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Finite-time tracking control for stochastic nonlinear systems with full state constraints

Author

Listed:
  • Zhang, Jing
  • Xia, Jianwei
  • Sun, Wei
  • Zhuang, Guangming
  • Wang, Zhen

Abstract

In this paper, an adaptive finite-time controller is constructed for stochastic nonlinear systems with parametric uncertainties. All the states in the systems are constrained in a bounded compact set. By constructing a tan-type Barrier Lyapunov Function, the scheme we proposed deals with the finite-time tracking control problem and all the state in the stochastic systems are not violated. Tracking error can converge into a small neighborhood of zero and all the signals in the closed-loop system are bounded. Simulation results demonstrate the effectiveness of the presented approach.

Suggested Citation

  • Zhang, Jing & Xia, Jianwei & Sun, Wei & Zhuang, Guangming & Wang, Zhen, 2018. "Finite-time tracking control for stochastic nonlinear systems with full state constraints," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 207-220.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:207-220
    DOI: 10.1016/j.amc.2018.05.040
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    References listed on IDEAS

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    Cited by:

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    12. Qi, Wenhai & Zong, Guangdeng & Cheng, Jun & Jiao, Ticao, 2019. "Robust finite-time stabilization for positive delayed semi-Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 139-152.
    13. Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    14. Min, Huifang & Xu, Shengyuan & Yu, Xin & Fei, Shumin & Cui, Guozeng, 2020. "Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    15. Wang, Zhichuang & Chen, Guoliang & Ba, Hezhen, 2019. "Stability analysis of nonlinear switched systems with sampled-data controllers," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 297-309.
    16. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    17. Li, Huijuan & Li, Wuquan & Gu, Jianzhong, 2022. "Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    18. Huang, Zhengguo & Xia, Jianwei & Wang, Jing & Wei, Yunliang & Wang, Zhen & Wang, Jian, 2019. "Mixed H∞/l2−l∞ state estimation for switched genetic regulatory networks subject to packet dropouts: A persistent dwell-time switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 198-212.
    19. 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).
    20. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    21. Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    22. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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