Author:

Keywords:

Science & Technology, Technology, Automation & Control Systems, Engineering, Electrical & Electronic, Engineering, STATE-SPACE MODEL, STADIUS-18-53, C16/15/059#53326574

Abstract:

© 2018 IEEE. This paper introduces a data-driven method for determining the order of the partial difference equation of a discrete two dimensional (2D) linear system. A Hankel matrix (referred to as recursive Hankel matrix) is constructed from the available two dimensional data in a recursive way. This method of data Hankelization can be represented by a moving window that slides over the data. This paper extends the concept of past and future data to 2D systems and introduces the concept of left, right, top and bottom data. It is shown that the intersection between left, right, top and bottom Hankel matrices reveals the order of the underlying linear 2D system. As an example, we applied the method to data generated by a discretized transport diffusion equation. Our method correctly estimated the order of the difference equation.