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Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint

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  • Fang, Liandi
  • Ma, Li
  • Ding, Shihong
  • Zhao, Dean

Abstract

This paper considers the problem of finite-time stabilization in probability for a class of high-order stochastic nonlinear systems with output constraints in which the fractional powers are only required to be positive rather than not less than one. Based on a modified version of adding a power integrator technique and a novel tan-type barrier Lyapunov function, a systematic design approach is developed and a state-feedback controller is constructed. Rigorous mathematical proof shows that the origin of the system is finite-time stable in probability and the constraint requirement on the output is not violated. The effectiveness of the proposed finite-time control scheme is verified by a simulation example.

Suggested Citation

  • Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:63-79
    DOI: 10.1016/j.amc.2019.03.067
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    Cited by:

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    8. Dapeng Wang & Shaogang Liu & Youguo He & Jie Shen, 2021. "Barrier Lyapunov Function-Based Adaptive Back-Stepping Control for Electronic Throttle Control System," Mathematics, MDPI, vol. 9(4), pages 1-14, February.
    9. Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    10. Wang, Yuxiao & Cao, Yuting & Guo, Zhenyuan & Wen, Shiping, 2020. "Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    11. Yang, Chengyu & Li, Fei & Kong, Qingkai & Chen, Xiangyong & Wang, Jian, 2021. "Asynchronous fault-tolerant control for stochastic jumping singularly perturbed systems: An H∞ sliding mode control scheme," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    12. Linwu Shen & Qiang Chen & Meiling Tao & Xiongxiong He, 2019. "Adaptive Fixed-Time Sliding Mode Control for Uncertain Twin-Rotor System with Experimental Validation," Complexity, Hindawi, vol. 2019, pages 1-11, October.
    13. Zhang, Shuo & Liu, Lu & Xue, Dingyu, 2020. "Nyquist-based stability analysis of non-commensurate fractional-order delay systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).
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    15. Liu, Hui & Li, Xiaohua, 2023. "A prescribed-performance-based adaptive finite-time tracking control scheme circumventing the dependence on the system initial condition," Applied Mathematics and Computation, Elsevier, vol. 448(C).

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