Prescribed tracking error fixed-time control of stochastic nonlinear systems

Yangang Yao, Jieqing Tan, Jian Wu, Xu Zhang and Lei He

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

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.

Keywords: Switching Lyapunov function; Fixed-time control; Stochastic non-strict feedback nonlinear systems; Event-triggered control (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004982

DOI: 10.1016/j.chaos.2022.112288

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