Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters | IEEE Journals & Magazine | IEEE Xplore

Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters


Abstract:

The problem of continuous-time Kalman filtering for a class of linear, uncertain time-lag systems with randomly jumping parameters is considered. The parameter uncertaint...Show More

Abstract:

The problem of continuous-time Kalman filtering for a class of linear, uncertain time-lag systems with randomly jumping parameters is considered. The parameter uncertainties are norm bounded and the transitions of the jumping parameters are governed by a finite-state Markov process. We establish LMI-based sufficient conditions for stochastic stability. The conditions under which a linear delay-less state estimator guarantees that the estimation error covariance lies within a prescribed bound for all admissible uncertainties are investigated. It is established that a robust Kalman filter algorithm can be determined in terms of two Riccati equations involving scalar parameters. The developed theory is illustrated by a numerical example.
Page(s): 98 - 105
Date of Publication: 31 January 2003

ISSN Information:


Contact IEEE to Subscribe

References

References is not available for this document.