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Type: Journal article
Title: Output-feedback control for T-S fuzzy delta operator systems with time-varying delays via an input-output approach
Author: Li, H.
Gao, Y.
Shi, P.
Zhao, X.
Citation: IEEE Transactions on Fuzzy Systems, 2015; 23(4):1100-1112
Publisher: Institute of Electrical and Electronics Engineers
Issue Date: 2015
ISSN: 1063-6706
Statement of
Hongyi Li, Yabin Gao, Peng Shi, and Xudong Zhao
Abstract: In this paper, the problem of induced L2 disturbance attenuation control is investigated for discrete-time Takagi–Sugeno (T–S) fuzzy delta operator systems with time-varying delays and disturbance input via an input–output approach.Amodel transformation method is utilized to approximate the time-varying delay in T–S fuzzy delta operator systems. By applying the scaled small gain (SSG) theorem and Lyapunov–Krasovskii functional approach, a sufficient condition is established to guarantee that the closed-loop system is asymptotically stable and has an induced L2 disturbance attenuation performance. The existence condition of the dynamic output-feedback controller can be solved via convex optimization problems. Finally, simulation results are given to demonstrate the feasibility and effectiveness of the proposed method.
Keywords: Delta operator system; dynamic output feedback control; induced L2 performance; time-varying delay; T–S fuzzy model
Rights: © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
DOI: 10.1109/TFUZZ.2014.2346237
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Appears in Collections:Aurora harvest 3
Electrical and Electronic Engineering publications

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