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Observer design by pole placement

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<strong>Observer</strong> <strong>design</strong> <strong>by</strong> <strong>pole</strong> <strong>placement</strong><br />

The condition e(t) → 0 as t → ∞ is a minimum requirement.<br />

In fact we want e(t) → 0 fast<br />

(possibly in a finite (small) number of steps deadbeat observer)<br />

The error dynamics is governed <strong>by</strong> the <strong>pole</strong>s of the matrix<br />

A o := A+LC<br />

so for desired error dynamics we can<br />

select desired <strong>pole</strong> locations of A o and choose L to achieve them.<br />

ELEC 3035 (Part I, Lecture 7) <strong>Observer</strong> <strong>design</strong> 7 / 12

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