基于模态空间的海洋平台冰致振动的H_∞控制
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摘要
通过在海洋平台顶部安装主动调谐质量阻尼器(AMD),研究了平台在冰荷载作用下的主导模态H∞控制.首先采用H∞方法与模态空间的平衡降阶法进行控制设计,然后基于虚拟激励法得到了系统冰致振动的解答,并应用此解答进行了广泛的参数研究,确定了平台减振效果最佳时的H∞控制器最优参数.通过该应用特例,以评价H∞控制器的有效性.结果表明如果H∞控制器的参数选择合适,则可以显著减小平台的冰致振动响应.
H∞ control of the critical modes of vibration of an offshore platform under ice loads was studied.The control was applied to a platform via an active tuned mass damper (AMD) located at the top of the platform. An algorithm combining the H∞ method together with balanced reduction scheme in modal space was used for control design. The solution for ice-induced vibration response of the system was derived in terms of pseudo-excitation method. With the derived solution, extensive parametric studies can be carried out. The optimal parameters of H∞ controllers for achieving the maximum vibration response reduction of the platform can be identified. The effectiveness of H∞ controllers for this particular application is evaluated.The results show that the ice-induced vibration response of the platform can be considerably reduced if the parameters of H∞ controllers are selected appropriately.
H∞ control of the critical modes of vibration of an offshore platform under ice loads was studied.The control was applied to a platform via an active tuned mass damper (AMD) located at the top of the platform. An algorithm combining the H∞ method together with balanced reduction scheme in modal space was used for control design. The solution for ice-induced vibration response of the system was derived in terms of pseudo-excitation method. With the derived solution, extensive parametric studies can be carried out. The optimal parameters of H∞ controllers for achieving the maximum vibration response reduction of the platform can be identified. The effectiveness of H∞ controllers for this particular application is evaluated.The results show that the ice-induced vibration response of the platform can be considerably reduced if the parameters of H∞ controllers are selected appropriately.
引文
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2顾仲权,马扣根,陈卫东.振动主动控制.北京:国防工业出版社,1997(Gu Zhongquan,Ma Kougen,Chen Wei-dong.Active vibration control.Beijing:National Defence In-dustry Press,1997(in Chinese))
3张文首,林家浩,于骁.海洋平台地震响应的LQG控制.动力学与控制学报,2005,3(3):86~91(Zhang Wen-shou,Lin Jiahao,Yu Xiao.Seismic response of offshoreplatform with linear quadratic Gaussian controllers.Journal ofDynamics and Control,2005,3(3):86~91(in Chi-nese))
4Zhou KM,Doyle JC,and Glover K.Robust and optimal con-trol.New Jersey:Prentice Hall,1996
5Pernebo L,Silverman LM.Model reduction via balanced state space representations.IEEE Transactions on Automatic Control,1982,27(2):382~387
6胡明华,胡寿松.平衡降阶方法及其进展.南京航空学院学报,1990,22(4):92~101(Hu Minghua,Hu Shousong.Balanced reduction method and its development.Journal of Nanjing Aeronautical Institute,1990,22(4):92~101(in Chinese))
7Lin J H,Zhang W S,Li J J.Structural responses to arbitrari-ly coherent stationary random excitations.Computers&Structures,1994,50(5):629~633
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