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Multiple delay-dependent noise-to-state stability for a class of uncertain switched random nonlinear systems with intermittent sensor and actuator faults

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Abstract

This paper focuses on multiple delay-dependent noise-to-state stability (NSS) for a class of switched random nonlinear systems against uncertainty terms and intermittent sensor and actuator faults. External disturbances, nonlinear functions, as well as measurement noise, are also taken into account. This is the first attempt to achieve dynamic output feedback controller design for uncertain switched random nonlinear systems subject to intermittent sensor and actuator faults. First, a controller is established to perform passive fault-tolerant control (FTC). Random systems are more common than Itô stochastic systems. Thus, compared with the previous works, the proposed controller has a wider application scope and is more feasible. Next, an augmented closed-loop system is exhibited to realize NSS. Moreover, a piecewise Lyapunov function is utilized with less conservatism than common Lyapunov function. The delay dependent stability conditions are gathered via linear matrix inequalities (LMIs) and controller matrices are earned. At last, the novelty and validity of the approach suggested in this paper are demonstrated through two simulation examples.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61627809, 61433004, 61621004), and Liaoning Revitalization Talents Program (XLYC1801005).

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Authors and Affiliations

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

    Shaoxin Sun, Huaguang Zhang & Zhiyun Gao

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, 110004, China

    Huaguang Zhang

  3. School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong, 264025, China

    Jian Han

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  1. Shaoxin Sun
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Correspondence to Huaguang Zhang.

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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.

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Sun, S., Zhang, H., Han, J. et al. Multiple delay-dependent noise-to-state stability for a class of uncertain switched random nonlinear systems with intermittent sensor and actuator faults. Appl Intell 51, 265–282 (2021). https://doi.org/10.1007/s10489-020-01753-w

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