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

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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.