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Full Order H∞ Filtering for Linear Systems in the Frequency Domain

Montassar Ezzine, Harouna Souley Ali*, Mohamed Darouach, and Hassani Messaoud
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.558-565, 2011

Abstract : This paper proposes an easier frequency domain solution to the standard H∞ filtering problem using a polynomial approach. The design of the H∞ filter in the frequency domain is first obtained from the time domain solution which is related to a Riccati equation, and then by the use of the connecting relationship between the time and frequency domain approach given by Hippe [8], its representation in the frequency domain is derived. The filter is easy to calculate as it requires the computation of a single gain and it is easily implementable also. A numerical example is given to illustrate the presented approach.

Keyword : Frequency domain, H∞ filtering, linear systems, matrix fraction description (MFD), polynomial approach.

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