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Improvement of state estimation for systems with chaotic noise

Author(s)
Sooraksa, Pitikhate
Jandaeng, Prakob
Date Issued
December 1, 2008
Type
Conference Paper
DOI
10.1007/978-0-387-74905-1_23
Abstract
To estimate the state of the system, one needs the covariance matrices as the inputs. The accuracy of the new prediction of the estimation is based recursively on the previous ones. To search for the optimal solution, researchers try to obtain best closed-state approximation for the covariance inputs using the Kalman filtering technique. Many variations of the technique have been proposed for many years. However, in this chapter, our version presents a new improvement of state estimation of the systems with various chaotic noises. Introducing an updated scaling factor to the covariance matrices is a simple modification yet provides a highly effective way to estimate the state of the system in the presence of chaotic noises. Performance comparison among the original Kalman filter, an adaptive version, and our enhanced one is carried out. Computer simulation shows remarkable improvement of the proposed method for estimation of the state of the systems with chaotic noises. © 2008 Springer Science+Business Media, LLC.
Citation
Lecture Notes in Electrical Engineering, 5 LNEE, 315-325, 2008
Subjects

chaos

estimator

Kalman filter

noise

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