LPV filter design for discrete-time systems with time-domain IQCs

Marcio J. Lacerda, Peter Seiler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper is concerned with the filter design problem for linear parameter varying (LPV) discrete-time systems with nonlinearities described by integral quadratic constraints. The LPV system is considered to have an arbitrary dependence on the time-varying parameters, not necessarily rational. The filter designed assures a bound to the worst case gain from the disturbance input to the filtering error. The development of the proposed approach is based on the existence of a quadratic storage function. The conditions are given in terms of linear matrix inequalities and are derived through congruence transformations and change of variables. Numerical examples illustrate the applicability and performance of the proposed method.

Original languageEnglish (US)
Title of host publication2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1042-1047
Number of pages6
ISBN (Electronic)9781509007592
DOIs
StatePublished - Oct 19 2016
Event2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina
Duration: Sep 19 2016Sep 22 2016

Publication series

NameProceedings of the IEEE International Symposium on Computer-Aided Control System Design
Volume2016-October
ISSN (Print)2165-3011
ISSN (Electronic)2165-302X

Other

Other2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
Country/TerritoryArgentina
CityBuenos Aires
Period9/19/169/22/16

Bibliographical note

Funding Information:
This work was supported by the São Paulo Research Foundation (FAPESP) grant 2015/00269-5. This work was also supported by the National Science Foundation under Grant No. NSF-CMMI-1254129 entitled "CAREER: Probabilistic Tools for High Reliability Monitoring and Control of Wind Farms".

Publisher Copyright:
© 2016 IEEE.

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