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Fault-tolerant control for uncertain switched random systems with multiple interval time-varying delays and intermittent faults

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Abstract

This paper focuses on the passive fault-tolerant control for an uncertain switched nonlinear random system with multiple interval time-varying delays and intermittent faults in sensors and actuators. There are also nonlinear functions, exogenous disturbances and measurement noise in the system. There are few tries to realize noise-to-state exponentially mean-square stability for switched random nonlinear systems subject to multiple interval time-varying delays allowing various time delay cases. Random differential equations are more common than stochastic differential equations in practice. Thus, the suggested method is more practicable. First, a nonlinear dynamic output feedback fault-tolerant controller is constructed. Next, an augmented closed-loop system can be obtained in the framework of multiple interval time-varying delays. Then piecewise Lyapunov function is utilized to realize stability analysis for the closed-loop system. At last, this feasibility of this approach presented in this study is verified through two examples.

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Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 400044, China

    Shaoxin Sun & Xin Dai

  2. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Ruipeng Xi & Juan Zhang

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  1. Shaoxin Sun
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  2. Xin Dai
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  4. Juan Zhang
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Correspondence to Shaoxin Sun.

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The authors declare that they have no conflicts of interest to this work. We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work. There is no any commercial or associative interest that represents a conflict of interest in connection with the paper submitted.

Acknowledgements This work was supported by Key-Area Research and Development Program of Guangdong Province under Grant 2020B0909020001, the third batch of special grants of China Postdoctoral Science Foundation under Grant 2021TQ0392 and Chongqing Postdoctoral Science Foundation under Grants cstc2020jcyj-bsh0060 and cstc2020jcyj-bshX0100.

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Sun, S., Dai, X., Xi, R. et al. Fault-tolerant control for uncertain switched random systems with multiple interval time-varying delays and intermittent faults. Neural Comput & Applic 33, 17471–17487 (2021). https://doi.org/10.1007/s00521-021-06338-3

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