NDLI: All H∞ singular and normal filter design for uncertain singular systems

Content Provider	IEEE Xplore Digital Library
Author	Xu Tianqun Chen Yuepeng Zhang Jingxin Liu Huanbin Xu Tianhe
Copyright Year	2009
Description	Author affiliation: School of Automation, Wuhan University of Technology, 430070, China (Chen Yuepeng) \|\| School of Geodesy and Geomatics, Wuhan University, 430079, China (Xu Tianhe) \|\| Department of Mathematics, Huanggang Normal University, 438000, China (Liu Huanbin) \|\| School of Science, Wuhan University of Technology, 430070, China (Xu Tianqun) \|\| Electrical and Computer Systems Engineering, Monash University, Australia (Zhang Jingxin)
Abstract	In this short paper, the H∞ filter design for uncertain singular systems is considered. We study to design normal filters and singular filters for the same singular systems. Via using linear matrix inequalities (LMIs), the sufficient conditions are established for the existences of two kinds of filter forms such that two uncertain error systems are admissible and their transfer functions from the disturbance to the filtering error output satisfy a prescribed H∞-norm bound constraint. By solving LMIs, explicit parameterization expressions of all desired normal filters and singular filters are obtained. Furthermore, all results involve no decomposition the original singular system matrices. It makes that the procedure of filter design is simple and direct. Simultaneously, we still optimize and compare with their H∞ performances for uncertain error systems under two kinds of filter cases. Finally, a numerical example is given to illustrate the effectiveness of the proposed design method and compare with their H∞ performances.
Starting Page	2134
Ending Page	2139
File Size	145141
Page Count	6
File Format	PDF
ISBN	9781424427222
DOI	10.1109/CCDC.2009.5191618
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Educational programs Automation Filtering Transfer functions Nonlinear filters uncertain singular systems LMIs Mathematics Geophysics computing Sufficient conditions singular filter H∞ performance Systems engineering and theory Kalman filters normal filter
Content Type	Text
Resource Type	Article

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