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Volume 10
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Article

Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems

by
Yixuan Yuan
and
Junsheng Zhao
*
School of Mathematics Science, Liaocheng University, Liaocheng 252000, China
*
Author to whom correspondence should be addressed.
Processes 2022, 10(9), 1676; https://doi.org/10.3390/pr10091676
Submission received: 22 July 2022 / Revised: 16 August 2022 / Accepted: 20 August 2022 / Published: 23 August 2022
(This article belongs to the Special Issue Advances in Nonlinear and Stochastic System Control)
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Abstract

In this article, a new design method for an adaptive fast finite-time controller (FTC) is proposed for the finite-time stability (FTS) issue of a class of high-order stochastic nonlinear systems (HOSNSs) with unknown parameters. Using a power integrator technology and Lyapunov function approach, an adaptive state feedback controller is derived to ensure fast FTS of HOSNSs. The developed adaptive fast FTC is equipped with less settling time to obtain better steady-state accuracy compared with the traditional FTC. The effectiveness of the proposed adaptive control scheme is demonstrated by a numerical example.
Keywords: fast finite-time stability; adaptive control; high-order stochastic nonlinear systems; state feedback fast finite-time stability; adaptive control; high-order stochastic nonlinear systems; state feedback

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MDPI and ACS Style

Yuan, Y.; Zhao, J. Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems. Processes 2022, 10, 1676. https://doi.org/10.3390/pr10091676

AMA Style

Yuan Y, Zhao J. Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems. Processes. 2022; 10(9):1676. https://doi.org/10.3390/pr10091676

Chicago/Turabian Style

Yuan, Yixuan, and Junsheng Zhao. 2022. "Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems" Processes 10, no. 9: 1676. https://doi.org/10.3390/pr10091676

APA Style

Yuan, Y., & Zhao, J. (2022). Fast Finite-Time Stability and Its Application in Adaptive Control of High-Order Stochastic Nonlinear Systems. Processes, 10(9), 1676. https://doi.org/10.3390/pr10091676

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