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Technical Brief

Negative Input Shaped Commands for Unequal Acceleration and Braking Delays of Actuators

[+] Author and Article Information
Yoon-Gyung Sung

Professor
Department of Mechanical Engineering,
Chosun University,
Gwangju 61452, South Korea
e-mail: sungyg@chosun.ac.kr

Wan-Shik Jang

Professor
Department of Mechanical Engineering,
Chosun University,
Gwangju 61452, South Korea
e-mail: wsjang@chosun.ac.kr

Jae-Yeol Kim

Professor
Department of Mechanical System Engineering,
Chosun University,
Gwangju 61452, South Korea
e-mail: jykim@chosun.ac.kr

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received August 8, 2017; final manuscript received February 5, 2018; published online March 30, 2018. Assoc. Editor: Soo Jeon.

J. Dyn. Sys., Meas., Control 140(9), 094501 (Mar 30, 2018) (6 pages) Paper No: DS-17-1402; doi: 10.1115/1.4039367 History: Received August 08, 2017; Revised February 05, 2018

A negative input shaped command is presented for flexible systems to reduce the residual oscillation under unequal acceleration and braking delays of actuators that are common issues in industrial applications. Against this nonlinearity, a compensated unit magnitude zero vibration (UMZV) shaper is analytically developed with a phasor vector diagram and a ramp-step function to approximate the dynamic response of the unequal acceleration and braking delays of actuators. A closed-form solution is presented with a benchmark system without sacrificing the generality and simplicity for industrial applications. The robustness and control performance of the exact solution are numerically evaluated and compared with those of an existing negative input shaper in terms of the switch-on time, command interference, and effects of the shaper parameters. The proposed negative input shaped commands are experimentally validated with a mini-bridge crane.

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References

Farrenkopf, R. L. , 1979, “ Optimal Open-Loop Maneuver Profiles for Flexible Spacecraft,” J. Guid. Control, 2(6), pp. 491–498. [CrossRef]
Yang, M. J. , Gu, G. Y. , and Zhu, L. M. , 2014, “ High-Bandwidth Tracking Control of Piezo-Actuated Nanopositioning Stages Using Closed-Loop Input Shaper,” Mechatronics, 24(6), pp. 724–733. [CrossRef]
Youm, W. , Jung, J. , and Park, K. , 2007, “ Vibration Reduction Control of a Voice Coil Motor (VCM) Nano Scanner,” Seventh IEEE International Conference on Nanotechnology, Hong Kong, Aug. 2–5, pp. 520–523.
Rogers, K. , and Seering, W. , 2008, “ Input Shaping for Limiting Loads and Vibration in Systems With On-Off Actuators,” AIAA Paper No. 1996-3796.
Sung, Y.-G. , and Singhose, W. , 2007, “ Closed-Form Specified-Fuel Commands for Two Flexible Modes,” J. Guid. Control Dyn., 30(6), pp. 1590–1596. [CrossRef]
Newman, D. , and Vaughan, J. , 2017, “ Reduction of Transient Payload Swing in a Harmonically Excited Boom Crane by Shaping Luff Commands,” ASME Paper No. DSCC2017-5247.
Zhao, Y. , and Tomizuka, M. , 2017, “ Modified Zero Time Delay Input Shaping for Industrial Robot With Flexibility,” ASME Paper No. DSCC2017-5219.
Singhose, W. , Mills, B. , and Seering, W. , 1998, “ Closed-Form Methods for Generating On-Off Commands for Undamped Flexible Spacecraft,” J. Guid. Control Dyn., 22(2), pp. 378–382. [CrossRef]
Sorensen, K. , Daftari, A. , Singhose, W. , and Hekman, K. , 2008, “ Negative Input Shaping: Eliminating Overcurrenting and Maximizing the Command Space,” ASME J. Dyn. Syst. Meas. Control, 130(6), p. 061012. [CrossRef]
Sorensen, K. , 2008, “ Operational Performance Enhancement of Human Operated Flexible Systems,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
Kinceler, R. , and Meckl, P. H. , 1995, “ Input Shaping for Nonlinear Systems,” American Control Conference (ACC), Seattle, WA, June 21–23, pp. 914–918.
Gorinevsky, D. , and Vukovich, G. , 1998, “ Nonlinear Input Shaping Control of Flexible Spacecraft Reorientation Maneuver,” J. Guid. Control Dyn., 21(2), pp. 264–270. [CrossRef]
Sorensen, K. , and Singhose, W. , 2007, “ Oscillatory Effects of Common Hard Nonlinearities on Systems Using Two-Impulse ZV Input Shaping,” American Control Conference (ACC), New York, July 9–13, pp. 5539–5544.
Lawrence, J. , Singhose, W. , and Hekman, K. , 2008, “ Command Shaping Under Nonsymmetrical Acceleration and Braking Dynamic,” ASME J. Vib. Acoust., 130(5), p. 054503. [CrossRef]
Sung, Y.-G. , and Singhose, W. , 2008, “ Deflection-Limiting Commands for Systems With Velocity Limits,” J. Guid. Control Dyn., 31(3), pp. 472–478. [CrossRef]
Danielson, J. , Lawrence, J. , and Singhose, W. , 2008, “ Command Shaping for Flexible Systems Subject to Constant Acceleration Limits,” ASME J. Dyn. Syst. Meas. Control, 130(5), p. 051011. [CrossRef]
Singhose, W. , Seering, W. P. , and Singer, N. C. , 1990, “ Shaping Inputs to Reduce Vibration: A Vector Diagram Approach,” IEEE International Conference on Robotics and Automation, Cincinnati, OH, May 13–18, pp. 922–927.

Figures

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Fig. 4

Segmentation of a start command: (a) range division and (b) segmented profile

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Fig. 2

Equivalent transformation: (a) original command process and (b) equivalent command process

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Fig. 1

Actuator effects to an UMZV shaper

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Fig. 5

Vector diagram of an UMZVc shaper

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Fig. 13

Experimental command accuracy

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Fig. 14

Experimental deflection responses

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Fig. 6

Command completeness effects to tp

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Fig. 7

Command completeness effects to Lm

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Fig. 8

Maximum residual deflection of UMZVc shaper to τa andτd

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Fig. 9

Maximum residual oscillation of UMZVc shaper to τa andtp

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Fig. 10

Robustness of UMZVc shaper to τa/τam and L/Lm

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Fig. 11

Mini-bridge crane

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Fig. 12

Hardware configuration

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Fig. 15

Robustness comparison to L/Lm

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Fig. 16

Robustness to τa/τam

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