Authors:
Prateep Roy
1
;
Arben Çela
1
and
Yskandar Hamam
2
Affiliations:
1
Université Paris-Est, France
;
2
F’SATIE-TUT, South Africa
Keyword(s):
Information Theory, Shannon Entropy, Mutual-Information, Control, Bode Sensitivity Integral.
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Information-Based Models for Control
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
In this paper we are presenting the information-theoretic explanation of Bod´e Sensitivity Integral, a fundamental limitation of control theory, controllability grammian and the issues of control under communication constraints. As resource-economic use of information is of prime concern in communication-constrained control problems, we need to emphasize more on informational aspect which has got direct relation with uncertainties in terms of Shannon Entropy and Mutual Information. Bode Integral which is directly related to the disturbances can be correlated with the difference of entropies between the disturbance-input and measurable output of the system. These disturbances due to communication channel-induced noises and limited bandwidth are causing the information packet-loss and delays resulting in degradation of control performances.