Ship parametric excitation rolling motion nonlinearrobust control based on Lyapunov stability

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Journal of Dalian Maritime University ›› 2013, Vol. 39 ›› Issue (1) : 23-26.

Original Paper

Ship parametric excitation rolling motion nonlinearrobust control based on Lyapunov stability

MA Lei, ZHANG Xian-ku

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Abstract

To decrease the influence caused by parametric resonance, the nonlinear robust controller should be designed to keep the system stable. To simplify the design process of nonlinear controller, a Lyapunov energy function is derived, which converts the design process from two steps into one step. The function has less parameters to be tuned, so as to avoid canceling the nonlinear items. Simulation results show that the control effects are very effective for the elimination of large rolling motion in the ship parametric rolling system and have satisfactory robust stability.

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ship / Lyapunov stability / parametric excitation rolling / nonlinear robust control

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MA Lei, ZHANG Xian-ku. Ship parametric excitation rolling motion nonlinearrobust control based on Lyapunov stability[J]. Journal of Dalian Maritime University. 2013, 39(1): 23-26

References

［1］张显库,贾欣乐.船舶运动控制［M］.北京:国防工业出版社, 2006: 173-183. ［2］KRSTIC M, KANELLAKOPOULOS I, KOKOTOVIC P V. Nonlinear and Adaptive Control Design［M］. New York: Wiley, 1995: 89-108. ［3］DO K D, PAN J. Global robust adaptive path following of underactuated ships［J］. Automatica, 2006, 42(10): 1713-1722. ［4］SANEHE Z E , NAYFEH A H. Nonlinear rolling motions of ships in longitudinal waves［J］.International Shipbuilding Progress，1990, 37(411): 247-272. ［5］吴东苏,顾宏斌.轻型飞行模拟器运动平台自适应模糊反步控制［J］.仪器仪表学报, 2008, 29(7): 1464-1469. WU Dong-su, GU Hong-bin. Adaptive fuzzy backstepping control of light flight simulator motion platform ［J］.Chinese Journal of Science Instrument, 2008, 29(7):1464-1469.(in Chinese) ［6］付明玉,施小成,丁福光.气垫船航迹反步控制方法研究［J］.哈尔滨工程大学学报, 2008, 29(3): 251-255. FU Ming-yu, SHI Xiao-cheng, DING Fu-guang. The backstepping method for navigational control of an aircushion vessel［J］. Journal of Harbin Engineering University, 2008, 29(3): 251-255.(in Chinese) ［7］董文瀚,孙秀霞,林岩,等.一类直接模型参考Backstepping自适应控制［J］.控制与决策, 2008,23(9): 981-987. DONG Wen-han, SUN Xiu-xia, LIN Yan, et a.l Direct model reference backstepping adaptive control ［J］.Control and Decision, 2008, 23(9): 981-987.(in Chinese) ［8］刘彦文,刘胜,王毅.船舶舵减摇的H_∞控制设计［J］.电机与控制学报, 2009, 13(1): 133-137. LIU Yan-wen, LIU Sheng, WANG Yi. H_∞design for rudder roll stabilization of ships［J］. Electric Machines and Control,2009, 13(1): 133-137.(in Chinese) ［9］郭源博,张晓华,陈宏钧.基于双线性系统理论的PWM整流器非线性控制［J］.西南交通大学学报,2009, 44(2): 232-237. GUO Yuan-bo, ZHANG Xiao-hua, CHEN Hong-jun. Nonlinear control of PWN rectifier based on bilinear system theory［J］. Journal of Southwest Jiaotong University, 2009, 44(2): 232-237.(in Chinese) ［10］张显库.船舶航向保持的非线性逆推鲁棒控制算法［J］.大连海事大学学报, 2007, 33(2): 80-83. ZHANG Xian-ku. Nonlinear backstepping robust control algorithm for ship s course-keeping ［J］. Journal of Dalian Maritime University, 2007, 33(2): 80-83.(in Chinese) ［11］张显库.基于李雅普诺夫稳定性的船舶航向保持非线性简化控制程［J］.西南交通大学学报,2010(1):34-39. ZHANG Xian-ku. Simplified nonlinear control for ship’s course-keeping based on Lyapunov stability excitation［J］. Journal of Southwest Jiaotong University,2010(1):34-39.(in Chinese) ［12］张显库.船舶运动简捷鲁棒控制［M］.北京:科学出版社，2012. ZHANG Xian-ku. Ship Motion Simple Robust Control ［M］.Beijing: Science Press, 2012.(in Chinese)