Prediction of planing craft motion based on grey system theory

Abstract

In order to minimize the harm caused by the instability of a planing craft, a motion prediction model is essential. This paper analyzed the feasibility of using an MGM(1,N) model in grey system theory to predict planing craft motion and carried out the numerical simulation experiment. According to the characteristics of planing craft motion, a recurrence formula was proposed of the parameter matrix of an MGM(1,N) model. Using this formula, data can be updated in real-time without increasing computational complexity significantly. The results of numerical simulation show that using an MGM(1,N) model to predict planing motion is feasible and useful for prediction. So the method proposed in this study can reflect the planing craft motion mechanism successfully, and has rational and effective functions of forecasting and analyzing trends.

Keywords

planing craft / MGM(1,N) model / recurrence formula / short-time prediction

References

[1] Toru K., Masashi F., Yoshiho I. A study on transverse stability loss of planing craft at super high forward speed. International Shipbuilding Progress, 2007, 54(4): 365-377

[2] Syamsundar Srikanth, Datla Raju (2008). Performance prediction of high-speed planing craft with interceptors using a variation of the savitsky method. 1st Chesapeake Power Boat Symposium, Maryland, 76–84.

[3] Gao S., Zhu Q., Li L. Simulation of sliding ship’s high-speed modeling and attitude control. Journal of System Simulation, 2008, 20(6): 4461-4465

[4] Kumar Manoj, Anantha Subramanian V, Singh Sanjay P (2008). Performance prediction and computation of slamming loads on a planing craft using ranse method. Royal Institution of Naval Architects — 8th Symposium on High Speed Marine Vehicles, Naples, 126–130.

[5] Weismuller T, Leinz M, Caballero D (2007). Technology for autonomous optical planetary navigation and precision landing. A Collection of Technical Papers — AIAA Space 2007 Conference, San Diego, 1924–1949.

[6] Sebastiani L, Ruscelli D, Rambaldi G, Viviani M (2008). A momentum theory approach to the seakeeping of planing crafts. Royal Institution of Naval Architects — 8th Symposium on High Speed Marine Vehicles, Naples, 37–46.

[7] Jagadeesh P., Murali K., Idichandy V.G. Experimental investigation of hydrodynamic force coefficients over AUV hull form. Ocean Engineering, 2009, 36(1): 113-118

[8] Dong W., Liu Z., Wu X., et al. A new theoretical method on longitudinal motion of planing craft in wave. Journal of Ship Mechanics, 2007, 11(1): 55-61

[9] Xiong J., Xu H. Grey Control, 2005, Beijing, China: National Defence Industrial Press, 2-10

[10] Shen Jihong, Zhang Changbin, Li Jide (2009). The prediction of ship motion via updating MGM(1,n) model. 2009 IEEE International Conference on Grey Systems and Intelligent Services, Nanjing, China, 533–537.

[11] Shen Jihong, Wang Shujuan, Hu Mingming, Li Jide (2007). The prediction of nonlinear ship motion based on multi-variable grey model MGM(1,n). Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, Silicon Valley, USA, 3508–3513.

[12] Zhai Jun, Sheng Jianming, Feng Yingjun (1997). The grey model MGM (1,n) and Its Application. Systems Engineering-theory & Practice, (5), 109–113. (in Chinese)

[13] Li Jide(1992). Ship’s Seakeeping. Harbin Engineering University Press, Harbin, China, 4–11. (in Chinese)

[14] Sebastianii L, Bruzzone D, Gualeni P (2008). A practical method for the prediction of planing craft motions in regular and irregular waves. 2008 Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering, Estoril, 687–696.

[15] Zhang Y., Fang K. Introduction of multivariate statistical analysis, 1997, Beijing, China: Science Press, 16-19

[16] Zhu Kai(2007). Line Optimization Design and Seakeeping Analysis on Planing Hull. Dissertation for the master degree of Harbin Engineering University, Harbin, China, 80–94. (in Chinese)