Title
Information-Theoretic Performance Limitations of Feedback Control: Underlying Entropic Laws and Generic L-p Bounds
Abstract
In this paper, we utilize information theory to study the fundamental performance limitations of generic feedback systems, where both the controller and the plant may be any causal functions/mappings while the disturbance can be with any distributions. More specifically, we obtain fundamental L-p bounds on the control error, which are shown to be completely characterized by the conditional entropy of the disturbance, based upon the entropic laws that are inherent in any feedback systems. We also discuss the generality and implications (in, e.g., fundamental limits of learning-based control) of the obtained bounds.
Year
DOI
Venue
2021
10.23919/ACC50511.2021.9483083
2021 AMERICAN CONTROL CONFERENCE (ACC)
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Fang Song12310.76
Zhu Quanyan21295116.31