Title: H_∞ performance of continuous switched time-delay systems with sector and norm bounded nonlinearities

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: In this paper, the exponential stabilisation and H_∞ performance analysis for switched systems with time-varying interval delay and multiple nonlinearities by switching rule design are considered. H_∞ performance is guaranteed by the proposed LMI delay-dependent criteria via the selection of the switching rule. The selected scheme of switching rule is developed to improve the difficulty for the generalisation of the proposed main results. Finally, some examples are presented to show the less conservativeness of our developed results.

Keywords: H_∞ performance; Park inequality; switched system; switching rule; time-varying interval delay; sector bounded nonlinearities; norm bounded nonlinearities.

DOI: 10.1504/IJMIC.2019.098775

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.3, pp.229 - 244

Received: 31 Jan 2018
Accepted: 12 Mar 2018
Published online: 02 Apr 2019 *

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