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TRANSCRIPT
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Outline
Goals
Project Description/Requirements
Block Diagram, Functional Description, Requirements
Equipment
Implementation
Progress Summary
References
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Goals
Decrease the learning curve for the use of the dSPACE
DS1103 Workstation by future students by:
Writing a Tutorial for use of the new DS1103
Workstation.
Designing a controller to control the speed of a DC
motor.
Implementing the controller design using the DS1103
Workstation.
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Suggested DS1103 Uses
Motor Control
Robotics
Automotive
Magnetic Suspension Systems
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Project Description
Block Diagram
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
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Description/Requirements I
ControlDesk software:
Installed on PC.
Downloading, Monitoring, Changing (Speed) Inputs.
Controller:
One or more designs.
Simulink and RTI blocks.
PWM Output.
Optical Encoder Input.
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Description/Requirements II
Motor System:
PWM Signal sent through Control Panel and
Additional Hardware before entering motor.
Optical Encoder:
Optical Encoder Input directly to Incremental
Encoder Input of Control Panel.
CLP1103 LED/Connector Panel:
Connect Inputs/Outputs between DS1103 Board
and Hardware.
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Controller Requirements
DC motor speed controller designed/simulated using
Simulink and dSPACE blocksets, Matlab-to-DSP
interface libraries, the Real-Time Interface to
Simulink, and Real-Time Workshop.
Overshoot less than or equal to 5%.
Rise time less than or equal to 110 ms.
Minimize Steady-state Error.
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Equipment: Workstation
$14,000 dSPACE DS1103 system consisting of:
DS1103 Board.
Expansion Box.
CLP1103 PPC Connector and LED Panel.
ControlDesk Version 3.2.2/Other dSPACE
provided Software Applications.
PC dedicated to the workstation containing
other software applications required
(Matlab/Simulink Version R2008a and libraries).
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DS1103 Workstation
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Equipment: Other
Pittman GM9236C534-R2 DC
Motor.
Magtrol HB-420 Brake.
TIP120 Transistor.
IN4004 Diode.
SN7407 Hex Inverters.
Other electronic components, power
supplies, and measurement devices.
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Implementation
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
Block Diagram
ControlDesk
Simulink Model
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Connector Panel
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
PWM Output to Motor
Incremental Encoder Input
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PWM Output I
pulses_ms_to_Hz
1000
Terminator 1
Terminator
RTI Data
RPM_to_Hz
50 .2996
RPM _in
0
Kz
.010417
K
5871 .7
Hz_to_pulses_ms
.001
Hz_to_RPM
.019881
Hz_DutyCycle
.00003
Ground
Gc
z +1.932751 z+0.9327512
z -1.39989 z+0.3998942
DS1103SL_DSP_PWM
PWM Channel 1
PWM Channel 2
PWM Channel 3
PWM Channel 4
DS1103 ENC_SETUP
ENCODER
MASTER SETUP
DS1103 ENC_POS_C1
Enc position
Enc delta position
0_to_1
DutyCycle
pulses_ms_out
RPM_in pulses_ms_inHz
Hz RPM_out
Kz_out TF_outGain_outSum Duty
PWM Output
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PWM Output II
To Motor
System
(PWM Ch. 1)
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Incremental Encoder Input I
pulses_ms_to_Hz
1000
Terminator 1
Terminator
RTI Data
RPM_to_Hz
50 .2996
RPM _in
0
Kz
.010417
K
5871 .7
Hz_to_pulses_ms
.001
Hz_to_RPM
.019881
Hz_DutyCycle
.00003
Ground
Gc
z +1.932751 z+0.9327512
z -1.39989 z+0.3998942
DS1103SL_DSP_PWM
PWM Channel 1
PWM Channel 2
PWM Channel 3
PWM Channel 4
DS1103 ENC_SETUP
ENCODER
MASTER SETUP
DS1103 ENC_POS_C1
Enc position
Enc delta position
0_to_1
DutyCycle
pulses_ms_out
RPM_in pulses_ms_inHz
Hz RPM_out
Kz_out TF_outGain_outSum Duty
Encoder Input
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Incremental Encoder Input II
From Encoder
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Motor System & Brake
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
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Motor System
Hex Inverters (Buffer), NPN Darlington Transistor, and Diode
-
+
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Unit Step (238.57 RPM) Input
Ch 3: Motor Current
Ch 4: Diode Current
Ch 1: Supply Voltage
Ch 2: Voltage at Collector
MATH: Motor Voltage
Ch 1: PWM
Ch 2: Encoder
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Motor Model
See “Current Motor Model” reference on Reference II slide.
Simulink Model
Transfer Function (Torque components ignored):
178.1776
154.14
4699.19
78.177654.14
502852
ssss
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Motor Model Response
Phase Margin = 84°.
ωc = 279 rad/s
-100
-50
0
50
Magnitu
de (
dB
)
10-1
100
101
102
103
104
105
-180
-135
-90
-45
0
Phase (
deg)
Bode Diagram
Gm = Inf dB (at Inf rad/sec) , Pm = 84 deg (at 279 rad/sec)
Frequency (rad/sec)
ωc
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Brake
Systems Stops at approximately:
0.375 Nm -OR- 50 OzIn
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Speed Input/Output I
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
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Speed Input/Output II
pulses_ms_to_Hz
1000
Terminator 1
Terminator
RTI Data
RPM_to_Hz
50 .2996
RPM _in
0
Kz
.010417
K
5871 .7
Hz_to_pulses_ms
.001
Hz_to_RPM
.019881
Hz_DutyCycle
.00003
Ground
Gc
z +1.932751 z+0.9327512
z -1.39989 z+0.3998942
DS1103SL_DSP_PWM
PWM Channel 1
PWM Channel 2
PWM Channel 3
PWM Channel 4
DS1103 ENC_SETUP
ENCODER
MASTER SETUP
DS1103 ENC_POS_C1
Enc position
Enc delta position
0_to_1
DutyCycle
pulses_ms_out
RPM_in pulses_ms_inHz
Hz RPM_out
Kz_out TF_outGain_outSum Duty
pulses_ms_to_Hz
1000
Terminator 1
Terminator
RTI Data
RPM_to_Hz
50 .2996
RPM _in
0
Kz
.010417
K
5871 .7
Hz_to_pulses_ms
.001
Hz_to_RPM
.019881
Hz_DutyCycle
.00003
Ground
Gc
z +1.932751 z+0.9327512
z -1.39989 z+0.3998942
DS1103SL_DSP_PWM
PWM Channel 1
PWM Channel 2
PWM Channel 3
PWM Channel 4
DS1103 ENC_SETUP
ENCODER
MASTER SETUP
DS1103 ENC_POS_C1
Enc position
Enc delta position
0_to_1
DutyCycle
pulses_ms_out
RPM_in pulses_ms_inHz
Hz RPM_out
Kz_out TF_outGain_outSum Duty
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Controller I
DS1103
Motor System
ControlDesk
(Desired Speed
Input)
Load Applied to
Motor Shaft
By Brake
Optical Encoder
CLP1103
Connector
Panel
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Controller II
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Controller III
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Controller V
Overshoot less than or equal to 5%.
Rise time less than or equal to 110 ms.
Minimize Steady-state error.
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Controller VI
Analog Controller designed and pre-warping and
bilinear methods used to convert to a Digital Controller.
12kHz Sampling Frequency
931.1
9976.01)482282.0(0631.72
6.857
8.28
)000040278.0(
)482282.0(0631.72
zz
zz
ss
s
931.0931.1
9976.00024.0)482282(.0631.72
2
2
zz
zz
Additional Gain adjustments have been made in
MATLAB calculations and Simulink Models.
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-150
-100
-50
0
50
Magnitu
de (
dB
)
100
101
102
103
104
105
-270
-225
-180
-135
-90
Phase (
deg)
Bode Diagram
Gm = 24.2 dB (at 1.22e+003 rad/sec) , Pm = 69.5 deg (at 157 rad/sec)
Frequency (rad/sec)
MATLAB:
Motor Model and Controller
Actual:
Phase Margin = 69.5º.
ωc = 157 rad/s.
Designed for:
Phase Margin = 69.01º.
(5 % O.S.)
ωc = 157.08 rad/s.
(20 ms Rise Time)
ωc
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MATLAB: Step Response
Overshoot = 6%
Rise Time = 8.33 ms
0 200 400 600 800 1000 1200 1400 1600 1800 20000
0.2
0.4
0.6
0.8
1
1.2
1.4
System: sys
Time (sec): 165
Amplitude: 1
System: sys
Time (sec): 249
Amplitude: 1.06
System: sys
Time (sec): 125
Amplitude: 0.901
System: sys
Time (sec): 25
Amplitude: 0.104
Step Response
Samples (sec)
Am
plit
ude
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Simulink: Model I
MATLAB controller with added Gain of 7 Block
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Simulink: Model II
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Simulink: Step Response
238.57 RPM = 1 pulse_in
Overshoot = 5%
Rise Time = 110 ms
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.2
0.4
0.6
0.8
1
1.2
1.4
X: 0.2237
Y: 1.05X: 0.1608
Y: 1.001
X: 0.1242
Y: 0.9009
X: 0.01342
Y: 0.1003
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System Response I
Actual System: ControlDesk
(Possible Time Delay, Rise
Time < 108 ms)
Simulink Simulation
(200 RPM Input, 2.14 second Step Time)
0 0.5 1 1.5 2 2.5 3 3.5 40
50
100
150
200
250
0 0.5 1 1.5 2 2.5 3 3.5 40
50
100
150
200
250
X: 2.141
Y: 0
X: 2.422
Y: 0
X: 3.424
Y: 178.9
X: 3.636
Y: 238.6
X: 2.53
Y: 200
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System Response II
Simulink/Actual System
(RPM Output Only, Rise Time
appears similar)
Actual: Frequency-to-Voltage
Converter
(No Visible Overshoot)
0 0.5 1 1.5 2 2.5 3 3.5 40
50
100
150
200
250
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Project Status: Timeline Week Goal Task Completed
1 January 27 Write tutorial introduction January 22
2 February 3 Verify motor parameters Not Complete
3 February 10
Simulate motor model in MATLAB February 10
Design/Simulate controller in MATLAB March 10
Design/Simulate controller in Simulink April 9
4 - 5 February 24 Make required adjustments to model and download to DS1103 March 12
6 March 3 Design/Build/Test hardware for motor subsystem February 12
7 March 10 Design/Build/Test hardware for optical encoder system February 17
8 - 10 March 31 Make required adjustments to controller model to work with motor
and hardware and download to DS1103 March 12
11 - 13 April 21 Improve controller or Design/Build/Test additional controllers April 23
14 April 28 Work on presentation/final report/tutorial In Progress
15 May 5 Presentation May 5
16 May 11 Final Report Due In Progress
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Project Status
A Controller has been designed and
implemented using the DS1103 Board.
The Controller functions correctly but may not
meet the rise time specification.
The tutorial is still being put together but will be
completed.
The motor/brake model was
verified/developed in a previous project.
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References I
Guides/Manuals:
ControlDesk Experiment Guide For ControlDesk 3.2, Germany:
dSPACE GmbH, 2008, Release 6.1.
dSPACE System First Work Steps For DS1103, DS1104,
DS1005, DS1006, and Micro Auto Box, Germany: dSPACE
GmbH, 2007, Release 6.0.
DS1103 PPC Controller Board Hardware Installation and
Configuration, Germany: dSPACE GmbH, 2007, Release 6.0.
Real-Time Interface (RTI and RTI-MP) Implementation Guide,
Germany: dSPACE GmbH, 2008, Release 6.1.
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References II
dSPACE Product Descriptions:
“DS1103 PPC Controller Board”, Germany: dSPACE, July 2008.
“Connector and LED Panels,” Catalog 2008, Germany: dSPACE GmbH, 2008, p. 302.
Current Motor Model:
Sabbisetti, Amulya Sabbisetti. "Discrete Time Gain Scheduled Adaptive Control of DC Motor Speed", Masters Project Report, Bradley University ECE Department, December 2008.
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Acknowledgments
Mr. Nick Schmidt:
Motor/Brake System Construction
Mr. Mattus:
Initial Setup of DS1103 Workstation
Construction of Slave I/O and Encoder Connectors
Larry Kendrick of Caterpillar:
Funds for purchase of DS1103 system.