robustness of input shaping to nonlinear drive dynamics 29 november 2004 j. atwood & a. reich...

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Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

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Page 1: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Robustness of Input Shaping to Nonlinear Drive

Dynamics

29 November 2004

J. Atwood & A. ReichProfessor W. Singhose

GTA: J. Lawrence

Page 2: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Outline

Project Description and Justification

Results Future Research Questions

Page 3: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Input Shaping Theory

UM-ZV

Shaper:

ZV Shaper:

Page 4: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Problem Statement Current input shapers assume linear dynamics

Page 5: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Problem Statement Unequal Rise/Fall Times inhibit shaper effectiveness

Page 6: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Goal

Characterize non-linear performance of current input shapers

Evaluate new, robust input shaper

Page 7: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

No Shaping

Page 8: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

ZV Shaping

Page 9: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

UMZV Shaping

Page 10: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Modified UMZV Shaper

Page 11: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Comparison With No Shaping

Page 12: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Comparison with ZV Shaper

Page 13: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Comparison with UMZV Shaper

0

20

40

60

80

100

Time

Vel

ocity

(% o

f Max

)

Linear Rise, rise time=tr Exponential Rise, time constant=τ

Page 14: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Future Work

Retest modified UM-ZV shaper under exponential motor drive.

Expand space to investigate faster rise and fall times.

Page 15: Robustness of Input Shaping to Nonlinear Drive Dynamics 29 November 2004 J. Atwood & A. Reich Professor W. Singhose GTA: J. Lawrence

Questions??