Stabilization of parametric roll resonance with active u-tanks via Lyapunov control design

Holden, Christian, Galeazzi, Roberto, Fossen, Thor I., & Perez, Tristan (2009) Stabilization of parametric roll resonance with active u-tanks via Lyapunov control design. In Proceedings of the European Control Conference 2009, European Union Control Association (EUCA), Budapest, Hungary, pp. 4889-4894.


Parametric ship roll resonance is a phenomenon where a ship can rapidly develop high roll motion while sailing in longitudinal waves. This effect can be described mathematically by periodic changes of the parameters of the equations of motion, which lead to a bifurcation. In this paper, the control design of an active u-tank stabilizer is carried out using Lyapunov theory. A nonlinear backstepping controller is developed to provide global exponential stability of roll. An extension of commonly used u-tank models is presented to account for large roll angles, and the control design is tested via simulation on a high-fidelity model of a vessel under parametric roll resonance.

Impact and interest:

Search Google Scholar™

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

69 since deposited on 19 May 2014
18 in the past twelve months

Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 71802
Item Type: Conference Paper
Refereed: Yes
Additional URLs:
Keywords: Parametric roll resonance, Nonlinear control, Lyapunov methods, Bifurcation
ISBN: 9789633113691
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: © Copyright EUCA 2009
Deposited On: 19 May 2014 23:07
Last Modified: 30 Jun 2017 01:53

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page