Robust H filter design using frequency gridding

Peter J Seiler Jr, Balint Vanek, József Bokor, Gary J. Balas

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

14 Scopus citations


This paper considers the design of robust H filters for continuous-time linear systems with uncertainties described by integral quadratic constraints (IQCs). The synthesis problem can be converted into an infinite-dimensional optimization with frequency dependent linear matrix inequality constraints on the filter and IQC multipliers. This optimization is approximated by a finite dimensional semidefinite program by restricting the filter to be a linear combination of basis functions and enforcing the constraints on a finite, but dense, grid of frequencies. A heuristic algorithm is described to quickly solve the resulting finite dimensional optimization. A small example is provided to demonstrate the proposed algorithm.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Number of pages6
StatePublished - 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Publication series

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


Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA

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