繩系衛(wèi)星回收的最優(yōu)控制
發(fā)布時(shí)間:2018-10-12 13:44
【摘要】:繩系衛(wèi)星系統(tǒng)是指采用系繩將兩個(gè)或多個(gè)人造衛(wèi)星連在一起飛行的組合體.本文主要考慮繩系衛(wèi)星系統(tǒng)應(yīng)用中最關(guān)鍵的回收環(huán)節(jié),首先證明了繩系衛(wèi)星系統(tǒng)回收問題的最優(yōu)控制的存在性和唯一性,,進(jìn)而建立了該最優(yōu)控制問題滿足的一階最優(yōu)性必要條件,即龐特里亞金極大值原理,最后運(yùn)用修正的歐拉方法進(jìn)行了數(shù)值求解,得到了該問題的最優(yōu)控制和狀態(tài)的數(shù)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.
【學(xué)位授予單位】:北京理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:V448.2
本文編號(hào):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.
【學(xué)位授予單位】:北京理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:V448.2
【參考文獻(xiàn)】
相關(guān)期刊論文 前4條
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本文編號(hào):2266336
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