muri fabrication biomimetic robots - onr site visit - august 9, 2000 h. kazerooni human engineering...

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MURI Fabrication Biomimetic Robots - ONR Site Visit - August 9, 2000 H. Kazerooni Human Engineering Laboratory (HEL) University of California at Berkeley ONR Site Visit August 9, 2000

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MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

H. Kazerooni

Human Engineering Laboratory (HEL)

University of California at Berkeley

ONR Site VisitAugust 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Topics

1. Ground Reaction Force Control2. Frequency Matching Control

EXAMPLE

a

b c

d

f

g

Path Generation

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Power Terrain

• One motor powers all legs

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Flexible Feet Construction

• Shape Deposition Modeling (SDM)

• Simple Spring Legs Control system is embedded in hardware (Elasticity, Damping, and Mass of Legs)

2

34

1

2

3

4

1 2

3

4

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Frequency Matching

• Inverse Pendulum Model• Frequency of Walking (pendulum) α

Natural Frequency of Leg (spring)• In fact, for cockroach,

Freq. of Walking ≈ fn of 3 legs / 3 ≈ 14Hz

Trajectory of center of mass

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Mechanical Walker

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Ground Reaction Force Control

The only external force on a walking machine is imparted by the ground.

Large Ground Reaction Forces lead to large acceleration and large speed

Considering Newtonian Mechanics, zero Ground Reaction Forces lead to zero motion (f = m α)

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Infinitely Rigid GroundGround Reaction forces = f (T1, T2)

A leg during stance phase

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Zero Stiffness GroundGround Reaction forces = 0

A leg during swing phase

A leg during swing phase does not contribute to motion of the machine.

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Actual GroundGround Reaction Forces = f ( T1, T2 and K)

A leg during stance phase

The fundamental method of creating locomotion for the

walking machine is the generation of appropriate

ground reaction forces on the machine leg that is in contact with the ground, not the leg

which is swinging; in fact, the leg during the swing phase

should not be powered to save

energy.

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

The Ground Reaction Forces are the “Actuators” of a Walking Machine

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

W

ηW

The Horizontal Ground Reaction Forces are controlled to be larger than ηW

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

Electronic Schematic

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000

ηW C

os () +

W Sin (

)

The Ground Reaction Forces must be controlled

to be larger than ηW Cos () +W Sin ()

Inclined Maneuvers

MURI

Fabrication

Biomimetic Robots - ONR Site Visit - August 9, 2000