Resonant Controller Design for a Piezoelectric Tube Scanner: A Mixed Negative-Imaginary and Small-Gain Approach

Author

Das, Sajal K. ; Pota, Hemanshu R. ; Petersen, Ian R.

Author_Institution

Sch. of Eng. & Inf. Technol., Univ. of New South Wales Australian Defence Force Acad., Canberra, ACT, Australia

Volume

22

Issue

5

fYear

2014

fDate

Sept. 2014

Firstpage

1899

Lastpage

1906

Abstract

This brief presents the design and implementation of a single-input single-output and a multiple-input multiple-output resonant controller to damp the first resonant mode of a piezoelectric tube scanner of an atomic force microscope. The design of the controller is based on a mixed negative-imaginary and small-gain approach and the controller structure is chosen such that closed-loop stability is guaranteed. Experimental results are presented to demonstrate the effectiveness of the resonant controller.

Keywords

MIMO systems; atomic force microscopy; closed loop systems; control system synthesis; optical scanners; piezoelectric devices; atomic force microscope; closed-loop stability; controller structure; damp; mixed negative-imaginary and small-gain approach; multiple-input multiple-output resonant controller; piezoelectric tube scanner; resonant controller design; resonant mode; single-input single-output resonant controller; Damping; Frequency control; Frequency measurement; MIMO; Nickel; Resonant frequency; Transfer functions; Atomic force microscope (AFM); mixed negative-imaginary (NI) and small-gain approach; piezoelectric tube scanner (PTS); resonant control; vibration control; vibration control.;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2013.2297375

Filename

6718028