Issue |
MATEC Web Conf.
Volume 148, 2018
International Conference on Engineering Vibration (ICoEV 2017)
|
|
---|---|---|
Article Number | 10001 | |
Number of page(s) | 6 | |
Section | Modelling of Friction and Dynamics of Frictional Oscillators | |
DOI | https://doi.org/10.1051/matecconf/201814810001 | |
Published online | 02 February 2018 |
State Switching of a Multistable Impacting System using PDLike Control
1
School of Engineering, Robert Gordon University, Aberdeen, United Kingdom, AB10 7GJ
2
College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, UK, EX4 4QF
Email: b.liu4@rgu.ac.uk, w.k.fung@rgu.ac.uk
Email: y.liu2@exeter.ac.uk
A new PD-like control law is proposed in this paper to control a multistable impacting system. This control law can switch the system from a current, undesired state to a desired one by using the differences of the displacement and velocity between the current and desired states. The control law can control the multistable system without affecting its original dynamics, and its stability is proved by using the Lyapunov direct method. Numerical results are compared with the results obtained by using the intermittent control studied in [1]. The proposed PD-like control shows a better performance in terms of the smoothness of its control signal, which is easier to be implemented in practical applications.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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