### 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 language | English |
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Title of host publication | Proceedings of the American Control Conference |

Pages | 1801-1806 |

Number of pages | 6 |

Publication status | Published - 2011 |

Event | 2011 American Control Conference, ACC 2011 - San Francisco, CA, United States Duration: Jun 29 2011 → Jul 1 2011 |

### Other

Other | 2011 American Control Conference, ACC 2011 |
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Country | United States |

City | San Francisco, CA |

Period | 6/29/11 → 7/1/11 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

_{∞}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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

_{∞}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.

_{∞}filter design using frequency gridding. In Proceedings of the American Control Conference. 2011. p. 1801-1806. 5990748

}

TY - GEN

T1 - Robust H∞ filter design using frequency gridding

AU - Seiler, Peter

AU - Vanek, Balint

AU - Bokor, J.

AU - Balas, Gary J.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=80053146034&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053146034&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:80053146034

SN - 9781457700804

SP - 1801

EP - 1806

BT - Proceedings of the American Control Conference

ER -