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Introduction to RoboticsLocomotionCSCI 4830/7000January 11, 2010NikolausCorrell
What is locomotion?Latin: moving from place to placeCrawlingSlidingRunningJumpingWalkingRolling
Other forms of locomotionSwimmingGlidingFlyingPropulsion
Locomotion relationshipsSwimming to walkingWalking to rollingGliding to flyingRunning to jumpingA.J. Ijspeert, A. Crespi, D. Ryczko, and J.M. Cabelguen. From swimming to walking with a salamander robot driven by a spinal cord model. Science, 9 March 2007, Vol. 315. no. 5817, pp. 1416 - 1420, 2007.
Nature vs. TechnologyRobots become more and more capable of imitating natural locomotion schemesNature did not evolve rotating shafts / rotational jointsHinge jointBall and socket joint
Walking vs. rollingIf the terrain allows, rolling is more efficientWalking requires moreStructural complexityJointsControl
Characterization of locomotionStabilityNumber of contact pointsCenter of gravityStatic/Dynamic StabilizationInclination of terrainContactPoint vs. AreaFriction vs. grasp3-Point rule3 legs : static stability6 legs : static walking
Walking2-DOF4-DOF6-DOFHow many DOF are needed?
		GaitSequence of event sequenceEvent: leg up or downPossible number of gaits N=(2k-1)!Most efficient gait is a function of speed!
Horse Gait (Gallop)167 different gaits observed in a horse!
Industry2-legged locomotionpopular because suited to human environmenthardest to controlCommercial prototypes4-legged locomotionNot statically stableCommercial prototypes6-legged locomotionStatically stableForestryhttp://www.youtube.com/watch?v=FAcgSi6pzv4http://www.youtube.com/watch?v=CD2V8GFqk_Y
Wheeled locomotionMost appropriate for most applicationsStable with at least 3 wheelsSteered wheels make control more complex pretty quicklyStable zone
Wheel suspensionSuspension consists of a spring and damperThe damper absorbs shockThe spring counteracts the shockResult: wheel remains on groundBetter tractionBetter control
Omni-Directional DriveSwedish WheelRotation around wheel axleRotation around the rollersRotation around contact pointUranus, CMU
Climbing with wheelsFriction-basedCenter-of-gravitybasedSuspension-based
Dynamic StabilityThe system has to move in order not to fall overActive balanceInertia is used to overcome unstable statesExamples areRunningGetting upInverted Pendulum
Part II: Practice
Brushed DC MotorDirectly driven by DC currentSelf-commutatingSpeed regulated by voltageNeeds gear-box to generate useful speed/torque
Stepper MotorRequires dedicated circuitry to generate activation sequenceSpeed of sequence controls motor speedMotor stops at precise increments
Brushless DC MotorCommutation done electronicallyRequires speed controllerMore efficient then brushed DC Motor
EncodersRequired to estimate axis positionOptical encodersDifferentialQuadratureAbsoluteHall-Effect
ServosServo =motor + encoder + gearbox + controllerLow-End:Pulse-Width Modulation (PWM):rate regulates positionHigh-End:Digital control allows setting and querying position, speed and torque
Linear ActuatorsRotation-basedHydraulic / PneumaticSolenoidPiezo-ElectricShape-Memory Alloy (SMA) wires
DesignLets design robots thatCrawlSlideGallopJumpWalkRollCrawlingSlidingRunningJumpingWalkingRolling
CrawlingMechanics of Soft Materials Laboratoryhttp://ase.tufts.edu/msml/researchInchBot.asp
SlidingGavin MillerHirose-Fukushima labhttp://www-robot.mes.titech.ac.jp/robot_e.html
RunningScout II, McGill Universityhttp://www.youtube.com/watch?v=SRIU7PtyGOw
JumpingLaboratory of Intelligent Systems, EPFLhttp://lis.epfl.ch/?content=research/projects/SelfDeployingMicroglider/
Rollinghttp://modlabupenn.org
HomeworkChapter 3Required for next week’s exerciseHintsread the questions firstSkip: 3.2.3.4-5Skim: 3.2.4-3.3.3Understand what Maneuverability (Mobility and Steerability is) conceptionallyGoal: calculate the speed of your robot’s motors so that it can follow a desired trajectory
Next exerciseLocomotion (1 week)Play with different locomotion concepts in WebotsUnderstand various gaitsCome up with a “stand-up-gait” for the Soccer robot

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Lecture 02: Locomotion