THE SOFTWARE PACKAGE FOR THE CATAMARAN ROLL STAND IN WIND WAVE CONDITIONS SIMULATION

  • I.U. Lipko Sevastopol State University
Keywords: Test bench, catamaran roll, Kalman filter, software package, Stewart platform

Abstract

The article is devoted to the actual problem of catamaran roll imitation, software and algorithms
that allow to implement this simulation. The relevance arises from the need to test navigation devices and
their algorithms, to build large simulator complexes to reproduce roll and impulses of surface, air and
ground-based vehicles. This article will focus on the description of software and algorithms for developing
a roll simulator of a catamaran located on the sea surface when it disturbed by windwave influences.
The simulation test bench for reproducing the catamaran roll includes a Stewart platform, sensors, microcontrollers
and an operator's personal computer. The upper part of the platform moves like the deck of a
catamaran, and the lower part is rigidly fixed. The experimental results are taken into account by sensors
mounted on a movable part and processed by a microcontroller-navigation system prototype. It is believed
that the navigation system should receive data about the pitching object and return to the operator a state
vector containing the angle and speed of roll, angle and speed of pitch, height and speed of heave.
The applied mathematical models describe the dynamics of a catamaran and a control system that reduces
the amplitude of pitching, external disturbances of the sea wave formed by the Pearson-Moskowitz spectrum.
To obtain the catamaran's roll trajectories, the Runge-Kutta 4th order algorithm with a fixed step is
implemented, and for filtering and restoring the full vector of catamaran states the Kalman filter is implemented
according to the “delayed” scheme. Software has been developed to reproduce the roll of a catamaran
on a simulation test bench, filter and restore the state vector, graphically display the results of the
experiment in the form of graphs, and save the results in files. For a better interpretation of the results, the
input parameters of the graphical interface and algorithms have simple visual parameters: the wind speed
and direction, the initial state of the catamaran and the service ones, and the results are presented in the
form of graphs. The article provides a detailed description of the relationship between program modules,
applied mathematical algorithms, and input and output parameters. The simulation results show a sufficient
quality of reproduction of the rolling of the catamaran. However, minor errors were identified due to
the mechanical limitations of the applied kinematic model.

References

1. Vagushchenko L.L., Vagushchenko A.L., Zaichko S.I. Bortovye avtomatizirovannye sistemy kontrolya
morekhodnosti [Onboard automation systems of seakeeping]. Odessa: Feniks, 2005, 272 p.
2. Boroday I.K., Zhivitsa S.G., Platonov V.G. Morekhodnost' korablya i puti ee izucheniya (k 50-letiyu
laboratorii morekhodnosti) [Ship seakeeping and the ways of studying it (to the 50th anniversary of
Seakeeping Laboratory)], Tr. Krylovskogo gosudarstvennogo nauchnogo tsentra [Transactions of the
Krylov State Research Centre], 2018, No. 2 (384), pp. 147-152.
3. Akhmediev N., Chabchoub A., Hoffmann N., Onorato M. Super Rogue Waves: Observation of a Higher-
Order Breather in Water Waves // Phys. Rev. – 2012. – P. 2-7.
4. Dematteis G., Grafke T., Vanden-Eijnden E. Rogue Waves and Large Deviations in Deep Sea, Proceedings
of the National Academy of Sciences, 2018, Vol. 115, No. 5, pp. 855-860.
5. Stewart D. A Platform with Six Degrees of Freedom, Proceedings of the Institution of Mechanical
Engineers, 1965, Vol. 180, pp. 371-378.
6. Andrievsky B. et al. Control of pneumatically actuated 6-DOF Stewart platform for driving simulator,
19th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje,
2014, pp. 663-668.
7. Krasnov E.I., Mikhaylov V.V., Sergeev S.L., Stuchenkov A.B. Development of a motion system for a
training simulator based on Stewart platform, International Conference “Stability and Control Processes”
in emory of V.I. Zubov, St. Petersburg, 2015, pp. 99-101.
8. Silva- uñiz Diego, Campos Julio, Fernández Enrique. Stewart Platform Motion Control Automation
with Industrial Resources to Perform Cycloidal and Oceanic Wave Trajectories, Machines, 2022. DOI:
10. 711. 10.3390/machines10080711.
9. Lebrón . , Valente V., Sobczyk ., Perondi E. Control of an Electrohydraulic Stewart Platform Manipulator
as Vessels Motion Simulator, 9th FPNI Ph.D. Symposium on Fluid Power, 2016.
V001T01A033. DOI: 10.1115/FPNI2016-1553.
10. Villacís C. et al. Real-time flight simulator construction with a network for training pilots using mechatronics
and cyber-physical system approaches, 2017 IEEE International Conference on Power, Control,
Signals and Instrumentation Engineering, Chennai, pp. 238-247.
11. Advani Sunjoo, Hosman Ruud, Potter Mario. Objective Motion Fidelity Qualification in Flight Training
Simulators, 2007. DOI: 10.2514/6.2007-6802.
12. Affan Muhammad, Ahmed Syed, Manek Ali, Uddin Riaz. Design and Implementation of the Washout
Filter for the Stewart-Gough Motion Platform, 2019, pp. 415-419.
13. Zhu Daoyang, Yan Jun, Duan Shaoli. A Design of Nonlinear Scaling and Nonlinear Optimal Motion
Cueing Algorithm for Pilot's Station, Wuhan University Journal of Natural Sciences, 2021, Vol. 26,
pp. 513-520.
14. Lukianov Petro, Kabanyachyi Volodymyr. Mathematical model of stable equilibrium operation of the
flight simulator based on the Stewart platform, Aviation, 2023, Vol. 27, pp. 119-128.
15. Lipko I.Yu. Modelirovanie redkikh sobytiy kachki bespilotnogo katamarana [Rare roll event modeling
of unmanned catamaran], Morskie intellektual'nye tekhnologii [Marine intellectual technologies],
2021, No. 4-1 (54), pp. 219-226.
16. Fossen T.I. Handbook of marine craft hydrodynamics and motion control. Jhon Wiley & Sons, 2011.
ISBN 978-1-119-99149-6.
17. Kramar V. Development of the particular vessel mathematical models, Annals of DAAAM and Proceedings
of the International DAAAM Symposium, 2016, Vol. 27, Issue 1, pp. 34-39.
18. Galeazzi R., Christian H., Mogens B., Fossen T. I. Stabilisation of parametric roll resonance by combined
speed and fin stabilizer control, Proceedings of the European Control Conference, Budapest,
Hungary, 2009, pp. 4895-4900.
19. Lopatukhin L.I., Bukhanovskiy A.V., Chernysheva E.S. Spravochnye dannye po rezhimu vetra i
volneniya Beringova i Belogo morey [Reference data on the wind and wave regime of the Bering and
White Seas]. Rossiyskiy morskoy registr sudokhodstva [Russian Maritime Register of Shipping],
2010, 566 p. ISBN 978-5-89331-135-8.
20. Lewis F.L., Xie L., Popa D. Optimal and Robust Estimation: With an Introduction to Stochastic Control
Theory. 2nd ed. CRC Press, 2017.
Published
2024-05-28
Section
SECTION I. CONTROL SYSTEMS AND MODELING