Piecewise affine identification of interconnected systems with LFR structure

In this chapter, identification of systems composed by interconnected LTI systems and static nonlinearities is addressed. The interconnection is described by a linear fractional representation in which the nonlinear block is modeled by a piecewise affine map. A two-step iterative identification procedure, with non-increasing cost at each iteration, is proposed. Features and effectiveness of the presented identification procedure are illustrated through a numerical example and an application to the silverbox problem (a popular benchmark in nonlinear system identification).