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Prescribed tracking error fixed-time control of stochastic nonlinear systems

Author

Listed:
  • Yao, Yangang
  • Tan, Jieqing
  • Wu, Jian
  • Zhang, Xu
  • He, Lei

Abstract

The issue of prescribed tracking error fixed-time control of stochastic nonlinear systems is investigated in this article. Different from the conventional quartic Lyapunov function (LF) on tracking error, a novel LF based on two important tuning functions is constructed. By means of the fixed-time command filtered dynamic surface control (DSC) technique with the newly error compensating signals (ECSs), the designed controller can ensure that the tracking error and state tracking errors can be predicted in advance without any state transformation. Meanwhile, the problem of “curse of dimensionality” is avoided, and the filtering errors are effectively compensated for. Furthermore, an improved event-triggering mechanism (ETM) is designed to save network resources. A simulation result verifies the scheme developed.

Suggested Citation

  • Yao, Yangang & Tan, Jieqing & Wu, Jian & Zhang, Xu & He, Lei, 2022. "Prescribed tracking error fixed-time control of stochastic nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
  • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004982
    DOI: 10.1016/j.chaos.2022.112288
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    References listed on IDEAS

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    1. 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).
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    Cited by:

    1. Zhao, Xu & Fan, Qingsong & Huang, Haisong & Gao, Yang & Zhang, Dabin, 2023. "Practical finite-/fixed-time improved command-filtered backstepping control for nonlinear systems via immersion and invariance," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Liu, Xinxiao & Wang, Lijie & Liu, Yang, 2023. "Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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