Created
April 10, 2024 18:44
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Trying to recall my automatic driving class
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A A B C D D E E F | |
e ---->--->(1+k_1)--->+--->(z^-1/2)--->--->(1+k_2)--->+--->(z^-1/2)---> y | |
| /\ | /\ | | |
| | | | | | |
| | | | | | |
\/ (-k_1) \/ (-k_2) | | |
k_1 /\ k_2 /\ | | |
| | | | | | |
| | | | | | |
| | | | | | |
\/ | \/ | | | |
<-----+<---(1-k_1)<---<---(z^-1/2)<---+<---(1-k_2)<---<---(z^-1/2)<--- | |
Z Y X X W V U U T | |
A = e | |
B = (1+k_1) * e | |
C = (1+k_1)*e - k_1 * ((1-k_2)*y[i-2] + k_2D) | |
(1+k_1)e[i-1] - k_1(1-k_2)y[i-2] | |
D = -------------------------------- | |
1 - k_1*k_2 | |
E = (1+k_2)*D | |
F = y | |
T = y | |
U = y[i-1] | |
V = (1-k_2) * y[i-1] - delay count == 1 | |
W = (1-k_2)*y[i-1] + k_2*D | |
X = (1-k_2) * y[i-2] + k_2*D | |
Y = (1-k_1)((1-k_2)y[i-2] + k_2D) | |
Z = (1-k_1)((1-k_2)y[i-2] + k_2D) + k_1*e | |
(1 - k_2) * y[i-2] + k_2 * (1+k_1) * e[i-1] | |
X = --------------------------------------------------- | |
1 + k_1*k_2 |
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