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

James D J MacLean, Sumeet S Aphale

Research output: Contribution to conferencePaper

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
Publication statusAccepted/In press - 20 Feb 2019
Event2019 European Control Conference - Napoli, Italy
Duration: 25 Jun 201928 Jun 2019

Conference

Conference2019 European Control Conference
CountryItaly
CityNapoli
Period25/06/1928/06/19

Fingerprint

MEMS
Controllers
Frequency response
Nonlinear systems

Keywords

  • stability of nonlinear systems
  • MEMS
  • nonlinear system theory

Cite this

MacLean, J. D. J., & Aphale, S. S. (Accepted/In press). A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS. Paper presented at 2019 European Control Conference , Napoli, Italy.

A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS. / MacLean, James D J; Aphale, Sumeet S.

2019. Paper presented at 2019 European Control Conference , Napoli, Italy.

Research output: Contribution to conferencePaper

MacLean, JDJ & Aphale, SS 2019, 'A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS' Paper presented at 2019 European Control Conference , Napoli, Italy, 25/06/19 - 28/06/19, .
MacLean JDJ, Aphale SS. A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS. 2019. Paper presented at 2019 European Control Conference , Napoli, Italy.
MacLean, James D J ; Aphale, Sumeet S. / A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS. Paper presented at 2019 European Control Conference , Napoli, Italy.
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AB - 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.

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