A nonlinear identification scheme is provided for a LTI-system with a feedback-nonlinearity, which depends on the input and LTI-system output. This is especially the case for MEMS, where the electrostatic field depends on the displacement and input voltage. The fact, that the algorithm only requires a matrix inversion and singular value decomposition, makes it possible to use the identification scheme for online-estimation. There is also no other a-priori knowledge about the system, except the order, needed.