一类变组成航天器编队的容错控制设计

发布时间：2018-02-24 23:00

本文关键词： 航天器编队非线性系统多李雅普诺夫法脉冲切换驻留时间法稳定性不稳定模态容错控制　出处：《南京航空航天大学》2015年硕士论文　论文类型：学位论文

【摘要】：本文主要研究一类变组成航天器编队的容错控制设计问题,航天器编队飞行是如今航天领域的一个研究热点,不管是从军事战略还是出于民用目的,面对越来越复杂的空间任务,单一的队形已无法满足需求。为了完成特定的空间任务,编队中的某些航天器可能会发生对接、分离、离开和加入等操作来改变编队队形以适应任务需求。将每个队形看成系统的一个模态,利用切换系统和驻留时间的方法,对具有全部稳定模态的系统以及具有不稳定模态的系统的稳定性进行研究,并通过 Matlab 仿真验证方法的可行性。首先,介绍了航天器编队飞行和切换系统的概念,并且描述了二者之间的联系及其研究背景和意义,针对影响航天器编队飞行的故障种类和容错方法进行归纳,对航天器编队飞行的研究现状进行总结。其次,介绍几种常用在航天器编队运动的坐标系,以四元数法描述航天器的姿态,从姿态运动学和动力学角度分析编队航天器的相对运动,针对本课题研究的一类变组成航天器编队飞行问题,将整个编队看成一个系统,用各航天器相对于参考点的运动和姿态变量误差作为该系统的状态,建立其在一般情况下的编队飞行模型,分析系统的稳定性,为下文的全稳定模态和具有不稳定模态下的系统研究奠定基础。再次,基于上述的一般模型,考虑全稳定模态的编队系统在切换瞬时状态发生跳变,如此对整个编队系统的稳定性产生的影响,并将其转化为对基于脉冲切换的编队系统的稳定性与容错控制的问题的研究;针对具有不稳定模态的编队系统,使用驻留时间方法,通过调节稳定模态与不稳定模态的激活时间的比值,利用稳定模态来补偿不稳定模态的影响,从而使系统达到稳定。最后,对于基于脉冲切换的全稳定模态和具有不稳定模态的编队系统在 Matlab 平台上分别进行仿真,通过仿真结果,证明了所提方法的正确性和合理性。
[Abstract]:This paper focuses on the design of fault-tolerant control for a class of variable spacecraft formation. Formation flying of spacecraft is a hot research topic in the field of spaceflight nowadays, whether for military strategy or for civilian purposes. In the face of more and more complex space tasks, a single formation can no longer meet the requirements. In order to complete a specific space mission, some spacecraft in the formation may dock and separate. Operations such as leaving and joining are used to change the formation to meet the requirements of the mission. Each formation is regarded as a mode of the system, and the method of switching the system and staying time is used. The stability of the system with all stable modes and the system with unstable mode is studied, and the feasibility of the method is verified by Matlab simulation. Firstly, the concept of spacecraft formation flying and switching system is introduced. The relationship between them and their research background and significance are described. The fault types and fault-tolerant methods affecting spacecraft formation flight are summarized, and the research status of spacecraft formation flight is summarized. This paper introduces several kinds of coordinate systems commonly used in spacecraft formation motion, describes the attitude of spacecraft by quaternion method, and analyzes the relative motion of formation spacecraft from the angle of attitude kinematics and dynamics. In view of the problem of formation flying of a class of variable composition spacecraft studied in this paper, the whole formation is regarded as a system, and the error of motion and attitude variables of each spacecraft relative to the reference point is used as the state of the system. The formation flying model under general conditions is established, and the stability of the system is analyzed, which lays a foundation for the following research on the fully stable mode and the system with unstable mode. Thirdly, based on the above general model, Considering the jump in the switching transient state of the formation system with fully stable mode, the effect on the stability of the whole formation system is considered, and the problem of the stability and fault-tolerant control of the formation system based on pulse switching is transformed into the research of the stability and fault-tolerant control of the formation system based on pulse switching. For the formation system with unstable modes, the resident time method is used to compensate the unstable modes by adjusting the ratio of the activation time of the stable mode to the unstable mode, and the stable mode is used to compensate the influence of the unstable mode by adjusting the ratio of the activation time of the stable mode to the unstable mode. Finally, the fully stable mode based on pulse switching and the formation system with unstable mode are simulated on the Matlab platform. The simulation results show that the proposed method is correct and reasonable.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：V448.2

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