IJPAM: Volume 42, No. 4 (2008)
Department of Aeronautics and Astronautics
Kyoto, 606-8501, JAPAN
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 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 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