IJPAM: Volume 42, No. 4 (2008)


Akira Ichikawa
Department of Aeronautics and Astronautics
Kyoto University
Kyoto, 606-8501, JAPAN
e-mail: ichikawa@kuaero.kyoto-u.ac.jp

Abstract.For a stabilizable linear system, the minimum energy problem to steer the initial state to the origin asymptotically is considered, where the energy is understood in the ${\cal L}_2$ sense. The infimum is obtained in terms of the maximal solution of a singular Riccati equation, and suboptimal feedback controllers are designed. As an application, a circular restricted three-body (Earth-Moon-spacecraft) problem is considered, and the Halo orbit transfer near the $ L_2$ Lagrangian point is discussed.

Received: August 17, 2007

AMS Subject Classification: 93B51

Key Words and Phrases: minimum energy control, periodic solutions, optimal regulator, singular Riccati equation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4