Analysis of Momentum Exchange in Spacecraft Attitude Dynamics and Control

航天器姿态动力学与控制中的动量交换分析

• 批准号: 9978745
• 负责人: Christopher Hall
• 金额: $ 14.8万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-10-01 至 2003-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9978745&HistoricalAwards=false
• 关键词: Analysis; Momentum; Exchange; Spacecraft; Attitude

Analysis of Momentum Exchange in Spacecraft Attitude Dynamics and ControlChristopher D. HallAerospace and Ocean EngineeringVirginia Polytechnic Institute and State UniversityAbstractThe principal goal of this research is to develop a complete understanding of the dynamics and control of momentum exchange in spacecraft. While these problems have received significant attention in the literature, many of the results have been developed for linearized equations of motion. Recent global analysis of nonlinear equations of motion has led to significant new results, and suggests new lines of research for previously intractable problems. The equations of motion describing these systems are expressed in noncanonical Hamiltonian form, with several perturbing torques considered. One objective is to characterize completely the relative equilibrium motions of spacecraft with internal energy dissipation, with special attention to those asymptotically stable equilibria corresponding to a stationary platform. This will be applied to the nonlinear control of rotational maneuvers, including optimal control maneuvers and sub-optimal stationary-platform maneuvers. Stationary-platform maneuvers are based on a simple feedback law, and have the useful property that the platform angular velocities remain small throughout any maneuver.Global analysis of other problems, such as escape from resonance trap states, resonance capture avoidance, dual-spin turn, and flat spin recovery will complete the basic understanding of momentum exchange in gyrostats. This will require extensions of standard tools in perturbation and bifurcation theory, and will yield results with definite applications to spacecraft design. Additional investigations will analyze the effects of various realistic perturbations, where improved understanding will lead to improved designs of attitude control systems.A unique element of the research is the investigation of the historical development of momentum exchange in spacecraft. We will characterize the relationship between the academic developments as reported in research literature and the developments that have taken place in the satellite industry. This effort will identify the critical events in the development of this technology, including both elegant mathematical results and catastrophic attitude control system failures.

航天器姿态动力学和控制中的动量交换分析克里斯托弗·D·霍尔航空航天和海洋工程弗吉尼亚理工学院和州立大学这项研究的主要目标是对航天器中动量交换的动力学和控制有一个完整的了解。虽然这些问题在文献中得到了很大的关注，但许多结果都是针对线性化的运动方程而得到的。最近对非线性运动方程的全球分析带来了重大的新结果，并为以前难以解决的问题提出了新的研究路线。描述这些系统的运动方程以非正则哈密顿形式表示，并考虑了几个摄动力矩。一个目标是完整地描述具有内部能量耗散的航天器的相对平衡运动，特别是与静止平台相对应的渐近稳定平衡。这将应用于旋转机动的非线性控制，包括最优控制机动和次最优静止平台机动。固定平台机动基于一个简单的反馈定律，具有在任何机动过程中平台角速度保持较小的有用特性。对其他问题的全局分析，如摆脱共振陷阱状态、避免共振捕获、双自旋转向和平自旋恢复，将完成对陀螺仪动量交换的基本理解。这将需要对摄动和分叉理论中的标准工具进行扩展，并将在航天器设计中产生一定的应用结果。更多的研究将分析各种现实摄动的影响，其中更好的理解将导致姿态控制系统设计的改进。这项研究的一个独特之处是调查航天器动量交换的历史发展。我们将描述研究文献中报道的学术发展与卫星工业所发生的发展之间的关系。这项工作将确定这项技术发展中的关键事件，包括优雅的数学结果和灾难性的姿态控制系统故障。