Title
Nonlinear filtering for state delayed systems with Markovian switching
Abstract
This paper deals with the filtering problem for a general class of nonlinear time-delay systems with Markovian jumping parameters. The nonlinear time-delay stochastic systems may switch from one to the others according to the behavior of a Markov chain. The purpose of the problem addressed is to design a nonlinear full-order filter such that the dynamics of the estimation error is guaranteed to be stochastically exponentially stable in the mean square. Both filter analysis and synthesis problems are investigated. Sufficient conditions are established for the existence of the desired exponential filters, which are expressed in terms of the solutions to a set of linear matrix inequalities (LMIs). The explicit expression of the desired filters is also provided. A simulation example is given to illustrate the design procedures and performances of the proposed method.
Year
DOI
Venue
2003
10.1109/TSP.2003.815373
IEEE Transactions on Signal Processing
Keywords
Field
DocType
markov chain,markov processes,exponential stability,network synthesis,nonlinear system,linear matrix inequality,nonlinear filter,indexing terms
Nonlinear system,Markov process,Exponential function,Control theory,Matrix (mathematics),Computer science,Markov chain,Filter (signal processing),Control engineering,Filtering problem,Exponential stability
Journal
Volume
Issue
ISSN
51
9
1053-587X
Citations 
PageRank 
References 
23
3.81
0
Authors
3
Name
Order
Citations
PageRank
Zidong Wang111003578.11
James Lam2899121.06
Xiaohui Liu311518.03