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

University Of Minnesota-Twin Cities, Minneapolis MN

Investigators

Abstract

A distributed space system is a collection of physically separated, multiple space vehicles whose states 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 captures the interaction between inter-spacecraft communication and sensing on the one hand and the admissible distributed spacecraft control strategies on the other, and (2) develop autonomous maneuver planning and control for distributed space systems. This research leads to novel analysis and synthesis techniques for a class of hybrid dynamic systems that is tailored to capture the interdependence of communication, sensing, and control of a distributed system.It also examines a paradigm and a new set of techniques in the matrix inequality approach to path planning 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 and two teachers' workshops, through which concepts of control and space system engineering are communicated to the high school students and grades 9--12 teachers.