Semi-Decentralized Approximation of a LQR-Based Controller for a One-Dimensional Cantilever Array

H. Hui (1) , Y. Yakoubi (1) , Michel Lenczner (1) , N. Ratier (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

We apply the method of semi-decentralized approximation, introduced in Lenczner and Yakoubi [2009] and Yakoubi [2010], to the linear quadratic regulation of a one-dimensional array of cantilevers with regularly spaced actuators and sensors. It is based on two mathematical concepts, namely on functions of operators, and on the Cauchy integral formula. We evaluate its performances and the errors of approximation. We also propose its implementation in terms of an analog processor, namely a periodic network of resistors. The presented application is based on a two-scale model representing an array of cantilevers. We shortly explain its genesis before to state it in details, and to show validation results.

Domaines: Electronique

H. Hui, Y. Yakoubi, Michel Lenczner, N. Ratier. Semi-Decentralized Approximation of a LQR-Based Controller for a One-Dimensional Cantilever Array. 18th IFAC World Congress, Aug 2011, Milano, Italy. pp.1422-1428, ⟨10.3182/20110828-6-IT-1002.03451⟩. ⟨hal-00677113⟩