Robust H filtering for polynomial nonlinear systems using sum of squares optimization

Dan Zhao, Jian Liang Wang

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

The robust H filtering problem for the polynomial nonlinear systems against parametric uncertainty is investigated in this paper. By introducing additional matrix variables, we succeed in eliminating the coupling terms among system dynamics, filter dynamics and the Lyapunov matrix. Sufficient conditions to guarantee the filter stability with guaranteed H norm from the unknown norm-bounded disturbance signal to the estimation error are derived in terms of state dependent matrix inequalities, which provide an effective way for the application of the new sum of squares programming technique to obtain computationally tractable solutions. Robust H filter is designed in an efficient computational manner. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methodology.

Original languageEnglish
Title of host publication2010 8th IEEE International Conference on Control and Automation, ICCA 2010
Pages848-853
Number of pages6
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event2010 8th IEEE International Conference on Control and Automation, ICCA 2010 - Xiamen, China
Duration: 9 Jun 201011 Jun 2010

Publication series

Name2010 8th IEEE International Conference on Control and Automation, ICCA 2010

Conference

Conference2010 8th IEEE International Conference on Control and Automation, ICCA 2010
Country/TerritoryChina
CityXiamen
Period9/06/1011/06/10

ASJC Scopus subject areas

  • Control and Systems Engineering

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