CAREER: Distributed Space Systems Control via Graph-Driven Hybrid Systems and Matrix Inequalities

分布式空间系统是物理上分离的多个空间飞行器的集合，它们的状态是协调的，以实现局部或全局目标。分布式航天器范式将空间系统设计的复杂性从传统上与大型柔性结构的控制相关联转变为规划、协调、航天器间通信和传感以及控制方面的问题。该项目的目标是：(1)开发一种混合控制设计方法，一方面捕获航天器间通信和传感之间的交互，另一方面捕获可接受的分布式航天器控制策略；(2)开发分布式空间系统的自主机动规划和控制。这项研究为一类混合动态系统提供了新的分析和综合技术，这些系统专门用于捕获分布式系统的通信、传感和控制之间的相互依赖性。它还考察了一个范例和一套新的技术在矩阵不等式方法的路径规划和控制。教育计划通过课程和课程开发、本科生和研究生指导以及外展工作来实施。本科课程侧重于控制理论及其在空间系统设计中的应用，并强调其与通信和计算技术的相互依存关系。两门研究生课程，混合系统和优化系统科学，强调在建模，分析和设计技术的最新进展，为特定类别的动态系统，并奠定了一个严格的框架，基于优化理论和计算技术，一般动态系统的分析和综合。外联工作的重点是建立一个互动互联网网站和两个教师讲习班，通过这些讲习班向高中学生和9- 12年级的教师传达控制和空间系统工程的概念。

A distributed space system is a collection of physically separated, multiple space vehicles whosestates are coordinated to achieve a local or global objective.The distributed spacecraft paradigm shifts the complexity of the space system design, traditionally associated with the control of large flexible structures,to problems in planning, coordination, inter-spacecraft communication and sensing, and control.The objectives of this project are to (1) develop a hybrid control design methodology which capturesthe interaction between inter-spacecraft communication and sensingon the one hand and the admissible distributed spacecraftcontrol strategies on the other, and (2) develop autonomous maneuver planning and control for distributed space systems.This research leads to novel analysisand synthesis techniques for a class of hybrid dynamic systems that is tailored to capturethe interdependence of communication, sensing, and controlof a distributed system.It also examines a paradigm and a new set of techniques in the matrix inequality approach to pathplanning and control. The education plan is implemented through course and curriculum development, undergraduate and graduate mentoring, and an outreach effort.The undergraduate course focuses on control theory and its applications in the design of space systems,and emphasizes its interdependence on communication and computing technologies. Two graduate courses, Hybrid Systems and Optimization in Systems Sciences,emphasize the recent advances in the modeling,analysis, and design techniques for a specific class of dynamic systems, and lays out a rigorous framework,based on optimization theory and computational techniques, for general dynamic system analysis and synthesis.The outreach effort focuses on an interactive Internet website andtwo teachers' workshops, through which concepts of control and space system engineering are communicated to the high school students and grades 9--12 teachers.