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 language | English |
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Title of host publication | Proceedings of the 2019 18th European Control Conference (ECC) |
Publisher | IEEE Explore |
Pages | 662-667 |
Number of pages | 6 |
ISBN (Electronic) | 978-3-907144-00-8, 978-3-907144-01-5 |
ISBN (Print) | 978-1-7281-1314-2 |
DOIs | |
Publication status | Published - 15 Aug 2019 |
Event | 2019 European Control Conference - Napoli, Italy Duration: 25 Jun 2019 → 28 Jun 2019 |
Conference
Conference | 2019 European Control Conference |
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Country/Territory | Italy |
City | Napoli |
Period | 25/06/19 → 28/06/19 |
Keywords
- stability of nonlinear systems
- MEMS
- nonlinear system theory