Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第40回ISCIE「確率システム理論と応用」国際シンポジウム(2008年11月, 京都)
Optimization of Observations for LQG Control Systems by an Information Theoretic Approach
Yoshiki TAKEUCHIMasatoshi INOUE
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2009 年 2009 巻 p. 73-78

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In this paper, we are concerned with an optimal selection of the gain matrix of the noisy observation for stationary LQG stochastic control systems. By introducing an information theoretic criterion based on a generalized Water Filling Theorem, we obtain a set of the gains which maximize the mutual information between the system state and the observations. Then, equations are obtained to find the optimal gain matrix from this set of gains which produces the best performance of the optimal LQG regulator.
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© 2009 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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