On the relation of FIM and Controllability Gramian

Prateep Roy, A. Çela, Y. Hamam
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引用次数: 10

Abstract

In this paper being presented the correlation of Fisher Information Matrix(FIM) and Controllability Gramian(CG) based on estimation-theoretic and information-theoretic explanations. Resource-economic use of information is of primary concern in issues of control under communication constraints. We need to emphasize more on informational aspect which has got direct relation with uncertainties in terms of Shannon Entropy and Mutual Information(MI). Disturbances due to communication channel-induced noises and limited bandwidth are causing the information packet-loss and delays resulting in degradation of control performance. CG is a measure of control performance and Fisher Information (FI)is a measure of accuracy of estimation (which needs to be done in uncertainties caused by packet-loss and delays of the network).
论FIM与可控性的关系
本文在估计理论和信息论的基础上给出了Fisher信息矩阵(FIM)与可控性格律(CG)的相关性。在通信约束下的控制问题中,信息的资源经济利用是主要关注的问题。从香农熵和互信息(MI)的角度来看,信息方面与不确定性有直接的关系。由于通信信道噪声和有限的带宽引起的干扰导致了信息丢包和延迟,从而降低了控制性能。CG是控制性能的度量,Fisher Information (FI)是估计精度的度量(这需要在网络丢包和延迟引起的不确定性中完成)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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