Kalman filtering for delayed singular systems with multiplicative noise

Autor: Xiao Lu, Linglong Wang, Xianghua Wang, Haixia Wang
Rok vydání: 2016
Předmět:
Zdroj: IEEE/CAA Journal of Automatica Sinica. 3:51-58
ISSN: 2329-9274
2329-9266
DOI: 10.1109/jas.2016.7373762
Popis: Kalman filtering problem for singular systems is dealt with, where the measurements consist of instantaneous measurements and delayed ones, and the plant includes multiplicative noise. By utilizing standard singular value decomposition, the restricted equivalent delayed system is presented, and the Kalman filters for the restricted equivalent system are given by using the well-known re-organization of innovation analysis lemma. The optimal Kalman filter for the original system is given based on the above Kalman filter by recursive Riccati equations, and a numerical example is presented to show the validity and efficiency of the proposed approach, where the comparison between the filter and predictor is also given.
Databáze: OpenAIRE