Title: Adaptive controllers for a piezoelectric actuator without and with discontinuity

Authors: P.R. Nwagoum Tuwa; Arnaud Notue Kadjié; Paul Woafo

Addresses: Faculty of Sciences, Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon ' Faculty of Sciences, Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon ' Faculty of Sciences, Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

Abstract: This paper deals with the dynamics and adaptive control of a piezoelectric micro-electromechanical device without and with discontinuity. The modelling of the device with a discontinuity is carried out and its dynamics is studied using the bifurcation diagram to observe the regions of periodic and chaotic motions. The Lyapunov theory is used to design adaptive controllers to restore the prescribed dynamics of the system when it is subjected to a short variation of one of its parameters. The efficiency of the controllers is tested using numerical simulations.

Keywords: adaptive control; backstepping control; piezoelectric actuator; discontinuity.

DOI: 10.1504/IJMA.2017.093241

International Journal of Mechatronics and Automation, 2017 Vol.6 No.1, pp.29 - 35

Available online: 03 Jul 2018 *

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