Robust LPV estimator synthesis using integral quadratic constraints

Raghu Venkataraman, Peter J Seiler Jr

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

6 Scopus citations


A method is presented for synthesizing output estimators for a class of continuous time, uncertain, linear parameter-varying (LPV) systems. The uncertain system is described as an interconnection of a nominal LPV system and a block structured perturbation. The nominal LPV system is gridded over the space of parameters, with the state matrices being arbitrary functions of the parameters. The input/output behavior of the perturbation is described by integral quadratic constraints. The main contribution of this paper is the derivation of convex conditions for the synthesis of output estimators for uncertain, grid-based LPV plants. Since LPV systems do not have valid frequency response interpretations, the time domain, dissipation inequality approach is followed. Robust performance is measured using the upper-bound on the worst-case induced-L2 gain of the closed loop. The effectiveness of the proposed method is demonstrated using a numerical example.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781467386821
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

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


Other2016 American Control Conference, ACC 2016
Country/TerritoryUnited States

Bibliographical note

Funding Information:
The authors would like to thank Marcio Lacerda, Tamas Peni, Harald Pfifer, and Shu Wang for insightful discussions. This work was supported by the National Science Foundation under Grant No. NSF/CNS-1329390 entitled CPS: Breakthrough: Collaborative Research: Managing Uncertainty in the Design of Safety-Critical Aviation Systems

Publisher Copyright:
© 2016 American Automatic Control Council (AACC).


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