Observer design for polynomial systems with bounded disturbances

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Abstract

Computational methods of filter and observer design are presented for a class of polynomial systems with L2- bounded disturbance via convex optimization. A measurement and estimated state dependent polynomial filter gain stabilizes the origin of the error dynamics in an invariant set. In addition to the stability of the error dynamics, a polynomial observer gain guarantees a stability of the origin of the closedloop system in another invariant set for a given polynomial dependent estimated state feedback law. To compute the filter and observer gains and the invariant sets, matrix sum of squares relaxation and semidefinite programming are effectively applied. Numerical examples illustrate the design methods of the paper.

Original languageEnglish
Title of host publication2009 American Control Conference, ACC 2009
Pages5309-5314
Number of pages6
DOIs
Publication statusPublished - 23 Nov 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2009 American Control Conference, ACC 2009
CountryUnited States
CitySt. Louis, MO
Period10/06/0912/06/09

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Ichihara, H. (2009). Observer design for polynomial systems with bounded disturbances. In 2009 American Control Conference, ACC 2009 (pp. 5309-5314). [5160001] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5160001