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Consistent Kalman filters for nonlinear uncertain systems over sensor networks
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0002-5744-1371
LSC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China ; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China.
LSC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China ; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2020 (English)In: Control Theory and Technology, ISSN 2095-6983, Vol. 18, no 4, p. 399-408Article in journal (Refereed) Published
Abstract [en]

In this paper, we study how to design filters for nonlinear uncertain systems over sensor networks. We introduce two Kalman-type nonlinear filters in centralized and distributed frameworks. Moreover, the tuning method for the parameters of the filters is established to ensure the consistency, i.e., the mean square error is upper bounded by a known parameter matrix at each time. We apply the consistent filters to the track-to-track association analysis of multi-targets with uncertain dynamics. A novel track-to-track association algorithm is proposed to identify whether two tracks are from the same target. It is proven that the resulting probability of mis-association is lower than the desired threshold. Numerical simulations on track-to-track association are given to show the effectiveness of the methods.

Place, publisher, year, edition, pages
Springer Nature , 2020. Vol. 18, no 4, p. 399-408
Keywords [en]
Consistency, Distributed filter, Kalman filter, Track-to-track association, Mean square error, Numerical methods, Sensor networks, Uncertain systems, Distributed framework, Multi-targets, Nonlinear uncertain systems, Parameter matrices, Tuning method, Uncertain dynamics, Kalman filters
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-291383DOI: 10.1007/s11768-020-00012-0ISI: 000702369200007Scopus ID: 2-s2.0-85096996757OAI: oai:DiVA.org:kth-291383DiVA, id: diva2:1542776
Note

QC 20210408

Available from: 2021-04-08 Created: 2021-04-08 Last updated: 2022-06-25Bibliographically approved

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He, XingkangHu, Xiaoming

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