Title
Multiple-model estimation with variable structure
Abstract
Existing multiple-model (MM) estimation algorithms have a fixed structure, i.e. they use a fixed set of models. An important fact that has been overlooked for a long time is how the performance of these algorithms depends on the set of models used. Limitations of the fixed structure algorithms are addressed first. In particular, it is shown theoretically that the use of too many models is performance-wise as bad as that of too few models, apart from the increase in computation. This paper then presents theoretical results pertaining to the two ways of overcoming these limitations: select/construct a better set of models and/or use a variable set of models. This is in contrast to the existing efforts of developing better implementable fixed structure estimators. Both the optimal MM estimator and practical suboptimal algorithms with variable structure are presented. A graph-theoretic formulation of multiple-model estimation is also given which leads to a systematic treatment of model-set adaptation and opens up new avenues for the study and design of the MM estimation algorithms. The new approach is illustrated in an example of a nonstationary noise identification problem
Year
DOI
Venue
1996
10.1109/9.489270
Automatic Control, IEEE Transactions
Keywords
DocType
Volume
Power system modeling,Stochastic systems,Adaptation model,Algorithm design and analysis,Adaptive estimation,Matched filters,Pattern matching,State-space methods,Systems engineering and theory,Nonlinear systems
Journal
41
Issue
ISSN
Citations 
4
0018-9286
71
PageRank 
References 
Authors
14.16
1
2
Name
Order
Citations
PageRank
Xiao-Rong Li17114.16
Y. Bar-Shalom235780.17