绳系卫星回收的最优控制
发布时间：2018-10-12 13:44
【摘要】：绳系卫星系统是指采用系绳将两个或多个人造卫星连在一起飞行的组合体.本文主要考虑绳系卫星系统应用中最关键的回收环节，首先证明了绳系卫星系统回收问题的最优控制的存在性和唯一性，，进而建立了该最优控制问题满足的一阶最优性必要条件，即庞特里亚金极大值原理，最后运用修正的欧拉方法进行了数值求解，得到了该问题的最优控制和状态的数值解.
[Abstract]:A rope-satellite system is a combination of two or more satellites flying together using tethers. In this paper, the most critical link in the application of the rope satellite system is considered. Firstly, the existence and uniqueness of the optimal control for the recovery problem of the rope satellite system are proved. Furthermore, the first order optimality necessary condition of the optimal control problem is established, that is, Ponteriagin maximum principle. At last, the modified Euler method is used to solve the problem, and the optimal control and the numerical solution of the state of the problem are obtained.
【学位授予单位】：北京理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：V448.2
本文编号：2266336
[Abstract]:A rope-satellite system is a combination of two or more satellites flying together using tethers. In this paper, the most critical link in the application of the rope satellite system is considered. Firstly, the existence and uniqueness of the optimal control for the recovery problem of the rope satellite system are proved. Furthermore, the first order optimality necessary condition of the optimal control problem is established, that is, Ponteriagin maximum principle. At last, the modified Euler method is used to solve the problem, and the optimal control and the numerical solution of the state of the problem are obtained.
【学位授予单位】：北京理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：V448.2
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本文编号：2266336
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