A novel delta operator Kalman filter design and convergence analysis

dc.contributor.authorYang, H.
dc.contributor.authorXia, Y.
dc.contributor.authorShi, P.
dc.contributor.authorFu, M.
dc.date.issued2011
dc.description.abstractThis paper focuses on the development of a delta operator Kalman filter and its convergence analysis. The delta operator Kalman filter is designed to estimate the state vectors of a delta operator system. Note that the designed delta operator Kalman filter can express both continuous-time and discrete-time cases. Then, the convergence analysis of the delta operator Kalman filter is also investigated by using Lyapunov approach in delta domain. Furthermore, this paper gives fundamental results for the analysis and application of the delta operator Kalman filter as a state observer in an inverted pendulum model. Some experimental results of an inverted pendulum on a laboratory-scale setup are presented to illustrate the effectiveness of the designed Kalman filter and its implementation.
dc.description.statementofresponsibilityHongjiu Yang, Yuanqing Xia, Peng Shi, Senior Member, and Mengyin Fu
dc.identifier.citationIEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2011; 58(10):2458-2468
dc.identifier.doi10.1109/TCSI.2011.2131330
dc.identifier.issn1549-8328
dc.identifier.issn1558-0806
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/83090
dc.language.isoen
dc.publisherIEEE
dc.rights© 2011 IEEE
dc.source.urihttps://doi.org/10.1109/tcsi.2011.2131330
dc.titleA novel delta operator Kalman filter design and convergence analysis
dc.typeJournal article
pubs.publication-statusPublished

Files