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An Introduction to Iterative Learning Control - Inside Mines

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ILC Algorithm Design (cont.)<br />

Extensions (cont.)<br />

4. Exploit the diagonal structure of the multi-loop control system and implement an uncoupled<br />

feedforward approach <strong>to</strong> the input update for the third trial:<br />

u fb<br />

k+1 (t) = ufb<br />

u ff<br />

1<br />

k+1 (t) = −<br />

h1<br />

k (t) + γek(t + 1)<br />

�t−1<br />

n=0<br />

ht+1−nuk+1(n)<br />

uk+1(t) = u fb<br />

k+1 (t) + uff<br />

k+1 (t)<br />

5. The system will demonstrate exact convergence on the fourth trial (the deadbeat pole location<br />

provides convergence one step (trial) after the feedforward correction has been applied).

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