Title
Risk-sensitive filtering for jump Markov linear systems
Abstract
In this paper, a risk-sensitive multiple-model filtering algorithm is derived using the reference probability methods. First, the approximation of the interacting multiple-model (IMM) algorithm is identified in the reference probability domain. Then, the same type of approximation is used to derive the finite-dimensional risk-sensitive filtering algorithm. The derived algorithm reduces to the IMM filter when the risk-sensitive parameter goes to zero and reduces to the risk-sensitive filter for linear Gauss–Markov systems when the number of models is unity. The algorithm performs better in a simulated uncertain parameter scenario than the IMM filter.
Year
DOI
Venue
2008
10.1016/j.automatica.2007.04.018
Automatica
Keywords
Field
DocType
Risk-sensitive estimation,Jump Markov linear system,IMM,Multiple-model estimation
Markov process,Forward algorithm,Linear filter,Linear system,Control theory,Markov chain,Filter (signal processing),Gaussian process,System identification,Mathematics
Journal
Volume
Issue
ISSN
44
1
0005-1098
Citations 
PageRank 
References 
11
0.67
12
Authors
2
Name
Order
Citations
PageRank
Umut Orguner154840.11
Mübeccel Demirekler215219.39