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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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    References listed on IDEAS

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    Cited by:

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    4. 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).
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    6. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    7. Yao, Wei & Wang, Chunhua & Sun, Yichuang & Zhou, Chao & Lin, Hairong, 2020. "Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    8. Li, Ping & Song, Zhibao & Wang, Zhen & Liu, Wenhui, 2020. "Fixed-time consensus for disturbed multiple Euler-Lagrange systems with connectivity preservation and quantized input," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    9. Wang, Yuxiao & Cao, Yuting & Guo, Zhenyuan & Huang, Tingwen & Wen, Shiping, 2020. "Event-based sliding-mode synchronization of delayed memristive neural networks via continuous/periodic sampling algorithm," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    10. Wang, Yingchun & Zhang, Jiaxin & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Finite-time adaptive neural control for nonstrict-feedback stochastic nonlinear systems with input delay and output constraints," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    11. Jia, Jinping & Dai, Hao & Li, Li & Zhang, Fandi, 2021. "Global sampled-data stabilization for a class of nonlinear systems with arbitrarily long input delays via a multi-rate control algorithm," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    12. 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.
    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).
    14. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    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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