Title: H∞ performance analysis and switching control design for uncertain discrete switched time-delay systems

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

Addresses: 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 ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan

Abstract: The H∞ performance analysis and switching control of uncertain discrete switched time-delay systems with linear fractional perturbations are studied in this paper. The design of a simple switching signal is developed to acquire LMI conditions which achieve H∞ performance and switching control of discrete switched time-delay system. The conservativeness of obtained results can be improved by using the delay-partitioning approach. The using LMI variables number is less than our past proposed non-negative inequality approach. Finally, we use some numerical examples to illustrate the major improvement of the developed results.

Keywords: H∞ performance analysis; switching control; design of switching signal; discrete switched systems; time-delay; delay-partitioning approach.

DOI: 10.1504/IJAAC.2021.113339

International Journal of Automation and Control, 2021 Vol.15 No.2, pp.170 - 197

Received: 18 Jul 2019
Accepted: 06 Aug 2019

Published online: 01 Mar 2021 *

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