Adaptive fuzzy command filtered control for asymmetric dynamic constrained nonlinear systems

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-08 DOI:10.1016/j.cnsns.2024.108513

Fan Yang , Meng Li , Yong Chen , Zhangyong Chen

引用次数: 0

Abstract

In this paper, the issue of tracking control for nonlinear systems under external disturbances and asymmetric states-time-related full-state constraints imposed dynamically is studied. An adaptive fuzzy command filtered control method is developed. Firstly, the nonlinear nonstrict feedback system subjected to unknown disturbances and dynamic full-state constraints is modeled. Then, a fuzzy state observer is framed in order to estimate the unmeasured states accurately. Thirdly, a log-type nonlinear mapping barrier function is presented to map the original system under dynamic constraints to a new affine system without constraints. Furthermore, a command filter based and fuzzy observer based adaptive fuzzy tracking control scheme is designed to guarantee the boundedness of all signals in the closed-loop system. Eventually, two numerical simulations illustrate the effectiveness of the algorithm.

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非对称动态约束非线性系统的自适应模糊命令滤波控制

本文研究了外部扰动和非对称状态下非线性系统的跟踪控制问题——动态施加与时间相关的全状态约束。提出了一种自适应模糊命令滤波控制方法。首先，对受未知扰动和动态全状态约束的非线性非严格反馈系统进行建模。然后，构造一个模糊状态观测器，以准确估计未测量状态。第三，提出了一个对数型非线性映射势垒函数，将有动态约束的原系统映射为无约束的新仿射系统。在此基础上，设计了一种基于命令滤波和模糊观测器的自适应模糊跟踪控制方案，以保证闭环系统中所有信号的有界性。最后，通过两个数值仿真验证了该算法的有效性。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.