Output feedback stabilization of bilinear systems using dead-beat observers

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 proved to globally stabilize the plant, both in noiseless and noisy conditions. The only condition on the plant, for the proposed method to be applicable, is that the linear part of it is observable. No condition on nonlinear observability is required. (C) 2001 Elsevier Science Ltd. All rights reserved