Robust H filter design using frequency gridding

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

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

14 Citations (Scopus)

Abstract

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
Title of host publicationProceedings of the American Control Conference
Pages1801-1806
Number of pages6
Publication statusPublished - 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period6/29/117/1/11

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Heuristic algorithms
Linear matrix inequalities
Linear systems
Uncertainty

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Seiler, P., Vanek, B., Bokor, J., & Balas, G. J. (2011). Robust H filter design using frequency gridding. In Proceedings of the American Control Conference (pp. 1801-1806). [5990748]

Robust H filter design using frequency gridding. / Seiler, Peter; Vanek, Balint; Bokor, J.; Balas, Gary J.

Proceedings of the American Control Conference. 2011. p. 1801-1806 5990748.

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

Seiler, P, Vanek, B, Bokor, J & Balas, GJ 2011, Robust H filter design using frequency gridding. in Proceedings of the American Control Conference., 5990748, pp. 1801-1806, 2011 American Control Conference, ACC 2011, San Francisco, CA, United States, 6/29/11.
Seiler P, Vanek B, Bokor J, Balas GJ. Robust H filter design using frequency gridding. In Proceedings of the American Control Conference. 2011. p. 1801-1806. 5990748
Seiler, Peter ; Vanek, Balint ; Bokor, J. ; Balas, Gary J. / Robust H filter design using frequency gridding. Proceedings of the American Control Conference. 2011. pp. 1801-1806
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