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Event-driven Fault Tolerant Control for Networked Switched Linear Systems with Asynchronous Switching

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  • Control Theory and Applications
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Abstract

In this paper, the event-driven fault tolerant control is investigated for networked switched linear systems subject to actuator failures with asynchronous switching. Firstly, by applying the augmented switching signal technique and event-driven communication scheme, the original systems is established as a closed-loop linear switched systems, and the fault tolerant control is considered for networked switched linear systems under the given actuator failures model. In addition, compared with the common Lyapunov function method, a piece-wise Lyapunov function is proposed in this paper to analysis the H∞ performance of the switched linear systems with actuator failures. After that, sufficient conditions are established to ensure the exponential stability of systems, which are obtained under dwell time and average dwell time, respectively. Finally, an example is given to illustrate the effectiveness of the conclusion.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Yang Song & Xiaowu Mu

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  1. Yang Song
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Correspondence to Xiaowu Mu.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work is supported by National Natural Science Foundation of China under Grant No.11971444.

Yang Song received her B.S. degree from the School of Mathematics and Statistics, Xinyang Normal University. She is currently working toward an M.S. degree in the School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China. Her current research interests include stability analysis, switched systems, and asynchronous switching.

Xiaowu Mu received his B.S., M.S. and Ph.D. degrees from the Department of Mathematics of Peking University, in 1983, 1988, and 1991, respectively. Currently, he is a Professor in Zhengzhou University. His research interests include stochastic systems, hybrid systems, nonlinear control, and network control systems.

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Song, Y., Mu, X. Event-driven Fault Tolerant Control for Networked Switched Linear Systems with Asynchronous Switching. Int. J. Control Autom. Syst. 19, 2009–2017 (2021). https://doi.org/10.1007/s12555-020-0327-7

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  • DOI: https://doi.org/10.1007/s12555-020-0327-7

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