Interpolation Aproach To the H∞ Filter Problem

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

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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 languageUndefined/Unknown
Title of host publicationRobust Control of Linear Systems and Nonlinear Control: Proceedings of the International Symposium MTNS-89, Volume II
EditorsM. A. Kaashoek, J. H. van Schuppen, A. C. M. Ran
Place of PublicationBoston, MA
PublisherBirkhäuser Boston
Number of pages9
ISBN (Print)978-1-4612-4484-4
StatePublished - 1990

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