为了研究船舶在固定航速下横荡、横摇和艏摇三个自由度运动的舵鳍联合减摇与航向保持控制问题,通过状态空间的划分,将状态含有绝对值的系统转化成为不含绝对值的切换系统,利用SOS(sum of squares)技术,分别设计了非线性状态反馈切换控...为了研究船舶在固定航速下横荡、横摇和艏摇三个自由度运动的舵鳍联合减摇与航向保持控制问题,通过状态空间的划分,将状态含有绝对值的系统转化成为不含绝对值的切换系统,利用SOS(sum of squares)技术,分别设计了非线性状态反馈切换控制器和单控制器,并结合Lyapunov稳定性理论给出了闭环系统镇定的充分条件。仿真结果表明:在外扰的影响下,所设计的控制器使得船舶减摇效果明显,而且能够保持期望的航向。展开更多
This paper is mainly to discuss cooperative games on convex geometries with a coalition structure, which can be seen as an extension of cooperative games with a coalition structure. For this kind of games, the coopera...This paper is mainly to discuss cooperative games on convex geometries with a coalition structure, which can be seen as an extension of cooperative games with a coalition structure. For this kind of games, the cooperation among unions and within each union will be the convex sets, i.e., the feasible subsets of the coalition structure and that of each union belong to a convex geometry, respectively. The explicit form of the generalized Owen value for this kind of games is given, which can be seen as an extension of the Owen value. Eklrthermore, two special cases of this kind of games are researched. The corresponding Davoff indices are also stHdied. Fin~.llv ~n ilhl^r~'i, ~r^l~ to ~展开更多
文摘为了研究船舶在固定航速下横荡、横摇和艏摇三个自由度运动的舵鳍联合减摇与航向保持控制问题,通过状态空间的划分,将状态含有绝对值的系统转化成为不含绝对值的切换系统,利用SOS(sum of squares)技术,分别设计了非线性状态反馈切换控制器和单控制器,并结合Lyapunov稳定性理论给出了闭环系统镇定的充分条件。仿真结果表明:在外扰的影响下,所设计的控制器使得船舶减摇效果明显,而且能够保持期望的航向。
基金supported by the National Natural Science Foundation of China under Grant Nos.71201089, 71271217,and 71071018the Natural Science Foundation of Shandong Province,China,under Grant No. ZR2012GQ005
文摘This paper is mainly to discuss cooperative games on convex geometries with a coalition structure, which can be seen as an extension of cooperative games with a coalition structure. For this kind of games, the cooperation among unions and within each union will be the convex sets, i.e., the feasible subsets of the coalition structure and that of each union belong to a convex geometry, respectively. The explicit form of the generalized Owen value for this kind of games is given, which can be seen as an extension of the Owen value. Eklrthermore, two special cases of this kind of games are researched. The corresponding Davoff indices are also stHdied. Fin~.llv ~n ilhl^r~'i, ~r^l~ to ~