This paper considers a state observer for a bilinear system. The estimation error of the observer given by this paper is independent of the input, so it can be designed independently of the input.
A standard form of a bilinear system having a state observer is given and the necessary and sufficient condition for the existence of a state observer is obtained. Also a standard form of a state observer is given and the design procedure of this observer is presented. The observer of a DC-motor is designed as an example.