Title :
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
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;
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
DOI :
10.1109/dMEMS.2010.16
