Pressure System Proportional Control Design, Modeling

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-Pressure
System- Proportional Control Design, Modeling
Experiments

• Cory Richardson
• Dennis To
• Jamison Linden
• 11/15/2009, UTC, ENGR-329

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Contents

• Background, Schematics
• Previous work
• SSOC, Step Response
• Sine Response, Bode graphs,
• Root Locus
• Proportional Only Controller
• Proportional Integral Controller
• Root Locust Model
• Experimental
• Conclusions and Recommendations

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Background - System
                                                
                                                  
                                                  
                             Figure 1. Schematic
diagram of the Dunlap Plant Spray-Paint Booths
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Background - Block Diagram
                                                
                                                  
                                                 
Figure 2. Block diagram of paint booth system

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Background - SSOC
Operating Range for Output
Operating Range for Input
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Transfer Function
m(s) Input
c(s) Output
Transfer Function
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Feedback Control
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Background Step Response
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Background Step Response Results

• Experimental results
• K 0.1 0.3 (cm-H2O/)
• t0 0.5 s
• t 1.7 s
• Model results
• K 0.1 0.3 (cm-H2O/)
• t0 0.48 s
• t 1.75 s

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Frequency Response - Example
T (25.3)
Dc (1.45)
Dm (15)
t (-1.8)
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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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System

• 2nd order system
• fu 0.85 Hz
• From the model
• K 0.1 0.35 (cm-H2O/)
• t0 0.85 s
• t 1.7 s
• Kcu 18.2 55.6 (/cm-H2O)

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Kc Locations 45-60
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Kc for Different Operating Ranges-based on the
model-
all units are /cm H2O
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Determination of P-only Kcu, fu

• 45-60
• Bode 180 /cm-H2O, 0.8 Hz
• Experimental 180 /cm-H2O, 0.33 Hz
• 60-75
• Bode 67 /cm-H2O, 0.8 Hz
• Experimental 67 /cm-H2O, 0.4 Hz
• 75-90
• Bode 42 /cm-H2O, 0.8 Hz
• Experimental 42 /cm-H2O, 0.42 Hz

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Dampers were closed for 25 seconds, then opened.
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Dampers were closed for 25 seconds, then opened.
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Dampers were closed for 25 seconds, then opened.
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P-Only Conclusions

• 45 60 operating range
• The model ceases to match the system at a Kc
  value of approximately 20.
• 60 - 75 operating range
• The model ceases to match the system at a Kc
  value of approximately 14.

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P-only Conclusions

• 75 90 operating range
• The model ceases to match the system at a Kc
  value of approximately 8.

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System Recommendations (P-only)
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PI Controller Design Parameter

• FOPDT Parameter
• t1.7 sec.
• To0.8 sec
• K 0.1-.035 (cm-H20/
• 2nd Order system
• FOPDT Parameter to Find
• Kc
• ti

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Root Locus Plots
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Root Locus
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Root Locus
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PI Controller

• Direct Substitution Results
• Routh Method Results

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Disturbance Response 45-60
Damper closed for 30 seconds then opened for
remainder of experiment
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Reset Wind-up 45-60 input
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Conclusion

• Final FOPDT Parameter
• Taui3 sec.
• Kc 8
• These values will give stable operation
  throughout all ranges