />

−1⎡c ( 1) ( 2)<br />

( ) ⎤<br />

T y + cT y + gw wm<br />

−1<br />

M ⎢ ⎥−A<br />

( h2)<br />

c Y<br />

⎣ cb( y3) + gw(<br />

wm)<br />

⎦<br />

d<br />

− v<br />

dt<br />

r5 =<br />

d<br />

A( h2)<br />

vm + cm − p2<br />

dt<br />

r6= ⎛− lc( 2<br />

1 1) + ( 2)...<br />

⎞<br />

− y Ty lc y Ty<br />

dh2<br />

I ⎜ ⎟−<br />

⎜ N<br />

2<br />

+ ( 3)<br />

+ ( ) ⎟<br />

⎝ lc x <strong>by</strong> gwwm<br />

⎠ dt<br />

r7 = h2 −h1<br />

r = p −p<br />

m m<br />

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

41

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