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Performance Analysis of the Forgetting Factor RLS Algorithms
Academica Sinica, China.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Université Pierre et Marie Curie, France.
1993 (English)In: International journal of adaptive control and signal processing (Print), ISSN 0890-6327, E-ISSN 1099-1115, Vol. 7, no 6, 525-237 p.Article in journal (Refereed) Published
Abstract [en]

An analysis is given of the performance of the standard forgetting factor recursive least squares (RLS) algorithm when used for tracking time-varying linear regression models. Three basic results are obtained: (1) the ‘P-matrix’ in the algorithm remains bounded if and only if the (time-varying) covariance matrix of the regressors is uniformly non-singular; (2) if so, the parameter tracking error covariance matrix is of the order O(μ + γ2/μ), where μ = 1 - λ, λ is the forgetting factor and γ is a quantity reflecting the speed of the parameter variations; (3) this covariance matrix can be arbitrarily well approximated (for small enough μ) by an expression that is easy to compute.

Place, publisher, year, edition, pages
1993. Vol. 7, no 6, 525-237 p.
Keyword [en]
Adaptation, Least squares, Tracking, Recursive identification
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-56337DOI: 10.1002/acs.4480070604OAI: diva2:318619
Available from: 2010-05-09 Created: 2010-05-07 Last updated: 2013-07-30

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Ljung, Lennart
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