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A stochastic analysis of robust estimation algorithms in H ∞ with rational basis functions
Author(s) -
Akçay Hüseyin
Publication year - 2002
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.627
Subject(s) - parameterized complexity , basis (linear algebra) , algorithm , nonlinear system , identification (biology) , consistency (knowledge bases) , computer science , archetype , mathematics , rational expectations , mathematical optimization , artificial intelligence , econometrics , physics , geometry , botany , quantum mechanics , biology , art , literature
In this paper, a two‐stage nonlinear identification algorithm parameterized in terms of rational basis functions with fixed basis poles is studied when disturbances are subject to mild stochastic assumptions. The two‐stage algorithm is the archetype for robust estimation algorithms in H ∞ and its first stage is linear‐in‐data. Conditions for the consistency of both the stages are derived. It is shown that the two‐stage algorithm enjoys a better stochastic as well as deterministic performance than those of the linear algorithms. Copyright © 2001 John Wiley & Sons, Ltd.