Journal of the Korean Society of Marine Environment & Safety (해양환경안전학회지)

The Korean Society of Marine Environment and safety (해양환경안전학회)
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Active Stabilization for Surge Motion of Moored Vessel in Irregular Head Waves

불규칙 선수파랑 중 계류된 선박의 전후동요 제어

  • Lee, Sang-Do (Division of Navigation & Information System, Mokpo National Maritime University) ;
  • Truong, Ngoc Cuong (Department of Logistics Engineering, Korea Maritime and Ocean University) ;
  • Xu, Xiao (Department of Logistics Engineering, Korea Maritime and Ocean University) ;
  • You, Sam-Sang (Division of Mechanical Engineering, Korea Maritime and Ocean University)
  • Received : 2020.06.12
  • Accepted : 2020.08.28
  • Published : 2020.08.31
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Abstract

This study was focused on the stabilization of surge motions of a moored vessel under irregular head seas. A two-point moored vessel shows strong non-linearity even in regular sea, owing to its inherent non-linear restoring force. A long-crested irregular wave is subjected to the vessel system, resulting in more complex nonlinear behavior of the displacement and velocities than in the case of regular waves. Sliding mode control (SMC) is implemented in the moored vessel to control both surge displacement and surge velocity. The SMC can provide a closed-loop system with performance and robustness against parameter uncertainties and disturbances; however, chattering is the main drawback for implementing SMC. The goal of minimizing the chattering and state convergence with accuracy is achieved using a quasi-sliding mode that approximates the discontinuous function via a continuous sigmoid function. Numerical simulations were conducted to validate the effectiveness of the proposed control algorithm.

본 논문에서는 불규칙 선수파랑 조건에서 선박계류시스템의 전후동요를 억제하는 연구를 수행하였다. 두점식 계류시스템은 비선형복원력의 특성으로 인하여 규칙파 조건에서도 강한 비선형 응답 특성을 보인다. 종방향 불규칙 장파가 외란으로 선박계류시스템에 작용하게 되면 규칙파 외력이 입사하는 경우보다 변위와 속도에서 더욱 복잡한 비선형 거동이 발생한다. 계의 종동요 변위와 속도를 동시에 억제하기 위하여 슬라이딩모드 제어법(SMC)을 적용하였다. SMC는 매개변수의 불확실성 및 외란에 대한 강인성을 갖는 폐루프 시스템을 제공하지만, 채터링은 이 제어법을 사용할 때 큰 단점이 된다. 본 연구에서는 준 슬라이딩모드의 시그모이드 함수를 이용하여 불규칙 해양파의 외란 조건에서 채터링을 줄이고. 수렴의 정확성에 도달하는 목표를 달성하였다. 제어법의 유효성은 수치시뮬레이션을 통해 증명하였다.

Keywords

References

  1. Banik, A. K. and T. K. Datta(2010), Stability Analysis of Two-Point Mooring System in Surge Oscillation, Journal of Computational and Nonlinear Dynamics, Vol. 5, pp. 1-8 (021005).
  2. Cuong, T. N., X. Xu, S. D. Lee, and S. S. You(2020), Dynamic analysis and management optimization for maritime supply chains using nonlinear control theory, Journal of International Maritime Safety, Environmental Affairs, and Shipping Vol. 4, No. 2, pp. 48-55. https://doi.org/10.1080/25725084.2020.1784530
  3. Edwards, C. and Y. B. Shtessel(2016), Adaptive Continuous Higher Order Sliding Mode Control, Automatica, Vol. 65, pp. 183-190. https://doi.org/10.1016/j.automatica.2015.11.038
  4. Ellermann, K.(2005), Dynamics of a Moored Barge under Periodic and Randomly Disturbed Excitation, Ocean Engineering, Vol. 32, pp. 1420-1430. https://doi.org/10.1016/j.oceaneng.2004.11.004
  5. Fossen, T. I.(2011), Handbook of Marine Craft Hydrodynamics and Motion Control, John Wiley & Sons Ltd, pp. 192-211.
  6. Gottlieb, O. and S. C. S. Yim(1992), Nonlinear Oscillations, Bifurcations and Chaos in a Multi-Point Mooring System with a Geometric Nonlinearity, Applied Ocean Research, Vol. 14, pp. 241-257. https://doi.org/10.1016/0141-1187(92)90029-J
  7. Khadra, F. A.(2016), Super-Twisting Control of the Duffing-Holmes Chaotic System, International Journal of Modern Nonlinear Theory and Application, Vol. 5, pp. 160-170. https://doi.org/10.4236/ijmnta.2016.54016
  8. King, P. E. and S. C. Yim(2007), Stochastic Control of Sensitive Nonlinear Motions of an Ocean Mooring System, Journal of Offshore Mechanics and Arctic Engineering, Vol. 129, pp. 29-38. https://doi.org/10.1115/1.2428323
  9. Kuo, T. C., Y. J. Huang, C. H. Chang, and C. Y. Chen(2008), Robust Suppression Sliding Mode Control for Uncertain Duffing-Holmes Chaotic Systems, Engineering Letters, Vol. 16, No. 3, pp. 316-320.
  10. Lee, S. D., B. D. H. Phuc, X. Xu, and S. S. You(2020), Roll Suppression of Marine Vessels using Adaptive Super-twisting Sliding Mode Control Synthesis, Ocean Engineering, Vol. 195, 106724. https://doi.org/10.1016/j.oceaneng.2019.106724
  11. Lee, S. D. and S. S. You(2018a), Dynamical Analysis of the Moored Vessel System under Surge Excitations, Journal of the Korean Society of Marine Environment & Safety, Vol. 24, No. 2. pp. 140-145. https://doi.org/10.7837/kosomes.2018.24.2.140
  12. Lee, S. D. and S. S. You(2018b), Dynamical Rolling Analysis of a Vessel in regular beam seas, Journal of the Korean Society of Marine Environment & Safety, Vol. 24, No. 3. pp. 325-331. https://doi.org/10.7837/kosomes.2018.24.3.325
  13. Lee, S. D. and S. S. You(2018c), Sliding Mode Control with Super-twisting Algorithm for Surge Oscillation of Mooring Vessel System, Journal of the Korean Society of Marine Environment & Safety, Vol. 24, No. 7. pp. 953-959. https://doi.org/10.7837/kosomes.2018.24.7.953
  14. Lee, S. D., X. Xu, H. S. Kim, and S. S. You(2019), Adaptive Sliding Mode control Synthesis of Maritime Autonomous Surface ship, Journal of the Korean Society of Marine Environment & Safety, Vol. 25, No. 3. pp. 306-312. https://doi.org/10.7837/kosomes.2019.25.3.306
  15. Loria, A., E. Panteley, and H. Nijmeijer(1998), Control of the Chaotic Duffing Equation with Uncertainty in All Parameters, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 45, No. 12, pp. 1252-1255. https://doi.org/10.1109/81.736558
  16. Mitra, R. K., A. K. Banik, and S. Chatterjee(2017), State Feedback Control of Surge Oscillations of Two-Point Mooring System, Journal of Sound and Vibration, Vol. 386, pp. 1-20. https://doi.org/10.1016/j.jsv.2016.07.038
  17. Perez, P.(2005), Ship Motion Control: Course Keeping and Roll Stabilization using Rudder and Fins, Springer-Verlag London Limited, pp. 27-44.
  18. Shah, A. A., A. Umar, and N. A. Siddiqui(2005), A Methodology for Assessing the Reliability of Taut and Slack Mooring Systems against Instability, Ocean Engineering, Vol. 32, pp. 1216-1234. https://doi.org/10.1016/j.oceaneng.2004.11.002
  19. Shtessel, Y. B., M. Taleb, and F. Plestan(2012), A Novel Adaptive-gain Super-twisting Sliding Mode Controller: Methodology and Application, Automatica, Vol. 48. pp. 759-769. https://doi.org/10.1016/j.automatica.2012.02.024
  20. Shtessel, Y., C. Edwards, L. Fridman, and A. Levant(2014), Sliding Mode Control and Observation, Springer New York: Birkhauser, pp. 1-41.
  21. Umar, A., T. K. Datta, and S. Ahmad(2010), Complex Dynamics of Slack Mooring System Under Wave and Wind Excitations, The Open Oceanography Journal, Vol. 4, pp. 9-31. https://doi.org/10.2174/1874252101004010009
  22. Xu, X., S. D. Lee, H. S. Kim, and S. S. You(2020), Management and optimization of chaotic supply chain system using adaptive sliding mode control algorithm, International Journal of Production Research, DOI:10.1080/00207543.2020.1735662.