MIT16_30F10_lec20

# MIT16_30F10_lec20 - Topic#20 16.30/31 Feedback Control...

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Unformatted text preview: Topic #20 16.30/31 Feedback Control Systems Digital Control Basics • Effective Delay Emulation • Fall 2010 16.30/31 20–1 Digital Control Control picture so far • d r G c ( s ) G p ( s ) e u y − Can implement this using analog circuits, but as you have seen, there • are many advantages to implementing these using a computer – much more ﬂexible In this case the new picture is: • G c ( s ) D2A A2D G p ( s ) A2D r ( t ) e k u k u ( t ) y ( t ) y k − Digital Computer November 5, 2010 Fall 2010 16.30/31 20–2 Digital Control Mechanics • Digital/discrete control runs on a clock • Only uses the input signals at discrete instants in time • So continuous e ( t ) is sampled at fixed periods in time e ( kT s ) • Where T s is the sampling period and k is an integer • Must also get information into and out of the computer • Requires A/D and D/A operations • The A/D consists of 2 steps: 1. Convert a physical signal (voltage) to a binary number, which is an approximation since we will only have a 12-16 bits to cover a ± 10 V range. 2. Sample a continuous signal e ( t ) every T s seconds so that y ( t ) y ( k ) ⇒ 3. Sampler clearly ignores a large part of the continuous signal....
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MIT16_30F10_lec20 - Topic#20 16.30/31 Feedback Control...

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