Adaptive Fixed-Time Control for High-Order Stochastic Nonlinear Time-Delay Systems: An Improved Lyapunov–Krasovskii Function | IEEE Journals & Magazine | IEEE Xplore

Adaptive Fixed-Time Control for High-Order Stochastic Nonlinear Time-Delay Systems: An Improved Lyapunov–Krasovskii Function


Abstract:

In this article, the adaptive tracking control problem is considered for high-order stochastic nonlinear time-delay systems in fixed-time. Being different from existing r...Show More

Abstract:

In this article, the adaptive tracking control problem is considered for high-order stochastic nonlinear time-delay systems in fixed-time. Being different from existing results, an improved Lyapunov–Krasovskii function is designed, which can not only compensate for the time-delay term but also remove the obstacle from the high-order term. Due to the introduction of the Lyapunov–Krasovskii function into the total Lyapunov function, it makes it difficult to stabilize the controlled system within a fixed-time interval. L’Hopital’s rule is used to determine the boundedness of the Lyapunov–Krasovskii function, and the fixed-time boundedness of the integral functions can be inferred. By utilizing the fixed-time Lyapunov stability theorem, it is proved that the controlled system is semi-globally practical fixed-time stable (SGPFS), all the closed-loop signals (CLSs) are bounded within the fixed-time interval, and the tracking error converges into a small region around zero. The validity of the designed scheme is substantiated via simulation results.
Published in: IEEE Transactions on Cybernetics ( Volume: 54, Issue: 2, February 2024)
Page(s): 776 - 786
Date of Publication: 21 December 2023

ISSN Information:

PubMed ID: 38127614

Funding Agency:


Contact IEEE to Subscribe

References

References is not available for this document.