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EECE 574 - Adaptive Control - Overview - Courses - University of ...

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Dual <strong>Control</strong><br />

Illustration <strong>of</strong> Dual <strong>Control</strong><br />

Consider the simple process<br />

y(t + 1) = y(t) + bu(t) + e(t + 1)<br />

where e(t) is zero-mean white noise N(0, σ), y(t)and u(t) are the<br />

output and the input signals.<br />

One-stage control<br />

Find u(t) that minimizes<br />

I1 = E[y 2 (t + 1)|y(t), u(t)]<br />

Guy Dumont (UBC) <strong>EECE</strong> <strong>574</strong> <strong>Overview</strong> 38 / 49

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