A Robust Resonant Controller for High-Speed Scanning of Nanopositioners: Design and Implementation

• Published in: IEEE transactions on control systems technology Vol. 28; no. 3; pp. 1116 - 1123
• Main Authors: Ling, Jie, Rakotondrabe, Micky, Feng, Zhao, Ming, Min, Xiao, Xiaohui
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control theory; Controllers; Damping; Damping ratio; Feedback loops; High gain; High-speed scanning; Integrals; Load fluctuation; Mathematical analysis; Nanopositioning; piezoelectric nanopositioner; Positive feedback; Raster scanning; resonant control (RC); Resonant frequency; Robust control; Robustness; Tracking control; Tracking errors; Tracking loops; Trajectory; Uncertainty
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2019.2899566

This brief presents a novel damping control scheme for piezoactuated nanopositioning platforms with robust resonant control (RRC). The RRC is developed to attenuate the resonant-vibrational modes of the lightly damped dynamics of the stage in an inner positive feedback loop. The parameters in the proposed RRC are determined through an analytical approach. Indeed, the controller gains constrained by both the robustness and the damping ratio of the inner loop are tuned based on the small gain theory. Then, a high gain integral tracking controller is applied in the outer loop to minimize the tracking errors due to unmodeled nonlinearity and uncertainties. To validate the effectiveness of the proposed RRC, comparative experiments with conventional positive position feedback (PPF) and integral resonant control (IRC) are conducted on a piezoactuated nanopositioning stage. Results demonstrate that the proposed RRC improves the closed-loop bandwidth from 67 Hz with PPF and 135 Hz with IRC to 176 Hz. Moreover, better robustness against load variations with a range of 0-1000-g loading under 0-20-Hz input raster scanning signals are obtained by RRC compared with PPF as well as IRC.