H∞ Robust Control of a Large-Piston MEMS Micromirror for Compact Fourier Transform Spectrometer Systems

Huipeng Chen; Mengyuan Li; Yi Zhang; Huikai Xie; Chang Chen; Zhangming Peng; Shaohui Su

doi:10.3390/s18020508

H∞ Robust Control of a Large-Piston MEMS Micromirror for Compact Fourier Transform Spectrometer Systems

Sensors (Basel). 2018 Feb 8;18(2):508. doi: 10.3390/s18020508.

Authors

Huipeng Chen¹, Mengyuan Li^{2

3}, Yi Zhang⁴, Huikai Xie⁵, Chang Chen⁶, Zhangming Peng⁷, Shaohui Su⁸

Affiliations

¹ School of Mechanical Engineering, HangZhou DianZi University, Hangzhou 310018, China. hpchen@hdu.edu.cn.
² Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA. limengyuan@ufl.edu.
³ School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China. limengyuan@ufl.edu.
⁴ College of Mechanical and Electronic Engineering, Shangdong University of Science and Technology, Qingdao 266590, China. zhangyi@sdust.edu.cn.
⁵ Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA. hkxie@ece.ufl.edu.
⁶ School of Mechanical Engineering, HangZhou DianZi University, Hangzhou 310018, China. chenchang@hdu.edu.cn.
⁷ School of Mechanical Engineering, HangZhou DianZi University, Hangzhou 310018, China. pzm@hdu.edu.cn.
⁸ School of Mechanical Engineering, HangZhou DianZi University, Hangzhou 310018, China. sshhui@hdu.edu.cn.

Abstract

Incorporating linear-scanning micro-electro-mechanical systems (MEMS) micromirrors into Fourier transform spectral acquisition systems can greatly reduce the size of the spectrometer equipment, making portable Fourier transform spectrometers (FTS) possible. How to minimize the tilting of the MEMS mirror plate during its large linear scan is a major problem in this application. In this work, an FTS system has been constructed based on a biaxial MEMS micromirror with a large-piston displacement of 180 μm, and a biaxial H∞ robust controller is designed. Compared with open-loop control and proportional-integral-derivative (PID) closed-loop control, H∞ robust control has good stability and robustness. The experimental results show that the stable scanning displacement reaches 110.9 μm under the H∞ robust control, and the tilting angle of the MEMS mirror plate in that full scanning range falls within ±0.0014°. Without control, the FTS system cannot generate meaningful spectra. In contrast, the FTS yields a clean spectrum with a full width at half maximum (FWHM) spectral linewidth of 96 cm^-1 under the H∞ robust control. Moreover, the FTS system can maintain good stability and robustness under various driving conditions.

Keywords: Fourier transform spectrometer; active tilting rejection; bimorph actuator modeling; electrothermal micromirror; robust control.