Controller Design and Stability Analysis for a Class of Leader-Type Stochastic Nonlinear Systems

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Symmetry-Basel Pub Date : 2023-11-11 DOI:10.3390/sym15112049
Haiying Zhang
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Abstract

In this paper, the non-scaling backstepping approach is used to examine the controller design process and stability analysis of a class of leader-type stochastic nonlinear systems. By utilizing the non-scaling backstepping design method and Lyapunov method, the controller of the leader-type stochastic nonlinear system is derived. Different from the previous literature on controller design, we develop a more computationally efficient way for designing controllers because the scaling function in the coordinate transformation is not included. Meanwhile, the prescribed-time mean-square stabilization on the equilibrium and two important estimates are derived by combining the Lyapunov method with the matrix norm. Compared to the finite-time stabilization in other studies, the prescribed-time stabilization can determine the convergence time without relying on the initial value and has more real-world applicability. To illustrate the effectiveness of the controller derived in this paper, numerical examples are provided finally.
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一类先导型随机非线性系统的控制器设计与稳定性分析
本文采用非标度反演方法研究了一类先导型随机非线性系统的控制器设计过程和稳定性分析。利用无标度反步设计方法和李雅普诺夫方法,推导了导型随机非线性系统的控制器。与以往关于控制器设计的文献不同,我们开发了一种计算效率更高的控制器设计方法,因为不包括坐标变换中的缩放函数。同时,将李雅普诺夫方法与矩阵范数相结合,导出了平衡点的规定时间均方镇定性和两个重要估计。与其他研究的有限时间镇定相比,规定时间镇定可以不依赖于初始值来确定收敛时间,具有更强的现实适用性。最后给出了数值算例来说明本文所推导的控制器的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Symmetry-Basel
Symmetry-Basel MULTIDISCIPLINARY SCIENCES-
CiteScore
5.40
自引率
11.10%
发文量
2276
审稿时长
14.88 days
期刊介绍: Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.
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