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τ rise size 12{τ rSub { size 8{ ital "rise"} } } {} = .13 secs
τ fall size 12{τ rSub { size 8{ ital "fall"} } } {} = .23 secs

We used the average of these readings, i.e., (0.13+0.23)/2 = 0.18  and rounded to 0.2 sec. 

Ω s E s = K m 1 1 + m Ω s E s = K m 1 1 + . 2s size 12{ matrix { { { %OMEGA left (s right )} over {E left (s right )} } =K rSub { size 8{m} } { {1} over {1+sτ rSub { size 8{m} } } } {} # dlrarrow {} # { { %OMEGA left (s right )} over {E left (s right )} } =K rSub { size 8{m} } { {1} over {1+ "." 2s} } {}} } {}

Real-time system design

The system design comprises two parts:

  1. Simulation, to determine the parameters of the Speed Control Transfer Function
  2. Hardware Design of the interface circuit.

Simulation

The speed control is a PID controller. A DC motor model (Figure 14) was created. The complete control loop model is shown in Figure 15. Figure 16 shows the parameters chosen for the PID controller.

DC Motor Model
Loop Control Model
PID Controller Parameters

Hardware design

The connection between the eZDSP and the Motor Kit requires a dedicated interface circuit, implementing the Low Pass Filter (used for the Digital to Analog conversion) and adapting the voltage levels at the eZDSP (0 to 3V) to those of the DC Motor Kit (0-15V). The various signal types and their voltage range are shown in .

The interface circuit contains two blocks. The first is LPF with an amplifier (shown in Figure 18), connected between the PWM output and the servo amplifier input. The second block is an attenuator (shown in Figure 19) connected between the tachometer output and the Analog to Digital Input of the eZDSP.

Signal Types and Voltage Levels

LPF + Amplifier Circuit
The Inverting Amplifier with LPF

Real time implementation

The control loop was implemented in the eZDSP F2812 as shown in Figure 20. The PID controller obtained in the previous chapter was implemented in the DSP. The environment is shown in Figure 21.

The real-time implementation model will be created from the "DC Motor Speed Control via RTDX" SIMULINK demo. In the original demo model the loop is closed by QEP block, we will use a tachometer connected to the Analog to Digital Converter module for speed measurement.

The Model and its subsystems are shown in Figures Figure 22, Figure 23 and Figure 24.

LPF + Amplifier Circuit>

Procedure:

  1. Navigate into the following directory:

..\MATLAB\R2006b\toolbox\rtw\targets\tic2000\tic2000demos

  1. Copy the following files into your working directory:
    • c2812speedcontrolDC.mdl
    • runc2812speedcontrolDC.m
    • runc2812speedcontrolDC.m
    • Open the c2812speedcontrolDC.mdl model and save it as "DCMotorControlc2812.mdl"(please refer to Figure 21 The model is shown here after deleting the “Info” box. ).
    Real-Time Implementation Model
  2. Double-click the Speed Correction Block, and you will see:
    Figure 22: Speed Control
  3. Configure the C28x PWM block as follows:
    Figure 23: PWM Configuration
  4. Configure the "PID Controller" block as follows:
    PID Configuration
  5. Double-click the Speed Correction Block, and you will see:
    QEP Based Speed Measurement
  6. Delete the selected blocks and replace them by the ADC block from Open the ADC block from the C281x Chip support group from the C2000 Target Preferences, and connect is as follows:
    ADC+Tachometer Based Speed Measurement
  7. Now the model is ready for real-time, we need however to update the MATLAB script file. Open the “Model Properties” from “File” menu. Change the PostLoadFcn callback to runc2812speedcontrolIDC, as shown:
    Model Callback
  8. The next step is to change the original PWM range (up to 64000) to the desired range (up to 4000). Open the “speddControlIDCLoop.m” file with the MATLAB editor, an change on line 48 the command: cycle = (double(pid).*100./64000);to cycle = (double(pid).*100./4000); Please refer to the following picture:
    Changing the PWM range
  9. Activate the motor
  10. Activate CCS.
  11. Click the Build/Reload&Run box, the following window should appear:
    Speed Control GUI
  12. You may change the speed of the motor using the slider in the right hand side and the “Apply” button.

References

  1. "eZdspTM F2812 Technical Reference", Spectrum Digital, 2003 (External Link)
  2. David M. Alter, " Using PWM Output as a Digital-to-Analog Converter on a TMS320F280x", TI Application Report SPRAA88 , September 2008 (External Link)

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
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Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
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David Reply
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David
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emma Reply
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what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
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Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
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answer
Magreth
progressive wave
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Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
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Source:  OpenStax, From matlab and simulink to real-time with ti dsp's. OpenStax CNX. Jun 08, 2009 Download for free at http://cnx.org/content/col10713/1.1
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