Nonlinear Proportional Plus Integral Control of Optical Traps for Exogenous Force Estimation.

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Title: Nonlinear Proportional Plus Integral Control of Optical Traps for Exogenous Force Estimation.
Authors: Cole, D. G.1 dgcole@pitt.edu, Pickel, J. G.1 jgp2@pift.edu
Source: Journal of Dynamic Systems, Measurement, & Control. Jan2012, Vol. 134 Issue 1, p11020:1-11020:7. 7p.
Subjects: Optical transducers, Nonlinear theories, Nonlinear control theory, Force & energy, Simulation methods & models
Abstract: This article explores nonlinear proportional plus integral (PI) feedback for controlling the position of an object held in an optical trap. In general, nonlinearities in the spatial dependence of the optical force complicate feedback control for optical traps. Nonlinear PI control has been shown to provide all of the benefits of integral control: disturbance rejection, servo tracking, and force estimation. The controller also linearizes the closed-loop system. More importantly, the nonlinear controller is shown to be equivalent to an estimator of the exogenous force. The ability of nonlinear PI control to lower the measurement SNR is evaluated and compared to the variational open-loop case. A simulation demonstrating the performance of the nonlinear PI control is presented. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Dynamic Systems, Measurement, & Control is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 72324233
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  Data: Nonlinear Proportional Plus Integral Control of Optical Traps for Exogenous Force Estimation.
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  Data: <searchLink fieldCode="AR" term="%22Cole%2C+D%2E+G%2E%22">Cole, D. G.</searchLink><relatesTo>1</relatesTo><i> dgcole@pitt.edu</i><br /><searchLink fieldCode="AR" term="%22Pickel%2C+J%2E+G%2E%22">Pickel, J. G.</searchLink><relatesTo>1</relatesTo><i> jgp2@pift.edu</i>
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  Data: <searchLink fieldCode="DE" term="%22Optical+transducers%22">Optical transducers</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+control+theory%22">Nonlinear control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Force+%26+energy%22">Force & energy</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink>
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  Label: Abstract
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  Data: This article explores nonlinear proportional plus integral (PI) feedback for controlling the position of an object held in an optical trap. In general, nonlinearities in the spatial dependence of the optical force complicate feedback control for optical traps. Nonlinear PI control has been shown to provide all of the benefits of integral control: disturbance rejection, servo tracking, and force estimation. The controller also linearizes the closed-loop system. More importantly, the nonlinear controller is shown to be equivalent to an estimator of the exogenous force. The ability of nonlinear PI control to lower the measurement SNR is evaluated and compared to the variational open-loop case. A simulation demonstrating the performance of the nonlinear PI control is presented. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Dynamic Systems, Measurement, & Control is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1115/1.4004774
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 11020:1
    Subjects:
      – SubjectFull: Optical transducers
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
      – SubjectFull: Nonlinear control theory
        Type: general
      – SubjectFull: Force & energy
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
    Titles:
      – TitleFull: Nonlinear Proportional Plus Integral Control of Optical Traps for Exogenous Force Estimation.
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            NameFull: Cole, D. G.
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              Text: Jan2012
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              Y: 2012
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