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Communication Dans Un Congrès Année : 2023

LMI-based $\mathcal{H}_\infty$ observer design for nonlinear Lipschitz system

Marouane Alma
  • Fonction : Auteur
  • PersonId : 950281
  • IdRef : 153386096
Ali Zemouche
M. Haddad
  • Fonction : Auteur

Résumé

The problem of circle criterion-based H∞ observer design for nonlinear systems is addressed in this article. An LMI-based observer is developed for the nonlinear Lipschitz systems with linear outputs under the presence of noise/disturbances. The proposed LMI condition is obtained by using reformulated Lipschitz property, standard Young’s relation and a newly defined positive definite matrix multiplier. The inclusion of the matrix multiplier adds additional numbers of decision variables in the LMI, which provides extra degrees of freedom from a feasibility point of view. Further, the performance of the proposed observer is validated using numerical examples.

Domaines

Automatique

Dates et versions

hal-04016027 , version 1 (06-03-2023)

Identifiants

Citer

Shivaraj Mohite, Marouane Alma, Ali Zemouche, M. Haddad. LMI-based $\mathcal{H}_\infty$ observer design for nonlinear Lipschitz system. 22nd IFAC World Congress, IFAC 2023, Jul 2023, Yokohama, Japan. pp.6745-6750, ⟨10.1016/j.ifacol.2023.10.380⟩. ⟨hal-04016027⟩
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