Title: Finite frequency observer design for T-S fuzzy systems with unknown inputs: an LMI approach

Authors: Ali Chibani; Mohammed Chadli; Naceur Benhadj Braiek

Addresses: Advanced System Laboratory, Polytechnic School of Tunisia, University of Carthage, BP. 743, 2078 La Marsa, Tunisia ' University of Picardie Jules Verne, MIS (E.A 4290), Laboratoire de Modélisation, Information et Systémes, 07 Rue Moulin Neuf, 80000, Amiens, France ' Advanced System Laboratory, Polytechnic School of Tunisia, University of Carthage, BP. 743, 2078 La Marsa, Tunisia

Abstract: This paper investigates the problem of H_∞ filtering for T-S fuzzy systems with unknown inputs. The frequency ranges of these external signals are assumed to be known beforehand and to belong in the low frequency band. The observer is designed in the low frequency domain such that the effects of the unknown inputs are attenuated to a specified level γ by means of an H_∞ performance norm. By exploiting the generalised Kalman-Yakubovich-Popov (GKYP) lemma and the Lyapunov method, sufficient design conditions are derived in linear matrix inequality (LMI) formulations for both continuous-time and discrete-time T-S fuzzy models. Finally an illustrative example is introduced to prove the effectiveness of the proposed approach.

Keywords: T-S fuzzy models; unknown inputs observer; finite frequency domain; linear matrix inequality; LMI.

DOI: 10.1504/IJMIC.2018.090468

International Journal of Modelling, Identification and Control, 2018 Vol.29 No.2, pp.109 - 117

Received: 25 May 2016
Accepted: 06 Oct 2016
Published online: 19 Mar 2018 *

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