Design of a nonlinear controller based on a piecewise-linear Hammerstein model

In the paper a new method for identification and control of nonlinear systems is presented. The method is based on a piecewise-linear Hammerstein model, which is linear in parameters, and enables approximation of systems with extremely nonlinear or even discontinuous static functions. The model can be obtained by making use of a specific identification method, which takes into account the proposed structure of the model, and the properties of the excitation signal. The derived model represents the starting point for development of a nonlinear controller, which is based on the pole-placement principles. The proposed method is illustrated by a simulation example representing identification and control of a nonlinear process with discontinuous static function.