Minimax LQG controller design for nanopositioners

Sajal K. Das, Obaid Ur Rehman, Hemanshu R. Pota, Ian R. Petersen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Citations (Scopus)

Abstract

A design and experimental implementation of a minimax linear-quadratic-Gaussian (LQG) controller to damp the resonant modes of a piezoelectric tube scanner (PTS) used in most commercial atomic force microscopes is presented in this paper. The controller design is presented to account two uncertainties in the system which arises due to (a) the spill over dynamics of the PTS at high frequencies and (b) changes in resonance frequency of the scanner which occur due to the various loads on the scanner or due to the environmental factors such as temperature and humidity. The effectiveness of the proposed controller is presented by experimental results and the experimental results show that, the proposed controller is able to flatten down the frequency response of the PTS by providing 18 dB damping of the first resonant mode of the scanner.

Original languageEnglish
Title of host publication2014 European Control Conference, ECC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1933-1938
Number of pages6
ISBN (Electronic)9783952426913
DOIs
Publication statusPublished - 22 Jul 2014
Externally publishedYes
Event13th European Control Conference, ECC 2014 - Strasbourg, France
Duration: 24 Jun 201427 Jun 2014

Publication series

Name2014 European Control Conference, ECC 2014

Conference

Conference13th European Control Conference, ECC 2014
Country/TerritoryFrance
CityStrasbourg
Period24/06/1427/06/14

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