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Cruise Control
Outline
►Introduction to Cruise Control
►CC Modeling
►CC Simulation
►Introduction to Adaptive Control
►ACC Modeling
►ACC Simulation
Cruise Control System
► Input: buttons on the
steering wheel, brake,
clutch, gas pedal and
feedback signal
► Processor
► Sensor
► Output: the throttle
position
Modeling
m s V s( ) b V s( ) U s( )
Newton’s Second Law:
m
dv
dt
 b v t( ) u t( )
Laplace Transform:
Transfer Function
Y s( )
U s( )
1
m s b
Design Specification
►Rise time < 5 sec
►Overshoot < 10%
►Steady-State Error < 2%
Open-Looped System
Closed-Loop w/ PI Control
Kp = 100 Kp = 800 and Ki = 40
weight of the car
m = 500 kg
PI Control: Kp = 800 and Ki = 40
m = 2000 kg
Adaptive Cruise Control
►So-called Active Cruise Control (ACC)
►Traffic flow characteristics
►Collision-avoidance system
►Not to be considered as a safety feature by
automakers
Background
►First laser-based system – Toyota’s
Progress, a compact luxury sedan, in 1998
►First radar-based system – Nissan’s Cima
41LV-2, a luxury sedan
►First American ACC model – Lexus’ LS 430,
in 2000
Function
► Preset and maintain the car speed
► Measure the distance to the preceding car and the
relative speed
► Adjust the car speed accordingly
► Maximum deceleration = 3.5m/s^2
Adaptive Cruise Control
►Change gear automatically
►Function properly in poor weather condition
►Cannot pick up non-moving objects
►Effective in the speed between 30km-
180km/h
Two types of ACC
►Radar-Based System
– Three overlapping radar-beams (76-77kHz)
-- Detects moving object up to 120 m
– work in poor weather conditions
►Laser-Based System (lidar)
– less expensive and easier to package
– light beams are narrower than water droplet
and snowflakes
Radar-based Adaptive Cruise Control
Modeling in Highway Merging
rd t( ) 6.33 v
0.48
 2
By R. Sengupta and Q. Xu
ades t( ) kv
t
r t( )
d
d
 kp r t( ) rd t( ) 
ACC Controller
Desired Range
Highway Merge-In Scenario
►1. At 0 sec, the preceding vehicle is
traveling 12.5 m/s
►2. The follower vehicle w/ACC is 150 m
behind the preceding vehicle and is
traveling at 25 m/s
►3. At 10 sec, the third vehicle cut in in
between the two vehicles
Simulation in Highway Merging
By R. Sengupta and Q. Xu
Acceleration
Dotted Line = Desired Acceleration
Solid Line = Actual Acceleration
By R. Sengupta and Q. Xu
Implementation
Distance Source Distance Source
ACC Response CC Response (for comparison)
Cruise control

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Cruise control

  • 2. Outline ►Introduction to Cruise Control ►CC Modeling ►CC Simulation ►Introduction to Adaptive Control ►ACC Modeling ►ACC Simulation
  • 3. Cruise Control System ► Input: buttons on the steering wheel, brake, clutch, gas pedal and feedback signal ► Processor ► Sensor ► Output: the throttle position
  • 4. Modeling m s V s( ) b V s( ) U s( ) Newton’s Second Law: m dv dt  b v t( ) u t( ) Laplace Transform:
  • 5. Transfer Function Y s( ) U s( ) 1 m s b
  • 6. Design Specification ►Rise time < 5 sec ►Overshoot < 10% ►Steady-State Error < 2%
  • 8. Closed-Loop w/ PI Control Kp = 100 Kp = 800 and Ki = 40
  • 9. weight of the car m = 500 kg PI Control: Kp = 800 and Ki = 40 m = 2000 kg
  • 10. Adaptive Cruise Control ►So-called Active Cruise Control (ACC) ►Traffic flow characteristics ►Collision-avoidance system ►Not to be considered as a safety feature by automakers
  • 11. Background ►First laser-based system – Toyota’s Progress, a compact luxury sedan, in 1998 ►First radar-based system – Nissan’s Cima 41LV-2, a luxury sedan ►First American ACC model – Lexus’ LS 430, in 2000
  • 12. Function ► Preset and maintain the car speed ► Measure the distance to the preceding car and the relative speed ► Adjust the car speed accordingly ► Maximum deceleration = 3.5m/s^2
  • 13. Adaptive Cruise Control ►Change gear automatically ►Function properly in poor weather condition ►Cannot pick up non-moving objects ►Effective in the speed between 30km- 180km/h
  • 14. Two types of ACC ►Radar-Based System – Three overlapping radar-beams (76-77kHz) -- Detects moving object up to 120 m – work in poor weather conditions ►Laser-Based System (lidar) – less expensive and easier to package – light beams are narrower than water droplet and snowflakes
  • 16. Modeling in Highway Merging rd t( ) 6.33 v 0.48  2 By R. Sengupta and Q. Xu ades t( ) kv t r t( ) d d  kp r t( ) rd t( )  ACC Controller Desired Range
  • 17. Highway Merge-In Scenario ►1. At 0 sec, the preceding vehicle is traveling 12.5 m/s ►2. The follower vehicle w/ACC is 150 m behind the preceding vehicle and is traveling at 25 m/s ►3. At 10 sec, the third vehicle cut in in between the two vehicles
  • 18. Simulation in Highway Merging By R. Sengupta and Q. Xu
  • 19. Acceleration Dotted Line = Desired Acceleration Solid Line = Actual Acceleration By R. Sengupta and Q. Xu
  • 21. Distance Source Distance Source ACC Response CC Response (for comparison)