一类严格反馈随机非线性系统的自适应模糊定时控制

IF 3.2 Q2 AUTOMATION & CONTROL SYSTEMS Systems Science & Control Engineering Pub Date : 2022-03-15 DOI:10.1080/21642583.2022.2048320
Nan Wang, Zhumu Fu, Fazhan Tao, Shuzhong Song, Min Ma
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引用次数: 3

摘要

研究严格反馈随机非线性系统的定时跟踪问题。与以往的结果不同,本文给出了随机非线性系统的实用定时有界定理。随机非线性系统的未知函数用具有全称逼近性的模糊逻辑系统(FLS)逼近。然后,基于固定时间有界定理,采用反推法设计了一种新的随机非线性系统自适应模糊固定时间控制器。所设计的控制器保证了随机非线性系统的状态在固定时间内半全局收敛于一个包含紧集的平衡点。最后,给出了一个数值算例和一个车辆跟踪模型算例来说明所提出的策略。
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Adaptive fuzzy fixed-time control for a class of strict-feedback stochastic nonlinear systems
This paper studies fixed-time tracking problems for stochastic nonlinear systems in strict-feedback form. Different from previous results, the practical fixed-time bounded theorem for stochastic nonlinear systems is given. The unknown functions of the stochastic nonlinear systems are approximated by the Fuzzy logic system (FLS) which has a universal approximation. Then by using a back-stepping method, a novel adaptive fuzzy fixed-time controller is designed for stochastic nonlinear systems based on the fixed-time bounded theorem. The states of the stochastic nonlinear systems are guaranteed to converge into an equilibrium point contained compact set semi-globally in fixed-time by the designed controller. Finally, a numerical example and a vehicle tracking model example are provided to illustrate the proposed strategy.
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来源期刊
Systems Science & Control Engineering
Systems Science & Control Engineering AUTOMATION & CONTROL SYSTEMS-
CiteScore
9.50
自引率
2.40%
发文量
70
审稿时长
29 weeks
期刊介绍: Systems Science & Control Engineering is a world-leading fully open access journal covering all areas of theoretical and applied systems science and control engineering. The journal encourages the submission of original articles, reviews and short communications in areas including, but not limited to: · artificial intelligence · complex systems · complex networks · control theory · control applications · cybernetics · dynamical systems theory · operations research · systems biology · systems dynamics · systems ecology · systems engineering · systems psychology · systems theory
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