Design of the Decomposed State Model of an One-Dimensional Piecewise-Linear System

Present paper deals with the problem of automatic design of the implicit state model (in its decomposed parametric form) of any one-dimensional piecewise-linear (PWL) system. This model consists of the internal and the external parts which provides the possibility to find the model parameters, i.e. to solve separately the two main problems of an one-dimensional PWL model design: (i) existence of the individual breakpoints of the resultant PWL characteristic (determined by the internal block); (ii) setting of the breakpoint co-ordinates (determined by the external block)