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Simultaneous identification of piecewise affine systems and number of subsystems using mixed logical dynamical systems theory
Author(s) -
Zanma Tadanao,
Fuke Keizo,
Chang Ma Shang,
Ishida Muneaki
Publication year - 2008
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.10109
Subject(s) - identification (biology) , affine transformation , piecewise , multivariable calculus , dynamical systems theory , system identification , computer science , mathematics , control theory (sociology) , algorithm , control engineering , engineering , control (management) , pure mathematics , artificial intelligence , data mining , physics , mathematical analysis , botany , quantum mechanics , biology , measure (data warehouse)
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