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Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults

Author

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  • Sakthivel, R.
  • Joby, Maya
  • Wang, Chao
  • Kaviarasan, B.

Abstract

This paper deals with the problem of finite-time fault-tolerant control design for a class of neutral systems subject to actuator saturation in which the time-varying delay appears in both the state and the state derivative. Specifically, this is the first attempt to consider the concept of finite-time stability for neutral systems under nonlinear fault-tolerant controller. In particular, the fault model which consists of both linear and nonlinear parts is implemented through the design of controller. By applying the Lyapunov technique and some integral inequalities, a set of sufficient conditions is derived in the form of linear matrix inequalities to ensure the finite-time stability of the addressed neutral systems. Finally, two numerical examples with simulation results are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:425-436
    DOI: 10.1016/j.amc.2018.03.081
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    References listed on IDEAS

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    1. Dong, Jiuxiang & Hou, Junteng, 2017. "Output feedback fault-tolerant control by a set-theoretic description of T–S fuzzy systems," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 117-134.
    2. Chen, Guici & Gao, Yu & Zhu, Shasha, 2017. "Finite-time dissipative control for stochastic interval systems with time-delay and Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 169-181.
    3. Fu, Lei & Ma, Yuechao, 2016. "Passive control for singular time-delay system with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 181-193.
    4. Chang, Xiao-Heng & Li, Zhi-Min & Xiong, Jun & Wang, Yi-Ming, 2017. "LMI approaches to input and output quantized feedback stabilization of linear systems," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 162-175.
    5. R. Sakthivel & M. Sathishkumar & Y. Ren & O.M. Kwon, 2017. "Fault-tolerant sampled-data control of singular networked cascade control systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2079-2090, July.
    6. Gao, Fang & Wu, Min & She, Jinhua & Cao, Weihua, 2016. "Disturbance rejection in nonlinear systems based on equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 244-253.
    7. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    8. Liu, Zhen & Gao, Cunchen & Kao, Yonggui, 2015. "Robust H-infinity control for a class of neutral-type systems via sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 669-681.
    9. Sakthivel, R. & Karthick, S.A. & Kaviarasan, B. & Lim, Yongdo, 2017. "Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 129-147.
    10. Shen, Mouquan & Yan, Shen & Zhang, Guangming & Park, Ju H., 2016. "Finite-time H∞ static output control of Markov jump systems with an auxiliary approach," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 553-561.
    11. Liu, Yangfan & Ma, Yuechao & Wang, Yanning, 2018. "Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 341-357.
    12. Qi, Wenhai & Gao, Xianwen, 2016. "H∞ observer design for stochastic time-delayed systems with Markovian switching under partly known transition rates and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 80-97.
    13. Hao Liu & Peng Shi & Hamid Reza Karimi & Mohammed Chadli, 2016. "Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1433-1444, April.
    14. Ye, Dan & Yang, Xiang & Su, Lei, 2017. "Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 36-48.
    15. Wenping Xue & Kangji Li & Guohai Liu, 2016. "DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3027-3035, September.
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    Cited by:

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    3. Huang, Jun & Yang, Lin & Trinh, Hieu, 2021. "Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    4. Hamid Ghadiri & Hamed Khodadadi & Saleh Mobayen & Jihad H. Asad & Thaned Rojsiraphisal & Arthur Chang, 2021. "Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays," Mathematics, MDPI, vol. 9(19), pages 1-20, October.
    5. Abinandhitha, R. & Sakthivel, R. & Tatar, N. & Manikandan, R., 2022. "Anti-disturbance observer-based control for fuzzy chaotic semi-Markov jump systems with multiple disturbances and mixed actuator failures," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Gu, Yang & Shen, Mouquan & Ren, Yuesheng & Liu, Hongxia, 2020. "H∞ finite-time control of unknown uncertain systems with actuator failure," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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