# INFORMATION-THEORETIC VIEW OF CONTROL

### Prateep Roy, Arben Çela, Yskandar Hamam

#### 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.

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#### Paper Citation

#### in Harvard Style

Roy P., Çela A. and Hamam Y. (2009). **INFORMATION-THEORETIC VIEW OF CONTROL** . In *Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,* ISBN 978-989-674-001-6, pages 5-12. DOI: 10.5220/0002166600050012

#### in Bibtex Style

@conference{icinco09,

author={Prateep Roy and Arben Çela and Yskandar Hamam},

title={INFORMATION-THEORETIC VIEW OF CONTROL},

booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},

year={2009},

pages={5-12},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002166600050012},

isbn={978-989-674-001-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,

TI - INFORMATION-THEORETIC VIEW OF CONTROL

SN - 978-989-674-001-6

AU - Roy P.

AU - Çela A.

AU - Hamam Y.

PY - 2009

SP - 5

EP - 12

DO - 10.5220/0002166600050012