不确定MIMO随机系统的齐次非线性事件触发扩展状态观测器

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-23 DOI:10.1016/j.cnsns.2025.108827

Zijian Xiao, Xiaohua Liu, Ze-Hao Wu, Pengyu Zeng, Zhongwen Liang

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引用次数: 0

摘要

本文针对一类不确定的多输入多输出（MIMO）随机系统，设计了由有限时间稳定系统构建的同构非线性事件触发扩展状态观测器（ESO）。每个子系统都受到非线性未建模动态、有界噪声和彩色噪声的非线性耦合效应的影响，这些噪声被视为随机总干扰。为设计每个子系统的同质非线性事件触发 ESO，开发了一种事件发生器，它能保证随机系统的每个样本路径解的正最小执行时间。通过严格的理论证明，每个子系统的不可测状态和随机总干扰的估计误差几乎肯定收敛。此外，还提供了一些数值模拟来验证理论结果。

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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Homogeneous nonlinear event-triggered extended state observers for uncertain MIMO random systems

In this paper, homogeneous nonlinear event-triggered extended state observers (ESOs) constructed from finite-time stable systems are designed for a class of uncertain multi-input multi-output (MIMO) random systems. Each subsystem is subject to the nonlinear coupling effect of nonlinear unmodeled dynamics, bounded noise, and colored noise, which is regarded as the random total disturbance. An event generator with a guaranteed positive minimum inter-execution time for every sample path solution of the random systems, is developed for the design of homogeneous nonlinear event-triggered ESO for each subsystem. The almost sure convergence of estimation errors of unmeasurable states and random total disturbance of each subsystem is demonstrated with a rigorous theoretical proof. Some numerical simulations are provided to authenticate the theoretical result.

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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.