Modeling and parameter identification of systems with multisegment piecewise-linear characteristics

This note deals with modeling and parameter identification of nonlinear systems having multisegment piecewise-linear characteristics. The decomposition of the corresponding mapping provides a new form of multisegment nonlinearity representation leading to an output equation, where all the parameters to be estimated are separated. Hence an iterative method with internal variable estimation can be applied for parameter identification using input/output data records. The only required a priori knowledge of the nonlinear characteristic represents the limits for the domain partition. The proposed model of given static nonlinearity is also incorporated into the Hammerstein model. Examples of parameter identification for static and dynamic systems with multisegment piecewise-linear characteristics are presented.