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2012 METU Lecture 5 Control of Smart Systems - Department of ...

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Closed Loop System<br />

The expression<br />

Sensor<br />

is referred to as the closed-loop transfer function <strong>of</strong> the system. The numerator is<br />

the forward (open-loop) gain from r to y, and the denominator is one plus the gain in<br />

going around the feedback loop, the so-called loop gain. If , i.e., it has a large norm<br />

with each value <strong>of</strong> s, and if ,<br />

then Y(s) is approximately equal to R(s) and the output closely tracks the reference<br />

input.<br />

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