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State switching of a multistable impacting system using PD-like control.

Liu, Boying; Fung, Wai-Keung; Liu, Yang


Boying Liu

Wai-Keung Fung

Yang Liu


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.

Journal Article Type Conference Paper
Start Date Sep 4, 2017
Publication Date Feb 2, 2018
Journal MATEC web of conferences
Electronic ISSN 2261-236X
Publisher EDP Sciences
Peer Reviewed Peer Reviewed
Volume 148
Article Number 10001
Institution Citation LIU, B., FUNG, W.-K. and LIU, Y. 2018. State switching of a multistable impacting system using PD-like control. MATEC web of conferences [online], 148: proceedings of the 2017 International conference on engineering vibration (ICoEV 2017), 4-7 September 2017, Sofia, Bulgaria, article number 10001. Available from:
Keywords Multisability; Multisable systems; Control


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