An output-feedback stabilizing controller for bilinear systems is proposed
in this paper, Key techniques in the proposed method are periodic switching
of the controller and the use of a dead-beat observer. The controller is p
roved to globally stabilize the plant, both in noiseless and noisy conditio
ns. The only condition on the plant, for the proposed method to be applicab
le, is that the linear part of it is observable. No condition on nonlinear
observability is required. (C) 2001 Elsevier Science Ltd. All rights reserv
ed