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Characteristic‐varying systems in the D‐Module: Their properties of existence, realization, and stability
Author(s) -
Shinnaka Shinji
Publication year - 2003
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.10171
Subject(s) - realization (probability) , stability (learning theory) , block diagram , control theory (sociology) , signal (programming language) , filter (signal processing) , signal processing , computer science , control engineering , frame (networking) , viewpoints , electronic engineering , engineering , mathematics , digital signal processing , electrical engineering , control (management) , physics , artificial intelligence , acoustics , statistics , machine learning , programming language , telecommunications
Signal processing based on frequency polarity has been attracting wide attention due to its potential applications to industry. It is popular to employ two vector rotators for such signal processing. However, it has very recently been reported that an equivalent signal processing effect can be attained in a much simpler manner using two‐input two‐output filters in the D‐module. This paper further investigates a class of characteristic‐varying systems in the D‐module, which contains the filters in the D‐module as a special case, and gives new analytical results on their properties from the viewpoints of existence, realization, and stability. If the results are applied to filter problems, n‐th order filters in the D‐module in new forms can be easily and directly obtained, whose stability and response equivalent to the associated filters with vector rotators are guaranteed. If the results are applied to AC motor modeling problems, dynamic models and block diagrams of AC motors in general reference frame are easily and directly obtained. Very general and useful analyses are given for a newly proposed class of characteristic‐varying systems in the D‐module that have potential usefulness in various industrial applications including control of magnetic bearing system, analyses and active compensations of power systems, and sensorless drives of AC motors. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 145(1): 39–51, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10171