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Analysis, design, and performance limitations of H ∞ optimal filtering in the presence of an additional input with known frequency
Author(s) -
Saberi Ali,
Stoorvogel Anton A.,
Sannuti Peddapullaiah
Publication year - 2007
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1182
Subject(s) - decoupling (probability) , generalization , control theory (sociology) , norm (philosophy) , mathematics , amplitude , computer science , engineering , mathematical analysis , control engineering , artificial intelligence , physics , control (management) , law , political science , quantum mechanics
A generalized γ‐level H ∞ sub‐optimal input decoupling (SOID) filtering problem is formulated. It is a generalization of γ‐level H ∞ SOID filtering problem when, besides an input with unknown statistical properties but with a finite RMS norm, there exists an additional input to the given plant or system. The additional input is a linear combination of sinusoidal signals each of which has an unknown amplitude and phase but known frequency. The analysis, design, and performance limitations of generalized H ∞ optimal filters are presented. Copyright © 2007 John Wiley & Sons, Ltd.