Nonlinear feedback control and dynamics of an electrostatically actuated microbeam filter

H. M. Ouakad, A. H. Nayfeh, S. Choura, E. M. Abdel-Rahman, F. Najar, B. Hamad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This work is concerned with the modeling, nonlinear dynamic analysis and control design of an electrostatically actuated clamped-clamped microbeam filter. The model accounts for the mid-plane stretching and nonlinear form of the electrostatic force actuated along the microbeam span. A reduced-order model is constructed, using the method of multiple scales, to examine the microsystem static and dynamics behaviors. To improve the microbeam behavior, a nonlinear feedback controller is proposed. The main control objective is to make it behave like commonly known one-degree-of-freedom self-excited oscillators, such as the van der Pol and Rayleigh oscillators, which depict attractive filtering features. We present a novel control design that regulates the pass band of the fixed-fixed microbeam and derive analytical expressions that approximate the nonlinear resonance frequencies and amplitudes of the periodic solutions when the microbeam is subjected to one-point and fully-distributed feedback forces.

Original languageEnglish
Title of host publication2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Pages535-542
Number of pages8
EditionPART A
DOIs
Publication statusPublished - Sep 21 2009
Externally publishedYes
Event2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United States
Duration: Oct 31 2008Nov 6 2008

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
NumberPART A
Volume13

Conference

Conference2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
CountryUnited States
CityBoston, MA
Period10/31/0811/6/08

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Ouakad, H. M., Nayfeh, A. H., Choura, S., Abdel-Rahman, E. M., Najar, F., & Hamad, B. (2009). Nonlinear feedback control and dynamics of an electrostatically actuated microbeam filter. In 2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 (PART A ed., pp. 535-542). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 13, No. PART A). https://doi.org/10.1115/IMECE2008-68965