Alexander Jimenez-Triana, Guchuan Zhu, Lahcen Saydy
Article (2014)
![]() |
Open Access to the full text of this document Published Version Terms of Use: Creative Commons Attribution Download (1MB) |
Show abstract
Hide abstract
Abstract
The present work addresses the problem of chaos control in an electrostatic MEMS resonator by using an output-feedback control scheme. One of the unstable orbits immersed in the chaotic attractor is stabilized in order to produce a sustained oscillation of the movable plate composing the microstructure. The orbit is carefully chosen so as to produce a high amplitude oscillation. This approach allows the enhancement of oscillation amplitude of the resonator at a reduced control effort, since the unstable orbit already exists in the system and it is not necessary to spend energy to create it. Realistic operational conditions of the MEMS are considered including parametric uncertainties in the model and constraints due to the difficulty in measuring the speed of the plates of the microstructure. A control law is constructed recursively by using the technique of backstepping. Finally, numerical simulations are carried out to confirm the validity of the developed control scheme and to demonstrate the effect of controlling orbits immersed in the chaotic attractor.
Subjects: | 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering |
---|---|
Department: | Department of Electrical Engineering |
PolyPublie URL: | https://publications.polymtl.ca/3459/ |
Journal Title: | Mathematical Problems in Engineering (vol. 2014) |
Publisher: | Hindawi Publishing Corporation |
DOI: | 10.1155/2014/745963 |
Official URL: | https://doi.org/10.1155/2014%2f745963 |
Date Deposited: | 08 Nov 2018 15:37 |
Last Modified: | 12 May 2023 12:41 |
Cite in APA 7: | Jimenez-Triana, A., Zhu, G., & Saydy, L. (2014). Output-Feedback Control of a Chaotic MEMS Resonator for Oscillation Amplitude Enhancement. Mathematical Problems in Engineering, 2014, 1-13. https://doi.org/10.1155/2014%2f745963 |
---|---|
Statistics
Total downloads
Downloads per month in the last year
Origin of downloads
Dimensions