A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS

James D J MacLean, Sumeet S Aphale

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution

Abstract

This paper demonstrates the effectiveness of a modified Linear Integral Resonant Controller based on its original LTI cousin, known just as the `IRC', for suppressing Jump-Phenomena found in MEMS and other Duffing-Type systems wherein the primary nonlinearity is that of the cubic nonlinearity. A Method of Multiple Scales frequency response is derived, explored and compared with a Runge-Kutta based numerical integration method in order to understand any shortcomings in approximate analytical methods for the analysis of closed-loop nonlinear systems with the inclusion of a stability analysis. It is found that there exist some mild behavioural inconsistencies when comparing closed-loop Method of Multiple Scales to traditional numerical integration. Finally, it is shown that with sensibly chosen controller gains, a MEMS with Jump-Phenomena can be made to behave similarly to a linear second order resonant system opening up the possibilities of Laplace Domain and Linear State-Space techniques once more.
Original languageEnglish
Title of host publicationProceedings of the 2019 18th European Control Conference (ECC)
PublisherIEEE Explore
Pages662-667
Number of pages6
ISBN (Electronic)978-3-907144-00-8, 978-3-907144-01-5
ISBN (Print)978-1-7281-1314-2
DOIs
Publication statusPublished - 15 Aug 2019
Event2019 European Control Conference - Napoli, Italy
Duration: 25 Jun 201928 Jun 2019

Conference

Conference2019 European Control Conference
Country/TerritoryItaly
CityNapoli
Period25/06/1928/06/19

Keywords

  • stability of nonlinear systems
  • MEMS
  • nonlinear system theory

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