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Open AccessArticle

Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays

by Yi Gao 1,2, YunJi Li 1,†, Li Peng 1,3,*,† and Junyu Liu 4
Engineering Research Center of Internet of Things Technology Applications Ministry of Education, Jiangnan University, Wuxi 214122, China
Jiangsu Provincial Sensor Network Engineering Technology Research Center, Wuxi Institute of Technology, Wuxi 214121, China
Jiangsu Key Laboratory of IOT Application Technology, Taihu University of Wuxi, Wuxi 214064, China
Dublin Institute of Technology, 19A Lower Kevin Street, Dublin 8, Ireland
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Sensors 2018, 18(6), 1929;
Received: 18 May 2018 / Revised: 9 June 2018 / Accepted: 11 June 2018 / Published: 13 June 2018
This paper proposes two novel, event-triggered fault-tolerant control strategies for a class of stochastic systems with state delays. The plant is disturbed by a Gaussian process, actuator faults, and unknown disturbances. First, a special case about fault signals that are coupled to the unknown disturbances is discussed, and then a fault-tolerant strategy is designed based on an event condition on system states. Subsequently, a send-on-delta transmission framework is established to deal with the problem of fault-tolerant control strategy against fault signals separated from the external disturbances. Two criteria are provided to design feedback controllers in order to guarantee that the systems are exponentially mean-square stable, and the corresponding H-norm disturbance attenuation levels are achieved. Two theorems were obtained by synthesizing the feedback control gains and the desired event conditions in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed theoretical results. View Full-Text
Keywords: time delays; event-triggered control; robust H control; mean-square stability time delays; event-triggered control; robust H control; mean-square stability
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Gao, Y.; Li, Y.; Peng, L.; Liu, J. Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays. Sensors 2018, 18, 1929.

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