Least squares based iterative parameter estimation for output nonlinear systems with piece-wise nonlinearities

This paper presents a least squares based iterative parameter estimation algorithm for a class of output nonlinear systems with piece-wise nonlinearities (also called Wiener systems with saturation and dead-zone nonlinearities). A Wiener nonlinear system can be transformed into a special quasi-linear model by using a decomposition technique. The proposed least squares algorithm can estimate all the parameters of the whole nonlinear systems from all the input-output data. An illustrative example is included.