Show PDF File - robotics - Universidad de Zaragoza
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i ∈ V<br />
n 2 log(ɛ −1 ) <br />
ɛ <br />
<br />
<br />
n ∈ N<br />
{p a 1, . . . , p a n} p a i = [x a i , y a i , θ a i ] i ∈ {1, . . . , n} <br />
a m ∈ N <br />
a ∈ V p a a = 03×1 <br />
a = 1 V a = V \{a} <br />
<br />
<br />
<br />
e = (i, j) ∈ E G = (V, E) <br />
z θ e z xy<br />
e j <br />
i Σ z θ e Σ z xy<br />
e zθ ∈ R m zxy ∈ R 2m <br />
Σzθ ∈ Rm×m Σzxy ∈ R 2m×2m m <br />
zθ = (z θ 1, . . . , z θ m) T , zxy = ((z xy<br />
1 ) T , . . . , (z xy<br />
m ) T ) T ,<br />
Σzθ = Diag(Σ z θ 1 , . . . Σ z θ m ), Σzxy = blkDiag(Σ z xy<br />
1 , . . . Σ z xy<br />
m ).<br />
<br />
i ∈ V ˆp a i <br />
<br />
<br />
˜ θ a V ∈ Rn <br />
a V<br />
zxy <br />
<br />
ˆp a V = ((ˆxa V )T , ( ˆ θ a V )T ) T <br />
<br />
<br />
<br />
<br />
˜ θV a ∈ Rn−1 <br />
a