Title: Robust mixed performance for uncertain Takagi-Sugeno fuzzy time-delay systems with linear fractional perturbations

Authors: Chang-Hua Lien; Sundarapandian Vaidyanathan; Ker-Wei Yu; Hao-Chin Chang

Addresses: Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan ' Research and Development Centre, Vel Tech University, Avadi, Chennai-600 062, Tamil Nadu, India ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan

Abstract: The robust mixed H₂/H_∞ performance for Takagi-Sugeno (T-S) fuzzy systems with time delay and linear fractional perturbations is considered in this paper. Some delay-dependent conditions have been proposed to guarantee the mixed performance of uncertain fuzzy time-delay systems. The LMI optimisation approach is used to find the minimisation of H₂ performance measure. Some numerical simulations are illustrated to show the significant improvement over some previous results.

Keywords: mixed H₂/H_∞ performance; Takagi-Sugeno fuzzy systems; time delay; linear fractional perturbations.

DOI: 10.1504/IJMIC.2019.097992

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.2, pp.193 - 203

Received: 24 Nov 2017
Accepted: 19 Jan 2018
Published online: 26 Feb 2019 *

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