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Type: Journal article
Title: Nonfragile and nonsynchronous synthesis of reachable set for Bernoulli switched systems
Author: Che, W.W.
Su, H.
Shi, P.
Wu, Z.G.
Citation: IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020; 50(2):726-731
Publisher: IEEE
Issue Date: 2020
ISSN: 2168-2216
Statement of
Wei-Wei Che, Hongye Su, Peng Shi , and Zheng-Guang Wu
Abstract: In this paper, the problems of nonfragile and nonsynchronous synthesis for Bernoulli switched systems are studied. The disturbances in the systems are assumed to have bounded peak in the sense of mean square. With the interval additive gain variations consideration, a nonfragile and nonsynchronous controller is designed subject to a nonsynchronous assumption that the switching signals of the system are not accurately gained for synthesis. A sufficient condition that is dependent on the known sojourn probabilities of switching signals is proposed to ascertain the reachable set of the closed-loop system, which is a hidden Bernoulli model, mean square contained in an ellipsoid-like set. Several nonfragile and nonsynchronous controllers are parameterized to guarantee the corresponding requirements to be satisfied for the closed-loop systems. The effectiveness and advantages of the proposed new design techniques are illustrated by a numerical simulation example.
Keywords: Bounded disturbances; nonfragile controller; nonsynchronous controller; reachable set; switched systems
Description: Date of Publication: 06 December 2017
Rights: © 2017 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See for more information.
DOI: 10.1109/TSMC.2017.2773480
Grant ID: 61773131
Published version:
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Electrical and Electronic Engineering publications

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