Directed Information and Mutual Information in Linear Feedback Tracking Systems

Author

Zhang, Hui ; Sun, You-Xian

Author_Institution

Dept. of Control Sci. & Eng., Zhejiang Univ., Hangzhou

Volume

1

fYear

0

fDate

0-0 0

Firstpage

723

Lastpage

727

Abstract

Information transmission in discrete time LTI feedback tracking systems was investigated by using measures of directed information and mutual information. It was proved that, for pairs of extraneous input and internal variable, directed information (rate) is always equal to mutual information (rate); for pairs of internal variables, the former is smaller than the latter. Comparing the open-loop and closed-loop systems we got that, the feedback changes the information transmission between internal variables, while has no influence on information transmission from extraneous variables to internal variables. This is slightly different from the conclusion on communication channels. Consideration on system design was discussed

Keywords

closed loop systems; discrete time systems; feedback; linear systems; open loop systems; closed-loop system; directed information; discrete time system; linear feedback tracking system; mutual information; open-loop system; Communication channels; Communication system control; Control systems; Entropy; Information rates; Mutual information; Output feedback; State feedback; Stochastic processes; Sun; Directed information; feedback; information transmission; linear tracking system; mutual information;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712437

Filename

1712437