lec24 - Return to Heating System Delay Room K d (s) 1 s 1 +...

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Systems with Time Delays Ex: Heating System Slide 1 ME 475 Session 24: Time Delay Galen King Purdue University Furnace Room
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Systems with Time Delay 0.6 0.8 1 Room Step Response Slide 2 ME 475 Session 24: Time Delay Galen King Purdue University 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 0.2 0.4
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Feedback Control of Heating System Room Dynamics K θ d (s) θ (s) + - Controller Slide 3 ME 475 Session 24: Time Delay Galen King Purdue University
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Heating System Response Step Response Amplitude 0.5 1 Slide 4 ME 475 Session 24: Time Delay Galen King Purdue University Time (sec) 0 50 100 150 200 250 300 0 Step Response Time (sec) 0 50 100 150 200 250 300 -2 0 2 4
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Define a Time Delay Element X(s) Y(s) Time Delay Slide 5 ME 475 Session 24: Time Delay Galen King Purdue University
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Approximating Time Delay 1 1 e Ts = - or Ts 1 ) Ts ( Ts 1 e 2 2 1 Ts - - + - = - Slide 6 ME 475 Session 24: Time Delay Galen King Purdue University Ts 1 ) Ts ( Ts 1 2 2 1 + + + + ( 29 ( 29 ( 29 ( 29 + + + - + - = - 2 2 Ts 2 1 2 Ts 2 2 Ts 2 1 2 Ts Ts 1 1 e
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Time Delay in Frequency Domain ϖ - - = ϖ = Tj T Ts T e ) j ( G e ) s ( G Slide 7 ME 475 Session 24: Time Delay Galen King Purdue University
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Unformatted text preview: Return to Heating System Delay Room K d (s) 1 s 1 + (s) +-G T Controller Slide 8 ME 475 Session 24: Time Delay Galen King Purdue University Heating System w/o Time Delay-5 5 10 15 Bode plot for 5/(100s+1) Magnitude (dB) Slide 9 ME 475 Session 24: Time Delay Galen King Purdue University 10-3 10-2 10-1-10 Frequency (rad/sec) 10-3 10-2 10-1-360-315-270-225-180-135-90-45 Frequency (rad/sec) Phase (deg) Heating System with Time Delay-5 5 10 15 Bode plot for 5exp(-50s)/(100s+1) Magnitude (dB) Slide 10 ME 475 Session 24: Time Delay Galen King Purdue University 10-3 10-2 10-1-10 Frequency (rad/sec) 10-3 10-2 10-1-360-315-270-225-180-135-90-45 Frequency (rad/sec) Phase (deg) Adjust K for PM = 45 Slide 11 ME 475 Session 24: Time Delay Galen King Purdue University...
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lec24 - Return to Heating System Delay Room K d (s) 1 s 1 +...

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