Volume 30, Issue 5 pp. 1831-1849
RESEARCH ARTICLE

Event-triggered finite-time reliable control for nonhomogeneous Markovian jump systems

Xiaobin Gao

Xiaobin Gao

School of Automation, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

School of Automation Science and Engineering, South China University of Technology, Guangdong, 510640 Guangzhou, China

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Feiqi Deng

Feiqi Deng

School of Automation Science and Engineering, South China University of Technology, Guangdong, 510640 Guangzhou, China

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Xiao-Meng Li

Xiao-Meng Li

School of Automation, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

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Qi Zhou

Corresponding Author

Qi Zhou

School of Automation, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangdong, 510006 Guangzhou, China

Correspondence Qi Zhou, School of Automation and the Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou 510006, Guangdong, China

Email: [email protected]

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First published: 27 December 2019
Citations: 14

Summary

This article investigates the event-triggered finite-time reliable control problem for a class of Markovian jump systems with time-varying transition probabilities, time-varying actuator faults, and time-varying delays. First, a Luenberger observer is constructed to estimate the unmeasured system state. Second, by applying an event-triggered strategy from observer to controller, the frequency of transmission is reduced. Third, based on linear matrix inequality technique and stochastic finite-time analysis, event-triggered observer-based controllers are designed and sufficient conditions are given, which ensure the finite-time boundedness of the closed-loop system in an H sense. Finally, an example is utilized to show the effectiveness of the proposed controller design approach.

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