Robust control design for an uncertain electrostatic micro-mechanical system via loop shaping

作者: Argyrios C. Zolotas , Anthony Tzes , Marialena Vagia

DOI: 10.23919/ECC.2007.7068945

关键词:

摘要: This paper presents the design of a robust model-based controller coupled to feed-forward compensator set-point regulation maneuvers an electrostatic micro-mechanical actuator system (eµm-A) with uncertainty on its supporting springs. Linearised models nonlinear are considered at multiple operating points for short-range in distances smaller than systems bifurcation point, while feedforward provides nominal voltage. The controller, designed via ℋ ∞ loop-shaping, handles any perturbations around these guarantees robustness against switching nature linearized dynamics. Moreover, successfully tolerates variation system's uncertain parameter. performance is assessed number appropriate simulation studies prove efficacy.

参考文章(26)
W.T. van Horssen, Zarubinskaya, On the free vibrations of a rectangular plate with two opposite sides simply supported and the other sides attached to linear springs Reports of the Department of Applied Mathematical Analysis. ,(2003)
K. Glover, D. McFarlane, Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty IEEE Transactions on Automatic Control. ,vol. 34, pp. 821- 830 ,(1989) , 10.1109/9.29424
Marialena Vagia, George Nikolakopoulos, Anthony Tzes, Intelligent Robust Controller Design for a Micro-actuator Journal of Intelligent and Robotic Systems. ,vol. 47, pp. 299- 315 ,(2006) , 10.1007/S10846-006-9070-4
Suk-Yoon Hong, Vasundara V Varadan, Vijay K Varadan, Implementation of coupled mode optimal structural vibration control using approximated eigenfunctions Smart Materials and Structures. ,vol. 7, pp. 63- 71 ,(1998) , 10.1088/0964-1726/7/1/008
Sung Q Lee, Yongsang Kim, Dae-Gab Gweon, Continuous gain scheduling control for a micro-positioning system: simple, robust and no overshoot response Control Engineering Practice. ,vol. 8, pp. 133- 138 ,(2000) , 10.1016/S0967-0661(99)00147-1
C. Du, G. Guo, D. Wu, Low-hump sensitivity function design for dual-stage HDD systems with different microactuators IEE proceedings. Control theory and applications. ,vol. 152, pp. 655- 661 ,(2005) , 10.1049/IP-CTA:20045024
Hongzhong Liu, Bingheng Lu, Yucheng Ding, Yiping Tang, Dichen Li, A motor-piezo actuator for nano-scale positioning based on dual servo loop and nonlinearity compensation Journal of Micromechanics and Microengineering. ,vol. 13, pp. 295- 299 ,(2003) , 10.1088/0960-1317/13/2/318
Sung PB Chang, Demonstration of robust micromachined jet technology and its application to realistic flow control problems Journal of Mechanical Science and Technology. ,vol. 20, pp. 554- 560 ,(2006) , 10.1007/BF02916486
F Najar, S Choura, S El-Borgi, E M Abdel-Rahman, A H Nayfeh, Modeling and design of variable-geometry electrostatic microactuators Journal of Micromechanics and Microengineering. ,vol. 15, pp. 419- 429 ,(2005) , 10.1088/0960-1317/15/3/001