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Introduction to Robotics.
Sensors and Actuators
Introduction to Computer Vision and Robotics
Tomas Kulvicius
Large portion of slides are adopted from Florentin Wörgötter, John Hallam and Simon Reich tkulvic@gwdg.de
Perception-Action loop
Environment
Object
Arm
Action
Eyes
Perception
Brain
Perception-Action loop (cont.)
Sense
Plan
Act
Environment
Cameras
Computer
Robot-arm
Object
Perception
Action
Introduction to Robotics
• Karel Čapek was one of the most influential Czech
writers of the 20th century and a Nobel Prize nominee
(1936).
• He introduced and made popular the frequently used
international word robot, which first appeared in his play
R.U.R. (Rossum's Universal Robots) in 1921.
• “Robot” comes from the Czech word “robota”, meaning
“forced labor”
• Karel named his brother Josef Čapek as the true inventor
of the word robot.
History of robotics
1890-1938
1. A robot may not injure a human being or, through inaction, allow a
human being to come to harm.
2. A robot must obey orders given to it by human beings, except where
such orders would conflict with the First Law.
3. A robot must protect its own existence as long as such protection
does not conflict with the First or Second Law.
• The word "robotics" also comes from science fiction - it
first appeared in the short story "Runaround" (1942) by
American writer Isaac Asimov.
• This story was later included in Asimov's famous book
"I, Robot."
• The robot stories of Isaac Asimov also introduced the
"three laws of robotics."
History of robotics (cont.)
1920-1992
• The book of „Ingenious Devices“ (arabic: ‫الحيل‬ ‫كتاب‬ , Kitab al-Hiyal)
has been published in around 850 by the three persian brothers
Banu Musa (Ahmad, Muhammad and Hasan bin Musa ibn Shakir)
• It describes more than 100 complex automata
Water clock
Self-
regulating oil
lamp
Early automata
• 1497, Leonardo da Vinci: Clocks, self-driven cart,
robotic-knight, etc.
Early automata (cont.)
• 1738, Jacques de Vaucanson: Player of the transverse flute,
replica of the human mouth.
Early automata (cont.)
• 1769, Baron von Kempelen: The Mechanical Turk (chess player)
• 1774, Pierre and Henri-Louis Jacquet-Droz: „Sketcher“, „Writer“ und „Musician (puppets)“,
could be programmed using different program drums
Early automata (cont.)
William Grey Walter (Februar 19, 1910 - Mai 6, 1977)
Elmer, ca. 1949
Phototaxis &
“Homing”
Early robots
Modern robots – Industry
Modern robots – Service
IRobot Roomba – vacuum
cleaner robot
Chover – glass cleaner robot
Husqvarna Automower – gras
cutter robot
Modern robots – Entertainment
Aldebaran Nao – small
humanoid robot
Sony Aibo – dog robot
Modern robots – Care robots
ROBEAR, Riken
Care-O-bot, Fraunhofer IPA
Modern robots – Research robots
• Bio-inspired robotics
• Build robots which have
similar morphology and/or
functions as animals
• Biorobotics
• Build robots in order to
understand “How animals
work”
AMOS II, BCCN
StickyBot,
Stanford Uni
Runbot, BCCN
Six-legged, EPFL
Robot dog, Boston Dynamics
Snake robot,
Kyoto Uni
Robotic fish, MIT
BionicOpter,
Festo
E-puck, EPFL
Modern robots – Humanoid robots
Are robots intelligent?
What is intelligence?
What is intelligence? (cont.)
• Ability to perceive information and use it as knowledge for
adaptive behaviors within an environment
• Logic
• Abstract thought
• Understanding
• Self-awareness
• Communication
• Learning and memory
• Emotions
• Planning
• Creativity
• Problem solving
Definition: What is AI?
Definition: What is AI? (cont.)
• John McCarthy, who coined the term in 1955, defines it as "the
science and engineering of making intelligent machines“
• J. McCarthy developed LISP
programming language
1927-2011
Definition: What is AI? (cont.)
• “The exciting new effort to make computers think ... machines with minds, in the
full and literal sense” (Haugeland, 1985; coined the term GOFAI)
• “The automation of activities that we associate with human thinking, activities
such as decision-making, problem solving, learning ...” (Bellman, 1978)
• “The art of creating machines that perform functions that require intelligence
when performed by people” (Kurzweil, 1990)
• The study of how to make computers do things at which, at the moment, people
are better” (Rich and Knight, 1991)
Definition: What is AI? (cont.)
• “The study of mental faculties through the use of computational models”
(Charniak and McDermott, 1985)
• “The study of the computations that make it possible to perceive, reason, and
act” (Winston, 1992)
• “A field of study that seeks to explain and emulate intelligent behavior in terms of
computational processes” (Schalkoff, 1990)
• “The branch of computer science that is concerned with the automation of
intelligent behavior” (Luger and Stubblefield, 1993)
Artificial intelligence as engineering
• How can we make computer based systems more intelligent?
• Ability to automatically perform tasks that currently require human
operators
• More autonomy in computer systems; less requirement for human
intervention or monitoring
• More flexibility in dealing with variability in the environment in an
appropriate manner
• Systems that are easier to use by understanding what the user wants from
limited instructions
• Systems that can improve their performance by learning from experience
History of AI
• Aristotle – more than 2000 years ago
• Propositional logic (modus ponens) using
deductive reasoning
• Reasoning from one or more statements to
reach a logical conclusion (“top-down logic”)
• Francis Bacon – 1620s
• Agorithm for determining the essence of an
entity using reduction and inductive
reasoning (Novum Organun)
• Conclusion is reached by generalizing or
extrapolating from specific cases to general
rules (“bottom-up logic”)
History of AI (cont.)
• Calculating machines
• Chinese abacus (more than 4000
years ago)
• Logarithms that allowed
multiplication and the use of
exponents to be reduced to
addition and multiplication (John
Napier, 1614)
• William Oughtred and others
developed the slide rule in the
17th century (multiplication,
division, roots, exponents,
logarithms)
History of AI (cont.)
• Calculating machines
• Calculating Clock for addition and
substraction (Wilhem Schickard, 1623)
• Pascaline machine for addition and
subtraction (Blaise Pascal, 1642)
• Lebniz Wheel for multiplication and
division (Leibniz, 1694)
• Formal logic
– Boole‘s logical algebra: „AND“, „OR“, and „NOT“ (1847, 1854)
– First-order predicate calculus (Frege 1879, 1884)
• Graph theory
– Euler in 1736 layed foundations of graph theory (The Seven Bridges of Königsberg)
• State space search
– Breadth-first search in 1950
– Depth-first search in 19th cent.
– Dijkstra‘s algorithm in 1956
History of AI (cont.)
History of AI (cont.)
• Calculating machines
• A New Inspiration To Arithmetic
(ANITA) – the first electronic calculator
(1962)
• Electronic Numerical Integrator And
Computer (ENIAC) – the first electronic
computer (1946)
• Apple II home computer (1977)
History of AI (cont.)
• In 1997 an IBM supercomputer Deep
Blue defeated the world chess
champion Garry Kasparov
• In 2017 Google's DeepMind AlphaGo
artificial intelligence defeated the
world's number one Go player Ke Jie
Is AI robotics a solved problem?
Sensors
Perception-Action loop
Sense
Environment
Cameras
Computer
Robot-arm
Object
Perception
Action
Collision sensors
• Switch sensor
• Very simple
• On-off
• Robotic collision sensor
• 3-axis
Interaction sensors
• Force/torque sensors
• 3-axis force sensor
• 3-axis torque sensor
• Artificial skin
• Multimodal sensor-array
• Temperature
• Pressure
• Proximity
Proximity/distance sensors
• Infrared (IR) sensor
• Measures reflected light
intensity which corresponds to
distance
• Range: 10 cm – 1 m
• Wide detection cone
• Can be also used to detect
black vs white color (e.g., for a
line detection)
• Unaffected by material softness
• Sensitive to object color and
transparency
• Relatively short distance
No object present
Object present
Proximity/distance sensors (cont.)
• Ultrasonic sensor
• Measures time of reflected signal to
return which corresponds to distance
• Range: 2 cm – 3 m
• Wide detection cone
• Unaffected by object color and
transparency
• Sensitive to material softness
• Relatively slow
Transmitter
Receiver
Object
Proximity/distance sensors (cont.)
• LIDAR sensor (laser imaging,
detection, and ranging)
• Measures time of reflected
signal to return which
corresponds to distance
• Range: 5 cm – 40 m
• Fast and long range sensing
• One single point (no cone)
• Relatively expensive
Transmitter
Receiver
Object
Light source
Light detector
Transmitter optics
Receiver optics
Inertial motion sensors
• 6/9 DoF inertial motion unit (IMU) sensor
• 3-axis gyroscope
• 3-axis accelerometer
• 3-axis magnetometer (absolute
orientation)
• Can be used for estimation of position of a
mobile robot using path integration
• Path reconstruction is inaccurate and gets
worse with time
6 DoF IMU 9 DoF IMU
Position sensors
• Angular position sensor (optical encoder)
• Measures rotary motion
• Can be used for estimation of position
of a mobile robot using path integration
• Path reconstruction is inaccurate and gets
worse with time
Robot’s position
Localisation sensors
• Global positioning system (GPS) sensor
• Global position
• Requires satellite signal
• Works only indoors
• Indoor positioning system (IPS)
• Proximity and visual sensors to associate
sensor values and visual features to
positions
• Radio frequency (RF) signals from radio
sources to determine robots location
• Wi-Fi routers can be used for
localisation too
2D cameras
• 2D RGB cameras
• Direct mapping of environment
• 2D RGB image
• Produces a lot of data: 3xWxH
Pixy2, Charmed Labs and CMU
Millions of tiny light cavities or "photosites“. Number of photons in
each cavity correspond to the strength of the electrical signal.
Signals are then quantified as digital values.
To capture color images, a filter (e.g., Beyer filter) has to be placed
over each cavity that permits only particular colors of light.
“Demosaicing" is applied to translate array of primary colors into a
final image which contains full color information at each pixel.
3D cameras
• 3D RGB-D sensors
• RGB camera
• IR camera (depth sensor)
• Allows 3D reconstruction
• Sensitive to object transparency
• Produces a lot of data: 3xWxH + 1xWxH
• 3D stereo cameras
• Two RGB cameras
• Allows 3D reconstruction
• Not affected by object transparency
• Produces a lot of data: 2x 3xWxH
Microsoft Kinect V2 Asus Xtion Pro
Nerian Karmin
Actuators
Perception-Action loop
Act
Environment
Cameras
Computer
Robot-arm
Object
Perception
Action
Motors
• Brushed direct current (DC) motor
• When the coil is powered, a magnetic
field is generated around the armature
• The left side of the armature is pushed
away from the left magnet and drawn
toward the right, causing rotation
• No motor controller is needed
• Brushless DC motor
• Brushless motors rotate the magnetic
field with switches
• One needs a motor controller to
activate/deactivate coils
Motors (cont.)
• Servo motor
• DC motor with position encoder (e.g.,
potentiometer or rotary encoder)
• Position control using closed-loop
control with feedback (e.g., bang-bang
[on-off] control or PID control)
• Stepper motor
• Brushless DC motor that divides a full
rotation into a number of equal steps
• Open-loop control without feedback
(no position sensor)
• There are also stepper motors with
encoder for higher precision
Pneumatic actuators
• Pneumatic muscles
• Inspired by human muscles
• Actuators (air compressors) are inside of
the body and not in extremities
• No electronics in extremities
• Complicated structure and control
Airic’s Arm, Festo
Signal processing
Baseline subtraction (calibration)
Calibrate sensor values to “zero” value:
• Measure values for some time when no input is
present, e.g., x[1:100]
• Subtract average of the measured signal
y(t) = y(t) – mean(x[1:100])
Outlier detection
Remove values which are much larger than
usual:
• By clipping
if abs(x(t)) > threshold, then
y(t) = sign(x(t)) * threshold
• or by limiting signal change
if abs(x(t)-x(t-1)) > threshold, then
y(t) = y(t-1), else y(t) = x(t)
Thresholding
Set small values to “zero”:
• By clipping
if abs(x(t)) < threshold, then
y(t) = 0
Signal transformation
Convert signal values to step function:
• By clipping and setting to 0/-1/+1
if abs(x(t)) > threshold, then
y(t) = sign(x(t)) * 1, else
y(t) = 0
Noise reduction: Exponential moving average (EMA) filter
• Given measured signal x, denoised signal y is
obtained by
y(t) = a*y(t-1) + (1-a)*x(t),
where a is a constant between 0 and 1
• Needs only previous value y(t-1) and current
sensor value x(t)
• More smoothing leads to larger delays
EMA filter as a memory trace
• EMA filter can be used to create memory
traces
• Larger a values lead to longer memory traces
Noise reduction: Moving average (MA) filter
• Given measured signal x, denoised signal y is
obtained by
y(t) = mean(x[t-k+1:t]),
where k is a constant > 1
• Needs k previous sensor value x[t-k+1:t]
• More smoothing leads to larger delays
Noise reduction: EMA vs MA
• MA produces lower noise for a given edge
sharpness compared to EMA
• MA needs k previous sensor values whereas
EMA needs only current sensor value and a
previous filtered signal value
• We want to estimate state x of a controlled (u)
process governed by a linear stochastic equation
• With a measurement
• Were w and v is the process and measurement
noise, respectively
Kalman filter
Welch&Bishop, 2006
Kalman filter (cont.)
Welch&Bishop, 2006
A posteriori
state estimate
PDF
State estimate
Kalman filter (cont.)
Welch&Bishop, 2006
A posteriori
state estimate
PDF
State estimate
A priori state
estimate
Kalman filter (cont.)
Welch&Bishop, 2006
A priori state
estimate A posteriori
state estimate
A priori estimate
error covariance
A posteriori estimate
error covariance
PDF
State estimate
Kalman filter (cont.)
Welch&Bishop, 2006
A priori state
estimate A posteriori
state estimate
A priori estimate
error covariance
A posteriori estimate
error covariance
PDF
State estimate
Kalman gain
Kalman filter (cont.)
Welch&Bishop, 2006
A priori state
estimate A posteriori
state estimate
Kalman gain
A priori estimate
error covariance
A posteriori estimate
error covariance
Measurement
PDF
State estimate
Kalman filter (cont.)
Welch&Bishop, 2006
A priori state
estimate A posteriori
state estimate
Kalman gain
A priori estimate
error covariance
A posteriori estimate
error covariance
Measurement
PDF
State estimate
Kalman filter (cont.)
Welch&Bishop, 2006
A priori state
estimate A posteriori
state estimate
Kalman gain
A priori estimate
error covariance
A posteriori estimate
error covariance
Measurement
PDF
State estimate
Kalman filter example: Noise reduction
• We will consider uncontrolled stationary
process
Welch&Bishop, 2006
Kalman filter example: Noise reduction (cont.)
• As the measurement error covariance R approaches zero, the actual measurement z is “trusted”
more and more, while the predicted measurement is trusted less and less
• With time, a priori estimate error covariance P- will decrease, so will Kalman gain K, as a
consequence we will trust actual measurement z less and will trust our estimate more
A=1, H=1, B=0, Q=10-5
Summary
• Perception-Action loop
• Sense
• Plan
• Act
• Intelligence
• Ability to perceive information and
• use it as knowledge for adaptive behaviors
within an environment
• Learning, memory, emotions, reasoning
• Artificial intelligence as engineering
• Systems (robots) that can act autonomously
• Can adapt and generalise to new situations
• Can understand what user wants
• Can improve by learning from experiences
Summary (cont.)
• Sensors
• Collision avoidance and interactions sensors
• Proximity/distance sensors
• Motion sensors
• Position and localisation sensors
• Visual sensors
• Actuators
• Brushed/brushless DC motors
• Servo/stepper motors
• Pneumatics actuators
Summary (cont.)
• Signal processing
• Baseline subtraction
(calibration)
• Outlier detection
• Thresholding (clipping)
• Noise reduction
• EMA filter
• MA filter
• Kalman filter
Homework
• What is relation of EMA filter and Kalman
filter (look at equations)?
• Implement MA and EMA filters and
compare them to Kalman filter (use
provided implementation)
• Use step function with noise (as shown on
the left) and/or any other function (e.g.,
sine wave)

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L4_R1_Introduction_Sensors_and_Actuators.pdf

  • 1. Introduction to Robotics. Sensors and Actuators Introduction to Computer Vision and Robotics Tomas Kulvicius Large portion of slides are adopted from Florentin Wörgötter, John Hallam and Simon Reich tkulvic@gwdg.de
  • 5. • Karel Čapek was one of the most influential Czech writers of the 20th century and a Nobel Prize nominee (1936). • He introduced and made popular the frequently used international word robot, which first appeared in his play R.U.R. (Rossum's Universal Robots) in 1921. • “Robot” comes from the Czech word “robota”, meaning “forced labor” • Karel named his brother Josef Čapek as the true inventor of the word robot. History of robotics 1890-1938
  • 6. 1. A robot may not injure a human being or, through inaction, allow a human being to come to harm. 2. A robot must obey orders given to it by human beings, except where such orders would conflict with the First Law. 3. A robot must protect its own existence as long as such protection does not conflict with the First or Second Law. • The word "robotics" also comes from science fiction - it first appeared in the short story "Runaround" (1942) by American writer Isaac Asimov. • This story was later included in Asimov's famous book "I, Robot." • The robot stories of Isaac Asimov also introduced the "three laws of robotics." History of robotics (cont.) 1920-1992
  • 7. • The book of „Ingenious Devices“ (arabic: ‫الحيل‬ ‫كتاب‬ , Kitab al-Hiyal) has been published in around 850 by the three persian brothers Banu Musa (Ahmad, Muhammad and Hasan bin Musa ibn Shakir) • It describes more than 100 complex automata Water clock Self- regulating oil lamp Early automata
  • 8. • 1497, Leonardo da Vinci: Clocks, self-driven cart, robotic-knight, etc. Early automata (cont.)
  • 9. • 1738, Jacques de Vaucanson: Player of the transverse flute, replica of the human mouth. Early automata (cont.)
  • 10. • 1769, Baron von Kempelen: The Mechanical Turk (chess player) • 1774, Pierre and Henri-Louis Jacquet-Droz: „Sketcher“, „Writer“ und „Musician (puppets)“, could be programmed using different program drums Early automata (cont.)
  • 11. William Grey Walter (Februar 19, 1910 - Mai 6, 1977) Elmer, ca. 1949 Phototaxis & “Homing” Early robots
  • 12. Modern robots – Industry
  • 13. Modern robots – Service IRobot Roomba – vacuum cleaner robot Chover – glass cleaner robot Husqvarna Automower – gras cutter robot
  • 14. Modern robots – Entertainment Aldebaran Nao – small humanoid robot Sony Aibo – dog robot
  • 15. Modern robots – Care robots ROBEAR, Riken Care-O-bot, Fraunhofer IPA
  • 16. Modern robots – Research robots • Bio-inspired robotics • Build robots which have similar morphology and/or functions as animals • Biorobotics • Build robots in order to understand “How animals work” AMOS II, BCCN StickyBot, Stanford Uni Runbot, BCCN Six-legged, EPFL Robot dog, Boston Dynamics Snake robot, Kyoto Uni Robotic fish, MIT BionicOpter, Festo E-puck, EPFL
  • 17. Modern robots – Humanoid robots
  • 20. What is intelligence? (cont.) • Ability to perceive information and use it as knowledge for adaptive behaviors within an environment • Logic • Abstract thought • Understanding • Self-awareness • Communication • Learning and memory • Emotions • Planning • Creativity • Problem solving
  • 22. Definition: What is AI? (cont.) • John McCarthy, who coined the term in 1955, defines it as "the science and engineering of making intelligent machines“ • J. McCarthy developed LISP programming language 1927-2011
  • 23. Definition: What is AI? (cont.) • “The exciting new effort to make computers think ... machines with minds, in the full and literal sense” (Haugeland, 1985; coined the term GOFAI) • “The automation of activities that we associate with human thinking, activities such as decision-making, problem solving, learning ...” (Bellman, 1978) • “The art of creating machines that perform functions that require intelligence when performed by people” (Kurzweil, 1990) • The study of how to make computers do things at which, at the moment, people are better” (Rich and Knight, 1991)
  • 24. Definition: What is AI? (cont.) • “The study of mental faculties through the use of computational models” (Charniak and McDermott, 1985) • “The study of the computations that make it possible to perceive, reason, and act” (Winston, 1992) • “A field of study that seeks to explain and emulate intelligent behavior in terms of computational processes” (Schalkoff, 1990) • “The branch of computer science that is concerned with the automation of intelligent behavior” (Luger and Stubblefield, 1993)
  • 25. Artificial intelligence as engineering • How can we make computer based systems more intelligent? • Ability to automatically perform tasks that currently require human operators • More autonomy in computer systems; less requirement for human intervention or monitoring • More flexibility in dealing with variability in the environment in an appropriate manner • Systems that are easier to use by understanding what the user wants from limited instructions • Systems that can improve their performance by learning from experience
  • 26. History of AI • Aristotle – more than 2000 years ago • Propositional logic (modus ponens) using deductive reasoning • Reasoning from one or more statements to reach a logical conclusion (“top-down logic”) • Francis Bacon – 1620s • Agorithm for determining the essence of an entity using reduction and inductive reasoning (Novum Organun) • Conclusion is reached by generalizing or extrapolating from specific cases to general rules (“bottom-up logic”)
  • 27. History of AI (cont.) • Calculating machines • Chinese abacus (more than 4000 years ago) • Logarithms that allowed multiplication and the use of exponents to be reduced to addition and multiplication (John Napier, 1614) • William Oughtred and others developed the slide rule in the 17th century (multiplication, division, roots, exponents, logarithms)
  • 28. History of AI (cont.) • Calculating machines • Calculating Clock for addition and substraction (Wilhem Schickard, 1623) • Pascaline machine for addition and subtraction (Blaise Pascal, 1642) • Lebniz Wheel for multiplication and division (Leibniz, 1694)
  • 29. • Formal logic – Boole‘s logical algebra: „AND“, „OR“, and „NOT“ (1847, 1854) – First-order predicate calculus (Frege 1879, 1884) • Graph theory – Euler in 1736 layed foundations of graph theory (The Seven Bridges of Königsberg) • State space search – Breadth-first search in 1950 – Depth-first search in 19th cent. – Dijkstra‘s algorithm in 1956 History of AI (cont.)
  • 30. History of AI (cont.) • Calculating machines • A New Inspiration To Arithmetic (ANITA) – the first electronic calculator (1962) • Electronic Numerical Integrator And Computer (ENIAC) – the first electronic computer (1946) • Apple II home computer (1977)
  • 31. History of AI (cont.) • In 1997 an IBM supercomputer Deep Blue defeated the world chess champion Garry Kasparov • In 2017 Google's DeepMind AlphaGo artificial intelligence defeated the world's number one Go player Ke Jie
  • 32. Is AI robotics a solved problem?
  • 35. Collision sensors • Switch sensor • Very simple • On-off • Robotic collision sensor • 3-axis
  • 36. Interaction sensors • Force/torque sensors • 3-axis force sensor • 3-axis torque sensor • Artificial skin • Multimodal sensor-array • Temperature • Pressure • Proximity
  • 37. Proximity/distance sensors • Infrared (IR) sensor • Measures reflected light intensity which corresponds to distance • Range: 10 cm – 1 m • Wide detection cone • Can be also used to detect black vs white color (e.g., for a line detection) • Unaffected by material softness • Sensitive to object color and transparency • Relatively short distance No object present Object present
  • 38. Proximity/distance sensors (cont.) • Ultrasonic sensor • Measures time of reflected signal to return which corresponds to distance • Range: 2 cm – 3 m • Wide detection cone • Unaffected by object color and transparency • Sensitive to material softness • Relatively slow Transmitter Receiver Object
  • 39. Proximity/distance sensors (cont.) • LIDAR sensor (laser imaging, detection, and ranging) • Measures time of reflected signal to return which corresponds to distance • Range: 5 cm – 40 m • Fast and long range sensing • One single point (no cone) • Relatively expensive Transmitter Receiver Object Light source Light detector Transmitter optics Receiver optics
  • 40. Inertial motion sensors • 6/9 DoF inertial motion unit (IMU) sensor • 3-axis gyroscope • 3-axis accelerometer • 3-axis magnetometer (absolute orientation) • Can be used for estimation of position of a mobile robot using path integration • Path reconstruction is inaccurate and gets worse with time 6 DoF IMU 9 DoF IMU
  • 41. Position sensors • Angular position sensor (optical encoder) • Measures rotary motion • Can be used for estimation of position of a mobile robot using path integration • Path reconstruction is inaccurate and gets worse with time
  • 42. Robot’s position Localisation sensors • Global positioning system (GPS) sensor • Global position • Requires satellite signal • Works only indoors • Indoor positioning system (IPS) • Proximity and visual sensors to associate sensor values and visual features to positions • Radio frequency (RF) signals from radio sources to determine robots location • Wi-Fi routers can be used for localisation too
  • 43. 2D cameras • 2D RGB cameras • Direct mapping of environment • 2D RGB image • Produces a lot of data: 3xWxH Pixy2, Charmed Labs and CMU Millions of tiny light cavities or "photosites“. Number of photons in each cavity correspond to the strength of the electrical signal. Signals are then quantified as digital values. To capture color images, a filter (e.g., Beyer filter) has to be placed over each cavity that permits only particular colors of light. “Demosaicing" is applied to translate array of primary colors into a final image which contains full color information at each pixel.
  • 44. 3D cameras • 3D RGB-D sensors • RGB camera • IR camera (depth sensor) • Allows 3D reconstruction • Sensitive to object transparency • Produces a lot of data: 3xWxH + 1xWxH • 3D stereo cameras • Two RGB cameras • Allows 3D reconstruction • Not affected by object transparency • Produces a lot of data: 2x 3xWxH Microsoft Kinect V2 Asus Xtion Pro Nerian Karmin
  • 47. Motors • Brushed direct current (DC) motor • When the coil is powered, a magnetic field is generated around the armature • The left side of the armature is pushed away from the left magnet and drawn toward the right, causing rotation • No motor controller is needed • Brushless DC motor • Brushless motors rotate the magnetic field with switches • One needs a motor controller to activate/deactivate coils
  • 48. Motors (cont.) • Servo motor • DC motor with position encoder (e.g., potentiometer or rotary encoder) • Position control using closed-loop control with feedback (e.g., bang-bang [on-off] control or PID control) • Stepper motor • Brushless DC motor that divides a full rotation into a number of equal steps • Open-loop control without feedback (no position sensor) • There are also stepper motors with encoder for higher precision
  • 49. Pneumatic actuators • Pneumatic muscles • Inspired by human muscles • Actuators (air compressors) are inside of the body and not in extremities • No electronics in extremities • Complicated structure and control Airic’s Arm, Festo
  • 51. Baseline subtraction (calibration) Calibrate sensor values to “zero” value: • Measure values for some time when no input is present, e.g., x[1:100] • Subtract average of the measured signal y(t) = y(t) – mean(x[1:100])
  • 52. Outlier detection Remove values which are much larger than usual: • By clipping if abs(x(t)) > threshold, then y(t) = sign(x(t)) * threshold • or by limiting signal change if abs(x(t)-x(t-1)) > threshold, then y(t) = y(t-1), else y(t) = x(t)
  • 53. Thresholding Set small values to “zero”: • By clipping if abs(x(t)) < threshold, then y(t) = 0
  • 54. Signal transformation Convert signal values to step function: • By clipping and setting to 0/-1/+1 if abs(x(t)) > threshold, then y(t) = sign(x(t)) * 1, else y(t) = 0
  • 55. Noise reduction: Exponential moving average (EMA) filter • Given measured signal x, denoised signal y is obtained by y(t) = a*y(t-1) + (1-a)*x(t), where a is a constant between 0 and 1 • Needs only previous value y(t-1) and current sensor value x(t) • More smoothing leads to larger delays
  • 56. EMA filter as a memory trace • EMA filter can be used to create memory traces • Larger a values lead to longer memory traces
  • 57. Noise reduction: Moving average (MA) filter • Given measured signal x, denoised signal y is obtained by y(t) = mean(x[t-k+1:t]), where k is a constant > 1 • Needs k previous sensor value x[t-k+1:t] • More smoothing leads to larger delays
  • 58. Noise reduction: EMA vs MA • MA produces lower noise for a given edge sharpness compared to EMA • MA needs k previous sensor values whereas EMA needs only current sensor value and a previous filtered signal value
  • 59. • We want to estimate state x of a controlled (u) process governed by a linear stochastic equation • With a measurement • Were w and v is the process and measurement noise, respectively Kalman filter Welch&Bishop, 2006
  • 60. Kalman filter (cont.) Welch&Bishop, 2006 A posteriori state estimate PDF State estimate
  • 61. Kalman filter (cont.) Welch&Bishop, 2006 A posteriori state estimate PDF State estimate A priori state estimate
  • 62. Kalman filter (cont.) Welch&Bishop, 2006 A priori state estimate A posteriori state estimate A priori estimate error covariance A posteriori estimate error covariance PDF State estimate
  • 63. Kalman filter (cont.) Welch&Bishop, 2006 A priori state estimate A posteriori state estimate A priori estimate error covariance A posteriori estimate error covariance PDF State estimate Kalman gain
  • 64. Kalman filter (cont.) Welch&Bishop, 2006 A priori state estimate A posteriori state estimate Kalman gain A priori estimate error covariance A posteriori estimate error covariance Measurement PDF State estimate
  • 65. Kalman filter (cont.) Welch&Bishop, 2006 A priori state estimate A posteriori state estimate Kalman gain A priori estimate error covariance A posteriori estimate error covariance Measurement PDF State estimate
  • 66. Kalman filter (cont.) Welch&Bishop, 2006 A priori state estimate A posteriori state estimate Kalman gain A priori estimate error covariance A posteriori estimate error covariance Measurement PDF State estimate
  • 67. Kalman filter example: Noise reduction • We will consider uncontrolled stationary process Welch&Bishop, 2006
  • 68. Kalman filter example: Noise reduction (cont.) • As the measurement error covariance R approaches zero, the actual measurement z is “trusted” more and more, while the predicted measurement is trusted less and less • With time, a priori estimate error covariance P- will decrease, so will Kalman gain K, as a consequence we will trust actual measurement z less and will trust our estimate more A=1, H=1, B=0, Q=10-5
  • 69. Summary • Perception-Action loop • Sense • Plan • Act • Intelligence • Ability to perceive information and • use it as knowledge for adaptive behaviors within an environment • Learning, memory, emotions, reasoning • Artificial intelligence as engineering • Systems (robots) that can act autonomously • Can adapt and generalise to new situations • Can understand what user wants • Can improve by learning from experiences
  • 70. Summary (cont.) • Sensors • Collision avoidance and interactions sensors • Proximity/distance sensors • Motion sensors • Position and localisation sensors • Visual sensors • Actuators • Brushed/brushless DC motors • Servo/stepper motors • Pneumatics actuators
  • 71. Summary (cont.) • Signal processing • Baseline subtraction (calibration) • Outlier detection • Thresholding (clipping) • Noise reduction • EMA filter • MA filter • Kalman filter
  • 72. Homework • What is relation of EMA filter and Kalman filter (look at equations)? • Implement MA and EMA filters and compare them to Kalman filter (use provided implementation) • Use step function with noise (as shown on the left) and/or any other function (e.g., sine wave)