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On information transmission in linear feedback tracking systems
Author(s) -
Zhang Hui,
Sun Youxian
Publication year - 2008
Publication title -
asia‐pacific journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.348
H-Index - 35
eISSN - 1932-2143
pISSN - 1932-2135
DOI - 10.1002/apj.206
Subject(s) - mutual information , information transmission , variable (mathematics) , transmission (telecommunications) , continuously variable transmission , control theory (sociology) , computer science , tracking (education) , mathematics , control (management) , telecommunications , artificial intelligence , psychology , computer network , mathematical analysis , pedagogy
Information transmission in discrete time linear time‐invariant (LTI) feedback tracking systems was investigated by using measures of directed information and mutual information. It was proved that, for a pair of extraneous input and internal variable, directed information (rate) is always equal to mutual information (rate); for a pair of internal variables, the former is smaller than the latter. Furthermore, the feedback changes the information transmission between internal variables, while it has no influence on information transmission from extraneous variable to internal variable. Consideration on system design was discussed. Copyright © 2008 Curtin University of Technology and John Wiley & Sons, Ltd.