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Frequency domain curve fitting: a generalized μ approach
Author(s) -
Ferreres G.,
Biannic J. M.
Publication year - 2002
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.700
Subject(s) - a priori and a posteriori , mathematics , upper and lower bounds , frequency domain , regular polygon , matrix (chemical analysis) , domain (mathematical analysis) , convex optimization , mathematical optimization , transfer matrix , frequency response , mathematical analysis , computer science , geometry , philosophy , materials science , epistemology , electrical engineering , composite material , computer vision , engineering
The aim of this paper is to find a fixed structure transfer matrix, whose dynamics (i.e. whose poles) are not a priori fixed, and whose frequency response is the closest as possible to a target one. This non‐convex optimization problem is recast into a generalized μ problem. A generalized μ lower bound is proposed, which provides an a priori suboptimal solution (i.e. a local minimum), namely a transfer matrix whose frequency response fits to a large extent the target response. A generalized μ upper bound is used to quantify the degree of optimality of the result (i.e. a reliable estimate of the gap between the local minimum and the global one). An example illustrates the effectiveness of the approach. Copyright © 2002 John Wiley & Sons, Ltd.