Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach

Sajal K Das; Hemanshu R Pota; Ian Petersen

Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach

Sajal K Das, Hemanshu R Pota, Ian Petersen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper presents the design and implementation of a multi-input multi-output (MIMO) velocity feedback controller (VFC) based on a recent theoretical results on mixed negative-imaginary and small-gain approach to damp the first resonant mode of a piezoelectric tube scanner (PTS) used in atomic force microscopes (AFMs). The identification of the MIMO dynamics of the PTS is done by using the measured data and the mixed negative-imaginary and small-gain approach is used to establish the internal stability between the PTS and the velocity feedback controller. Experimental results are presented to demonstrate the effectiveness of the proposed controller.

Original language	English
Title of host publication	Bias Reduction Based on Maximum Likelihood Estimates with Application in Scan-based Localization
Place of Publication	USA
Publisher	IEEE Computer Society
Pages	5287 - 5292
Edition	Peer Reviewed
ISBN (Print)	9789881563835
Publication status	Published - 2013
Event	32nd Chinese Control Conference (CCC 2013) - Xi'an, China Duration: 1 Jan 2013 → … http://www.proceedings.com/19738.html

Conference

Conference	32nd Chinese Control Conference (CCC 2013)
Period	1/01/13 → …
Other	July 26-28 2013
Internet address	http://www.proceedings.com/19738.html

Cite this

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title = "Multi-variable velocity feedback controller for piezoelectric tube scanner: A {"}mixed{"} negative-imaginary and small-gain approach",

abstract = "This paper presents the design and implementation of a multi-input multi-output (MIMO) velocity feedback controller (VFC) based on a recent theoretical results on mixed negative-imaginary and small-gain approach to damp the first resonant mode of a piezoelectric tube scanner (PTS) used in atomic force microscopes (AFMs). The identification of the MIMO dynamics of the PTS is done by using the measured data and the mixed negative-imaginary and small-gain approach is used to establish the internal stability between the PTS and the velocity feedback controller. Experimental results are presented to demonstrate the effectiveness of the proposed controller.",

author = "Das, {Sajal K} and Pota, {Hemanshu R} and Ian Petersen",

year = "2013",

language = "English",

isbn = "9789881563835",

pages = "5287 -- 5292",

booktitle = "Bias Reduction Based on Maximum Likelihood Estimates with Application in Scan-based Localization",

publisher = "IEEE Computer Society",

edition = "Peer Reviewed",

note = "32nd Chinese Control Conference (CCC 2013) ; Conference date: 01-01-2013",

url = "http://www.proceedings.com/19738.html",

}

Das, SK, Pota, HR & Petersen, I 2013, Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach. in Bias Reduction Based on Maximum Likelihood Estimates with Application in Scan-based Localization. Peer Reviewed edn, IEEE Computer Society, USA, pp. 5287 - 5292, 32nd Chinese Control Conference (CCC 2013), 1/01/13.

Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach. / Das, Sajal K; Pota, Hemanshu R; Petersen, Ian.
Bias Reduction Based on Maximum Likelihood Estimates with Application in Scan-based Localization. Peer Reviewed. ed. USA: IEEE Computer Society, 2013. p. 5287 - 5292.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach

AU - Das, Sajal K

AU - Pota, Hemanshu R

AU - Petersen, Ian

PY - 2013

Y1 - 2013

N2 - This paper presents the design and implementation of a multi-input multi-output (MIMO) velocity feedback controller (VFC) based on a recent theoretical results on mixed negative-imaginary and small-gain approach to damp the first resonant mode of a piezoelectric tube scanner (PTS) used in atomic force microscopes (AFMs). The identification of the MIMO dynamics of the PTS is done by using the measured data and the mixed negative-imaginary and small-gain approach is used to establish the internal stability between the PTS and the velocity feedback controller. Experimental results are presented to demonstrate the effectiveness of the proposed controller.

AB - This paper presents the design and implementation of a multi-input multi-output (MIMO) velocity feedback controller (VFC) based on a recent theoretical results on mixed negative-imaginary and small-gain approach to damp the first resonant mode of a piezoelectric tube scanner (PTS) used in atomic force microscopes (AFMs). The identification of the MIMO dynamics of the PTS is done by using the measured data and the mixed negative-imaginary and small-gain approach is used to establish the internal stability between the PTS and the velocity feedback controller. Experimental results are presented to demonstrate the effectiveness of the proposed controller.

M3 - Conference contribution

SN - 9789881563835

SP - 5287

EP - 5292

BT - Bias Reduction Based on Maximum Likelihood Estimates with Application in Scan-based Localization

PB - IEEE Computer Society

CY - USA

T2 - 32nd Chinese Control Conference (CCC 2013)

Y2 - 1 January 2013

ER -

Multi-variable velocity feedback controller for piezoelectric tube scanner: A "mixed" negative-imaginary and small-gain approach

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