Simultaneous Identification of Piecewise Affine Systems and Number of Subsystems Using Mixed Logical Dynamical Systems Theory

摘要

This paper addresses system identification of a switched system in which each subsystem is expressed by a piecewise affine system. The system considered is expressed by a mixed logical dynamical system for which some design methods are already known. For identification, in most cases, a number of subsystems, that is, switching points, are given in advance. However, it is not easy to find switching points for multivariable systems. Therefore, in this paper, we propose a simultaneous identification technique that takes into account the number of subsystems and their parameters. The proposed method is applied to several examples to show its effectiveness.