Full order H-infinity filtering for linear systems in the frequency domain

Montassar Ezzine (1, 2) , Mohamed Darouach (1) , Harouna Souley Ali (1) , Hassani Messaoud (2)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 ENIM - École Nationale d’Ingénieurs de Monastir

This paper proposes an easier frequency domain solution to the standard H-infinity filtering problem using a polynomial approach. The design of the H-infinity 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.

Mots clés: Matrix Fraction Description (MFD).; H-infinity filtering; linear systems; Frequency domain; Polynomial approach; Matrix Fraction Description (MFD)

Domaines: Automatique / Robotique

Montassar Ezzine, Mohamed Darouach, Harouna Souley Ali, Hassani Messaoud. Full order H-infinity filtering for linear systems in the frequency domain. International Journal of Control, Automation and Systems, 2011, 9 (3), pp.558-565. ⟨10.1007/s12555-011-0316-y⟩. ⟨hal-00605265⟩