Fuzzy based selection of PWARX model for the nonlinear hybrid dynamical systems

Abstract

The Nonlinear Hybrid Dynamical Systems (NHDS) represent discrete event dynamics along with continuous dynamics. This paper is focused identification of the NHDS based on fuzzy c-means clustering approach for the open loop data classification according to its discrete dynamics. In the present work, a novel fuzzy function based selection of PWARX model algorithm applied for validation of identified parameters of the PieceWise affine Auto Regressive eXogeneous (PWARX) models which are separable and linear in the discrete space. The performance of the proposed selection method is demonstrated using the physical application.