Cal Poly Pomona

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Cal Poly Pomona

Robot Navigation

Salomón Oldak, Ph.D.

Electrical and Computer

Engineering

2/8/06

1

DARPA Grand Challenge

Congress mandate to increase the use of ground unmanned vehicles.

Congressional Goal: 1/3 of armed forces combat vehicles unmanned by

2015.

Vehicles must be fully autonomous

Nearly 250 miles on and off road in 10 hours.

2

First DARPA Challenge

2004

First Challenge took place on 3/14/04

Between Los Angeles and Las Vegas

$1 Million Prize

25 Teams Participated

– CalTech, University of Florida, University of Alaska, Virginia Tech and others

– Palos Verdes High School

3

Ghostrider(Blue Team,

Berkeley)

4

Blue Team Movie

5

Obstacles

Paved Roads

Overpasses

Straight-Winding Roads

Sand, Rock

Underpasses

Water

Natural Obstruction

6

1st Challenge Results

Failure:

No Team

Completed

Task.

Max Distance

7.4Mi

7

2 nd DARPA Grand

Challenge (10/8/2005)

Success! 3 Robots Completed task!

8

The Winner: Stanley

9

Stanford University

(Sebastian Thrun)

10

Sensors Used

GPS Antenna

Laser Range Finder (Lidar) (30m)

Video Camera (80m)

Odometry (Photo Sensor on Wheel)

11

Algorithm

Problems: Vibration would trick sensors to “imagine” ghost obstacles, The vehicle thought it’s own shadow is an obstacle.

Solution: Teach the car. Assess weights to pixels as a human driver operates the car.

12

Future

43000 people die in traffic accidents/year in the US

Robot driven cars will reduce # of fatalities

Accidents can be avoided

Liability?

13

Spirit and Opportunity

14

Navigation

Rover’s are mostly teleoperated

2 stereo hazard avoidance cameras front and back

1 Stereo Navigation camera on mast

Rovers moves 0.5m at max speed of

34m/h = 0.02MPH

15

Robot Paradigms

Paradigm:

“A "view" of how things work in the world.”

“…a set of rules and regulations…”

Paradigm Primitives:

SENSE, PLAN, ACT

16

Paradigms

Hierarchical

1967-1990

Reactive

1988-1992

Hybrid Deliberative/Reactive

1990-

17

Hierarchical Paradigm

The robot operates in a top-down fashion, heavy on planning.

The robot senses the world, plans the next action, acts; at each step the robot explicitly plans the next move.

All the sensing data tends to be gathered into one global world model.

18

Shakey (SRI)

First AI Robot

(1967-70)

19

Assumptions

Close World: World Model Contains everything the Robot needs to know

Frame Problem: The real-world situation is computationally feasible.

20

Problem

Robots designed under Hierarchical

Paradigm were VERY slow.

21

Reactive Paradigm

Sense-act type of organization.

The robot has multiple instances of Sense-Act couplings.

These couplings are concurrent processes, called behaviours, which take the local sensing data and compute the best action to take independently of what the other processes are doing.

The robot will do a combination of behaviours .

22

Biological Foundation of

Reactive Paradigm

Reactive Paradigm is based on observations of ethologists (study of animal behavior) and cognitive psychology (how humans think and represent knowledge)

Biology provides existence proofs.

23

Behavior Definition

(graphical)

BEHAVIOR

Sensory

Input

Pattern of Motor

Actions

24

Arctic Terns

Arctic terns live in Arctic (black, white, gray environment, some grass) but adults have a red spot on beak

When hungry, baby pecks at parent’s beak, who regurgitates food for baby to eat

How does it know its parent?

– It doesn’t, it just goes for the largest red spot in its field of view

(e.g., ethology grad student with construction paper)

– Only red thing should be an adult tern

– Closer = large red

25

Types of Behaviors

Reflexive

– stimulus-response, often abbreviated S-R (like knee tapped). “Hardwired”

Reactive

– learned or “muscle memory”. (Riding a bike, skiing, etc.)

Conscious

– deliberately stringing together (Building a Robot)

WARNING Overloaded terms:

Roboticists often use “reactive behavior” to mean purely reflexive,

And refer to reactive behaviors as “skills”

26

Example: Cockroach Hide

 light goes on, the cockroach turns and runs

 when it gets to a wall, it follows it

 when it finds a hiding place (thigmotrophic), goes in and faces outward

 waits until not scared, then comes out

 even if the lights are turned back off earlier

27

Behaviors are Concurrent

28

What happens when there’s a conflict from concurrent behaviors?

?

Equilbrium

– Feeding squirrels-feed, flee: hesitate inbetween

Dominance

– Sleepy, hungry: either sleep or eat

Cancellation

– Sticklebacks defend, attack: build a nest

29

Reactive Robots

RELEASER behavior

SENSE ACT

Most apps are programmed with this paradigm

Biologically based:

– Behaviors (independent processes), released by perceptual or internal events (state)

– No world models or long term memory

– Highly modular, generic

– Overall behavior emerges

30

Example : My Real Baby

Behaviors?

Touch-> Awake

Upside down & Awake-> Cry

Awake & Hungry -> Cry

Awake & Lonely -> Cry www.irobot.com

Note can get crying from multiple behaviors

Note internal state (countdown timer on Lonely)

31

Subsumption Architecture:

Rodney Brooks

From http://www.spe.sony.com/classics/fastcheap/index.html

32

Runaway

PS

RUN AWAY

MS follow-corridor 2 wander 1 runaway 0

PS MS

HALT

COLLIDE

33

Example Perception: Polar Plot

 if sensing is ego-centric, can often eliminate need for

Plot is ego-centric memory, representation

Plot is distributed (available to whatever wants to use it)

Although it is a representation in the sense of being a data structure, there is no memory (contains latest information) and no reasoning (2-3 means a “wall”)

34

Potential Fields (Example:

Navigation)

3

2

5

4

7

6

1

0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0

0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2

0 1 2 3 4 5 6 7 8 9

1

0

1

1

1

2

1

3

1

4

1

5

35

Wavefront Algorithm

3

2

5

4

7

6

1

0

18 17 16 15 14 13 12 11 10 9 9 9 9 9 9 9

17 17 16 15 14 13 12 11 10 9 8 8 8 8 8 8

17 16 16 15 14 13 12 11 10 9 8 7 7 7 7 7

17 16 15 15 1 1 1 1 1 1 1 1 6 6 6 6

17 16 15 14 1 1 1 1 1 1 1 1 5 5 5 5

17 16 15 14 13 12 11 10 9 8 7 6 5 4 4 4

17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 3

17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2

1 1 1 1 1

0 1 2 3 4 5 6 7 8 9

0 1 2 3

(0,7) -> (1,7) -> (2,7) -> (3,7) -> (4,7) -> (5,7) -> (6,7)

-> (7,7) -> (8,7) -> (9,7) -> (10,7) -> (10,6) -> (11,6) -

> (11,5) -> (12,5) -> (12,4) -> (12,3) -> (13,3) ->

(13,2) -> (14,2) -> (14,1) -> (15,1) -> (15,0)

4

1

5

36

Hybrid Deliberate/Reactive

Paradigm

The robot first plans (deliberates) how to best decompose a task into subtasks (also called “mission planning”) and then what are the suitable behaviours to accomplish each subtask.

Then the behaviours starts executing as per the Reactive

Paradigm.

Sensing organization is also a mixture of Hierarchical and

Reactive styles; sensor data gets routed to each behaviour the needs that sensor, but is also available to the planner for construction of a task-oriented global world model.

37

Deliberation v.s. Planning

Besides “planning” robot has to perform other tasks such as: map making, performance monitoring, learning, etc.

All these tasks together with planning are known as: DELIBERATION

38

Sensing Organization

SENSOR 3

SENSOR 1

Deliberative functions

*Can “eavesdrop”

WORLD MAP/

KNOWLEDGE REP

*Can have their own

Sensors

*Have output which

Looks like a sensor virtual sensor Output to a behavior

(virtual sensor)

BEHAVIOR

BEHAVIOR ACTUATORS

BEHAVIOR

SENSOR 2

39

Hybrid Behaviors

Behaviors are extended to

Reflexive

Innate

Learned

(Just like in ethology)

40

Architectures:

Common Functionality

Mission planner

Cartographer

Sequencer agent

Behavioral manager

Performance monitor/problem solving agent

(fairly rare)

41

Several Hybrid Approaches

Have Been Developed

AuRA (Arkin 1986)

Atlantis (Gat 1991)

Sensor-Fusion Effects (SFX) (Murphy 1996)

3-Tiered (3T) (JPL1990s)

Saphira (Konolige 1998)

Tack Control Architecture (Simmons 1997)

Planner-Reactor (Lyons and Hendriks 1992)

Procedural Reasoning System (PRS) (Georgeff and Lansky 1987)

SSS (Connell 1992)

Multi-Valued Logic (Saffiotti 1995)

SOMASS Hybrid Assembly System (Malcom and Smithers 1990)

Agent Architecture (Hayes-Roth 1993)

Etc., Etc.

42

Georgia Tech TMR(Tactical

Mobile Robot) Robots

43

NAVIGATION

Topological Navigation – Qualitative

Navigation

Metric Navigation – Quantitative

Navigation

Navigation Algorithm usually is part of

Deliberative part of Hybrid

Architecture.

44

Qualitative Navigation uses Landmarks

45

floor plan

Gateway is an opportunity to change path heading

Relational Methods

Nodes: landmarks, gateways, goal locations

Edges: navigable path relational graph

Quantitative Navigation

Want to get from one point to another with an optimization criteria:

Minimize Time

Minimize Energy

Minimize Distance

Etc.

47

Space Representation:

Voronoi Graphs

Imagine a fire starting at the boundaries, creating a line where they intersect, intersections of lines are nodes

Result is a relational graph

48

Space Representation:

Rectangular Graph

49

A * Algorithm

50

Discussion

Questions ?

51

References

Murphy R.R.; “Introduction to AI

Robotics, MIT Press, 2000 http://www.policyalmanac.org/games/ aStarTutorial.htm

(Accessed 2/6/06) http://robots.stanford.edu/ (Accessed

(2/6/06) http://www.ghostriderrobot.com/index

.php?id=robot (Accessed 2/6/06)

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