A Multiscale Model of Cantilever Arrays with a Semi-decentralized Approximation of an Optimal Control

Author

Hui, H. ; Yakoubi, Y. ; Lenczner, M. ; Ratier, N.

Author_Institution

Sch. of Mechatron., Northwestern Polytech. Univ., Xi´´an, China

fYear

2010

fDate

28-29 June 2010

Firstpage

56

Lastpage

63

Abstract

In this paper, we present a two-scale model including an optimal active control for a one dimensional cantilever array with regularly spaced actuators and sensors. With the purpose of implementing the control in real time, we propose an approximation that may be realized by an analog distributed electronic circuit. More precisely, our analog processor is made by Periodic Network of Resistances (PNR). The control approximation method is based on two general concepts, namely functions of operators and on the Dunford-Schwartz representation formula. We conducted careful validations of the control approximation method as well as of its effect in the complete control loop.

Keywords

Actuators; Approximation methods; Atomic force microscopy; Distributed control; Hardware; Mechatronics; Micromechanical devices; Optimal control; Sensor arrays; Ultrafast electronics; Cantilevers Arrays; Distributed Analog Electric Circuit; Distributed Control; Semi-Decentralized Approximation; Two-scale Model;

fLanguage

English

Publisher

ieee

Conference_Titel

Hardware and Software Implementation and Control of Distributed MEMS (DMEMS), 2010 First Workshop on

Conference_Location

Besan, TBD, France

Print_ISBN

978-1-4244-7222-2

Electronic_ISBN

978-1-4244-7223-9

Type

conf

DOI

10.1109/dMEMS.2010.16

Filename

5514140