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Pd control of a press platform and a proof of stability using the hunt-crossley model

Authors
Nam, J.-U.Yang, Y.-J.Lim, S.Yoon, T.-W.
Issue Date
2019
Publisher
Institute of Control, Robotics and Systems
Keywords
Hunt-Crossley model; Invariant set; Lyapunov stability; PD force control; Wind power blade
Citation
Journal of Institute of Control, Robotics and Systems, v.25, no.3, pp.187 - 193
Indexed
SCOPUS
KCI
Journal Title
Journal of Institute of Control, Robotics and Systems
Volume
25
Number
3
Start Page
187
End Page
193
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/70772
DOI
10.5302/j.icros.2019.18.0207
ISSN
1976-5622
Abstract
This paper presents a PD force controller for a press platform to inspect the surface of a wind power blade. The Hunt-Crossly model is employed for the platform, where the force is composed of a nonlinear spring and a damper. Considering the shape of the probe, this model is more accurate than the linear spring-damper models because it captures some of the nonlinearities of the platform. However, the nonlinearities make it harder to assess the stability of the closed-loop. This problem is solved by designing a Lyapunov function and an invariant set, which leads to a stability proof. Simulations and experiments are performed, and the results are consistent with this mathematical analysis. The effectiveness of the control scheme is also observed in the simulations and experiments. © ICROS 2019.
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