Title
A Mathematical Framework For Robust Control Over Uncertain Communication Channels
Abstract
In this paper, a mathematical framework for studying robust control over uncertain communication channels is introduced. The theory is developed by 1) Generalizing the classical information theoretic measures to the robust analogous, which are subject to uncertainty in the source and the communication channel, 2) Deriving a lower bound for the robust rate distortion, and 3) Finding a necessary condition on the communication blocks subject to uncertainty for reliable communication up to distortion level D-upsilon. By invoking this mathematical framework, necessary conditions for uniform asymptotic observability and stabilizability are derived for the following uncertain plants controlled over uncertain communication channels. 1) A probabilistic uncertain plant defined via a relative entropy constraint and 2) frequency domain uncertain plant defined via an H-infinity constraint.
Year
DOI
Venue
2005
10.1109/CDC.2005.1582543
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8
Keywords
DocType
ISSN
robustness,reliability theory,frequency domain,lower bound,relative entropy,communication channels,observability,entropy,frequency domain analysis,robust control
Conference
0743-1546
Citations 
PageRank 
References 
4
0.47
3
Authors
2
Name
Order
Citations
PageRank
Charalambos D. Charalambous131549.89
Alireza Farhadi2949.51