Vibration Control in MEMS Resonator Using Positive Position Feedback (PPF) Controller

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 11

Abstract

In this paper, the vibration of a micro-electromechanical resonator with positive position feedback controller is studied. The analytical results are obtained to the first order approximation by using the multiple scale perturbation technique. The stability of the steady-state solution is presented and studied applying frequency response equations near the simultaneous primary and internal resonance cases. The effects of the controller and some system parameters on the vibrating system are studied numerically. The main result of this paper indicates that it is possible to reduce the vibration for the resonator system.

Authors and Affiliations

Y A Amer, A. T EL Sayed, A. M. Salem

Keywords

Related Articles

On the average order the number of divisors of a positive integer n, and the number of distinct prime divisors of n

Let  (n) denote the number of divisors of a positive integer n, and  let  (n) is the number of distinct prime divisors of n. De Koninck and Ivic [1] have  been proved the asymptotic formula for...

FEASIBILTY ANALYSIS OF WALKING OF PASSIVE DYNAMIC BIPED ROBOT

  Passive dynamic walking is an essential development for the biped robots. So the focus of our work is a systematic analysis of the passive walk of a planar biped robot on an inclined slope. The dynamics of passiv...

A paradigm shift in mathematical physics, Part 2: A new local realism explains Bell test & other experiments

An earlier article in this journal introduced a renegade theory called the Theory of Elementary Waves (TEW). Whereas quantum mathematics (QM) is a science of observables, TEW is a science of physical nature independent o...

Generalized closed sets in ditopological texture spaces with application in rough set theory

In this paper, the counterparts of generalized open (g-open) and generalized closed (g-closed) sets for ditopological texture spaces are introduced and some of their characterizations are obtained. Some characterizations...

Radius of Strong Starlikeness for Some Classes of Analytic Functions

Let φ(z) be an analytic function with positive real part on ∆ ={z; |z| < 1} with φ(0) = 1, φ0(0) > 0 which maps the unit disk ∆ ontoa region starlike with respect to 1 and symmetric with respect to the real...

Download PDF file
  • EP ID EP651749
  • DOI 10.24297/jam.v12i11.1114
  • Views 170
  • Downloads 0

How To Cite

Y A Amer, A. T EL Sayed, A. M. Salem (2016). Vibration Control in MEMS Resonator Using Positive Position Feedback (PPF) Controller. JOURNAL OF ADVANCES IN MATHEMATICS, 12(11), 6821-6834. https://europub.co.uk/articles/-A-651749