Geometric control theory of micro-satellites

01 October 2007 → 30 September 2013
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Analysis
    • Applied mathematics in specific fields
    • Geometry
    • Computer architecture and networks
    • Distributed computing
    • Information sciences
    • Information systems
    • Programming languages
    • Scientific computing
    • Theoretical computer science
    • Visual computing
    • Other information and computing sciences
satellite optimalization differential geometry control theory
Project description

This project is concerned with the geometric study of so-called "Control Moment Gyroscopes" (CMGs), which are used for the controle of micro-satellites. Concepts from differential geometry, such as bundles and connections, are used to give a geometric interpretation of the dynamics of CMGs, with particular attention for the existence and analysis of singular states. Using this geometric formalism, a number of control-theoretic questions are being treated, such as the search for optimal trajectories between two given states.