CFP last date
20 January 2025
Reseach Article

Adaptive Control of an Electrostatic Micro-Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion

by Reza Nadafi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 103 - Number 1
Year of Publication: 2014
Authors: Reza Nadafi
10.5120/18041-8924

Reza Nadafi . Adaptive Control of an Electrostatic Micro-Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion. International Journal of Computer Applications. 103, 1 ( October 2014), 34-38. DOI=10.5120/18041-8924

@article{ 10.5120/18041-8924,
author = { Reza Nadafi },
title = { Adaptive Control of an Electrostatic Micro-Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 103 },
number = { 1 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 34-38 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume103/number1/18041-8924/ },
doi = { 10.5120/18041-8924 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:33:27.710371+05:30
%A Reza Nadafi
%T Adaptive Control of an Electrostatic Micro-Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion
%J International Journal of Computer Applications
%@ 0975-8887
%V 103
%N 1
%P 34-38
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a model reference adaptive control is designed for perfect tracking of moveable electrode of an electrostatic microactuator. The adaptive control of the nonlinear model of this microactuator is constituted feedback control and adaptation law. A Lyapunov function is presented that it guarantees perfect tracking and parameter convergences. The simulation shows designed adaptive control to have robustness appropriately against limited parameter varieties. Furthermore, input control is far from saturation condition.

References
  1. Borovic B, Hong C, Liu AQ, Xie L, Lewis FL. Control of a MEMS optical switch. In: Proceeding of the 43rd IEEE conference on decision and control; 2004. p. 3039–44.
  2. Borovic B, Liu AQ, Popa D, Cai H, Lewis FL. Open-loop versus closed-loop control of MEMs devices: choices and issues. J Micromech Microeng 2005;15:1917–24.
  3. Bhansali S, Zhang AL, Zmood RB, Jones PE, Sood DK. Prototype feedbackcontrolled bidirectional actuation system for MEMS applications. J Microelectromech Syst 2000;9(2):245–51.
  4. Maithripala DHS, Berg JM, Dayawansa WP. Nonlinear dynamic output feedback stabilization of electrostatically actuated MEMS. In: Proceeding of the 42nd IEEE conference on decision and control, vol. 1; 2003a. p. 61–6.
  5. Maithripala DHS, Berg JM, Dayawansa WP. Capacitive stabilization of an electrostatic actuator: an output feedback viewpoint. In: Proceedings of the 2003b American control conference. p. 4053–58.
  6. Maithripala DHS, Berg JM, Dayawansa WP. Control of an electrostatic microelectromechanical system using static and dynamic output feedback. ASME J Dyn Syst, Measure, Control 2005a;127(3):443–50.
  7. Maithripala DHS, Berg JM, Dayawansa WP. A general modeling and control framework for electrostatically actuated mechanical systems. Int J Robust Nonlinear Control 2005b;15:839–57.
  8. Marialena Vagia, George Nikolakopoulos, Anthony Tzes, "Design of a robust PID-control switching scheme for an electrostatic microactuator," Journal of Control Engineering Practice, Volume 16, pp. 1321– 1328, 2008.
  9. Owusu KO, Lewis FL. Solving the ''Pull-in" instability problem of electrostatic microactuators using nonlinear control techniques. In: Proceedings of the second IEEE international conference on nano/micro engineered and molecular systems; 2007. p. 1190–95.
  10. Wenlei Li a,b, Peter X. Liu, "Robust adaptive tracking control of uncertain electrostatic micro-actuators with H-infinity performance," Journal of Mechatronics, Volume 19, pp. 591–597, 2009.
  11. Zhu GC, Lévine J, Praly L. Improving the performance of an electrostatically actuated MEMS by nonlinear control: advances and comparison. In: Proceeding of the IEEE conference on decision and control 2005 and 2005 European control conference. p. 7534–39.
  12. Zhu GC, Lévine J, Praly L, Peter Y-A. Flatness-based control of electrostatically actuated MEMS with application to adaptive optics: a simulation study. J Microelectromech Syst 2006;15(5):1165–74.
  13. Zhu GC, Lévine J, Praly L. Stabilization of an electrostatic MEMS including uncontrollable linearization. In: Proceedings of the 46th IEEE conference on decision and control; 2007. p. 2433–38.
  14. Zhu GC, Penet J, Saydy L. Robust control of an electrostatically actuated MEMS in the presence of parasitics and parametric uncertainties. In: Proceedings of the 2006 American control conference. p. 1233–38.
Index Terms

Computer Science
Information Sciences

Keywords

Electrostatic microactuator adaptive control Lyapunov stability criterion.