Analysis, design, and performance limitations of $H_2$ optimal filtering in the presence of an additional input with known frequency

Saberi, Ali and Stoorvogel, Anton A. and Sannuti, Peddapullaiah (2005) Analysis, design, and performance limitations of $H_2$ optimal filtering in the presence of an additional input with known frequency. Automatica, 41 (12). pp. 2115-2121. ISSN 0005-1098

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Abstract:	In this paper, the inputs are considered to be of two types. The first type of input, as in standard $H_2$ optimal filtering, is a zero mean wide sense stationary white noise, while the second type is a linear combination of sinusoidal signals each of which has an unknown amplitude and phase but known frequency. The generalized $H_2$ optimal filtering problem seeks to find a linear stable filter that estimates a desired output such that the $H_2$ norm of the transfer matrix from the white noise input to the estimation error is minimized subject to the constraint that the mean of the error converges to zero for all initial conditions of the given system and filter and for all possible external sinusoidal signals. The analysis, design, and performance limitations of generalized $H_2$ optimal filters are presented here.
Item Type:	Article
Copyright:	© 2001 Elsevier Science
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/68845
Official URL:	http://dx.doi.org/10.1016/j.automatica.2005.06.013
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Analysis, design, and performance limitations of optimal filtering in the presence of an additional input with known frequency

Analysis, design, and performance limitations of $H_2$ optimal filtering in the presence of an additional input with known frequency