Simultaneous identification of piecewise affine systems and number of subsystems using mixed logical dynamical systems theory

✍ Scribed by Tadanao Zanma; Keizo Fuke; Shang Chang Ma; Muneaki Ishida

• Publisher: Wiley (John Wiley & Sons)
• Year: 2008
• Tongue: English
• Weight: 504 KB
• Volume: 91
• Category: Article
• ISSN: 1942-9533
• DOI: 10.1002/ecj.10109

✦ Synopsis

Abstract

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. © 2008 Wiley Periodicals, Inc. Electron Comm Jpn, 91(5): 1–10, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecj.10109