Design of a full order H∞ filter using a polynomial approach

Author

Ezzine, M. ; Souley Ali, Harouna ; Darouach, M. ; Messaoud, H.

Author_Institution

Ecole Nat. d´Ing. de Monastir, Monastir, Tunisia

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

593

Lastpage

598

Abstract

The paper deals with a frequency domain solution to the standard H_∞ filtering problem for linear time-invariant multivariable systems where all measurements are affected by disturbances using a polynomial approach. The design procedure is first obtained by considering time domain solution which is related to a Riccati equation , and then due to the connecting relationship that parameterizes the dynamics behavior between time and frequency domain, given by Hippe, the full order filter representation in the frequency domain is obtained. The filter is easy to calculate as it requires the computation of a single gain and it is easily implementable also.

Keywords

H^∞ optimisation; Riccati equations; filtering theory; frequency-domain analysis; multivariable systems; polynomials; time-domain analysis; H_∞ filtering problem; Riccati equation; frequency domain solution; linear time-invariant multivariable systems; polynomial approach; Control systems; Filtering; Frequency domain analysis; Frequency measurement; Joining processes; MIMO; Nonlinear filters; Polynomials; Riccati equations; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531076

Filename

5531076