Interpolation Aproach To the H∞ Filter Problem

D. Ho; U. Shaked; M. J. Grimble; A. Elsayed

doi:10.1007/978-1-4612-4484-4_37

Interpolation Aproach To the H∞ Filter Problem

D. Ho, U. Shaked, M. J. Grimble, A. Elsayed

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The H∞ optimization problem is solved by the equalizing solutions technique which requires a special type of Diophantine equations to be solved. This type of Diophantine equation is difficult to solve numerically in the multivariable case. The application of the directional interpolation approach to the H∞ filtering design problem is considered in this paper. This approach provides an explicit solution to the problem without the need for approximation techniques.

Original language	Undefined/Unknown
Title of host publication	Robust Control of Linear Systems and Nonlinear Control: Proceedings of the International Symposium MTNS-89, Volume II
Editors	M. A. Kaashoek, J. H. van Schuppen, A. C. M. Ran
Place of Publication	Boston, MA
Publisher	Birkhäuser Boston
Pages	387-395
Number of pages	9
ISBN (Print)	978-1-4612-4484-4
DOIs	https://doi.org/10.1007/978-1-4612-4484-4_37
State	Published - 1990

Access to Document

10.1007/978-1-4612-4484-4_37

https://doi.org/10.1007/978-1-4612-4484-4_37

Cite this

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title = "Interpolation Aproach To the H∞ Filter Problem",

abstract = "The H∞ optimization problem is solved by the equalizing solutions technique which requires a special type of Diophantine equations to be solved. This type of Diophantine equation is difficult to solve numerically in the multivariable case. The application of the directional interpolation approach to the H∞ filtering design problem is considered in this paper. This approach provides an explicit solution to the problem without the need for approximation techniques.",

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Interpolation Aproach To the H∞ Filter Problem. / Ho, D.; Shaked, U.; Grimble, M. J. et al.
Robust Control of Linear Systems and Nonlinear Control: Proceedings of the International Symposium MTNS-89, Volume II. ed. / M. A. Kaashoek; J. H. van Schuppen; A. C. M. Ran. Boston, MA: Birkhäuser Boston, 1990. p. 387-395.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Shaked, U.

AU - Grimble, M. J.

AU - Elsayed, A.

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Y1 - 1990

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SN - 978-1-4612-4484-4

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BT - Robust Control of Linear Systems and Nonlinear Control: Proceedings of the International Symposium MTNS-89, Volume II

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