Akira Ichikawa (Kyoto University)"Minimum energy control with applications to spacecraft rendezvous and docking"

*Abstract*

Consider a stablizable linear system with periodic solutions. For a
given
periodic
orbit, the minimum energy problem is to find the infimum of the L^2
norm
of controls
which steer the state from the orbit to the origin asymptotically. The
infimum is
obtained in terms of the maximal solution of the singular Riccati
equation
associated
with the system. Using this result, a design method of stabilizing
feedback
controllers
which steers the state from the orbit to the origin with energy
arbitrarily
close to the
infimum is proposed. As applications, the relative orbit transfer
associated with the
Hill-Clohessy-Whiltshire equations, and the Halo orbit control near
the L^2
Lagrangian
point of the Earth-moon-spacecraft system are discussed.

*Conferinta
are loc in cadrul Proiectului CEx MDDS (Contract No. Nr. 2-CEx06-11-18/2006) cu sprijinul SOFTWIN,
caruia
ii multumim pentru amabilitate.*