NDLI: A set-valued filter for discrete time polynomial systems using sum of squares programming

Content Provider	IEEE Xplore Digital Library
Author	Maier, C. Allgower, F.
Copyright Year	2009
Description	Author affiliation: Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany (Maier, C.; Allgower, F.)
Abstract	In this paper, we propose a novel approach for robust state reconstruction of multi-output discrete-time systems with polynomial nonlinear dynamics and measurements in presence of unknown but bounded disturbances corrupting both the state and measurement equations. The proposed recursive algorithm is based on ellipsoidal state bounding techniques and consists of a two-step prediction-correction procedure, with each step requiring the solution of a convex optimization problem under sum of squares rather than linear matrix inequality constraints. The presented approach reduces the conservatism in the calculation of the state bounding ellipsoid when compared to existing robust filtering approaches. The applicability and effectiveness of the new algorithm is exemplarily shown in numerical simulations of a benchmark system.
Starting Page	223
Ending Page	228
File Size	1150252
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400697
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Filters Polynomials Ellipsoids Uncertainty Robustness Nonlinear equations Signal processing algorithms State estimation Nonlinear systems Symmetric matrices
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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