Robust delay-dependent H filtering for a class of LPV state-delayed systems

H. R. Karimi, B. Lohmann, C. Buskens

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

Abstract

This paper deals with the robust delay-dependent H filtering problem for a class of LPV systems with multiple constant time-delays in the state vector. It is shown that, by using the Hamiltonian-Jacoby-Isaac (HJI) function and the polynomially parameter-dependent quadratic functions and a suitable change of variables, the required sufficient conditions with high precision are established in terms of parameter-independent linear matrix inequalities (LMIs) for the existence of the desired H filters. However, the explicit expression of the robust delay-dependent H filters is derived to satisfy both asymptotic stability and H performance. A numerical example is provided to demonstrate the validity of the proposed design approach.

Original languageEnglish
Title of host publicationProceedings of the 2006 IEEE International Conference on Control Applications
Pages1457-1462
Number of pages6
DOIs
StatePublished - 2007
EventJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) - Munich, Germany
Duration: 4 Oct 20066 Oct 2006

Publication series

NameProceedings of the IEEE International Conference on Control Applications

Conference

ConferenceJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Country/TerritoryGermany
CityMunich
Period4/10/066/10/06

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