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，它们相互协调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控制相关的问题转移到规划、协调、航天器间通信和传感以及控制方面的问题。本项目的目标是：(1)发展一种混合控制设计方法，一方面捕获航天器之间的通信和传感之间的相互作用，另一方面考虑允许的分布式航天器控制策略，(2)发展分布式空间系统的自主机动规划和控制。这项研究导致了一类混合动态系统的新的分析和综合技术，该系统是为捕捉分布式系统的通信、感知和控制的相互依赖而量身定做的。同时，还研究了路径规划和控制的矩阵不等式方法中的一种范例和一套新的技术。该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。本科生课程侧重于控制理论及其在空间系统设计中的应用，并强调其对通信和计算技术的相互依赖。两门研究生课程，系统科学中的混合系统和优化，强调了针对特定类别动态系统的建模、分析和设计技术的最新进展，并基于最优化理论和计算技术，为一般动态系统分析和综合设计了一个严格的框架。外展工作集中在一个互动的互联网网站和两个教师研讨会上，通过这些研讨会，控制和空间系统工程的概念被传达给高中生和9-12年级的教师。

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.