Title: H_∞ observer design for T-S fuzzy singular systems with time varying delay

Authors: Oussama Esfouna; El Houssaine Tissir; Mohamed Ouahi

Addresses: Department of Physics, Faculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, 30000 Fez, Morocco ' Department of Physics, Faculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, 30000 Fez, Morocco ' Department of Industrial Engineering, National School of Applied Sciences, Sidi Mohammed Ben Abdellah University, 30000 Fez, Morocco

Abstract: The present paper focuses on the H_∞ observer design problem for T-S fuzzy singular systems with time-varying delay. The objective is to design a proportional derivative observer such that the dynamic observation error is stable and satisfies the H_∞ performance. The stability of the observation error system is obtained by implementing a new fuzzy Lyapunov-Krasovskii function. The conditions for the solvability of this problem are formulated in terms of linear matrix inequalities (LMIs). At the end of this paper, some numerical examples are given to illustrate our approach and to show the less conservativeness with respect to some literature results.

Keywords: singular system; observer; T-S fuzzy; delay; H_∞ norm.

DOI: 10.1504/IJSCC.2022.123918

International Journal of Systems, Control and Communications, 2022 Vol.13 No.3, pp.266 - 281

Received: 14 Dec 2021
Accepted: 05 Jan 2022
Published online: 04 Jul 2022 *

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