Robust Kalman filtering for discrete-time Markovian jump systems with parameter uncertainty

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Mahmoud, Magdi S, Ismail, Abdulla and Shi, Peng (2004) Robust Kalman filtering for discrete-time Markovian jump systems with parameter uncertainty. Journal of Computational and Applied Mathematics, 169 (1). pp. 53-69. ISSN 0377-0427

Abstract

In this paper, we examine the problem of robust Kalman filtering for a class of linear uncertain discrete-time systems with Markovian jump parameters. The underlying system is subjected to norm-bounded time-varying uncertainties in the state and measurement equations. First, stochastic quadratic stability of the system is studied. Then a linear state estimator is constructed such that the estimation error covariance is guaranteed to lie within certain bound for all admissible uncertainties. The solution is given in terms of two coupled algebraic Riccati equations.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/2626
DOI	10.1016/j.cam.2003.11.002
Official URL	http://dx.doi.org/10.1016/j.cam.2003.11.002
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Keywords	ResPubID18896, Discrete-time system, Kalman filtering, Markovian jump parameter, stochastic stability, uncertainty
Citations in Scopus	66 - View on Scopus
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