TY - GEN
T1 - Nonlinear feedback control and dynamics of an electrostatically actuated microbeam filter
AU - Ouakad, H. M.
AU - Nayfeh, A. H.
AU - Choura, S.
AU - Abdel-Rahman, E. M.
AU - Najar, F.
AU - Hamad, B.
PY - 2009/9/21
Y1 - 2009/9/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70349084930&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349084930&partnerID=8YFLogxK
U2 - 10.1115/IMECE2008-68965
DO - 10.1115/IMECE2008-68965
M3 - Conference contribution
AN - SCOPUS:70349084930
SN - 9780791848746
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 535
EP - 542
BT - 2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
T2 - 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Y2 - 31 October 2008 through 6 November 2008
ER -