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A New H∞ Filter for a Nonlinear Singular System in Frequency domain
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  • Fezai Emna,
  • Hamzaoui Fatma,
  • Khadhraoui Malek,
  • Hassani Messaoud
Fezai Emna
Universite de Monastir Faculte des Sciences de Monastir

Corresponding Author:[email protected]

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Hamzaoui Fatma
Universite de Monastir Faculte des Sciences de Monastir
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Khadhraoui Malek
Universite de Monastir Faculte des Sciences de Monastir
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Hassani Messaoud
Universite de Monastir Faculte des Sciences de Monastir
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Abstract

This paper introduces a new design for a H ∞ filter for nonlinear singular systems with bounded disturbance in the time domain, the frequency domain based on both time and frequency domain.In addition, we present results comparison between three filter design methods. The main objective of such a design is the estimation of the state vector. The proposed filter design is verified when using coupled multimodel architecture. In this note, we propose to adopt the Lyapunov–Krasovskii theory to ensure the filter stability by using a Lyapunov functional added to a H ∞ criterion to minimize the disturbance effect.Furthermore, polynomial approach using MFD tools is employed to describe the filter dynamic in the frequency domain. A numerical example is given to demonstrate the effectiveness of the proposed design.