Observer Design and State-Feedback Stabilization for Nonlinear Systems via Equilibrium Manifold Expansion Linearization

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-12 DOI:10.1007/s12346-024-01115-8

Tianjian Hou, Jun Zhou

引用次数: 0

Abstract

Linearization remodeling and state-feedback control for a class of autonomous nonlinear systems based on equilibrium manifold expansion (EME) are visited and explicated in this paper, including linearization approximation, state-feedback stabilization and state estimation. More precisely, firstly, EME linearized remodels of nonlinear systems are explained and their existence is validated rigorously; secondly, EME-based state-feedback control and observer design are developed analytically with EME remodeling and gain scheduling; thirdly, stabilization under EME-based state feedback and observers are tackled, respectively; finally, feasibility and efficiency of the EME approach are illustrated by numerical simulations.

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通过平衡漫域展开线性化实现非线性系统的观测器设计和状态反馈稳定

本文考察并阐述了基于平衡流形展开（EME）的一类自主非线性系统的线性化重塑和状态反馈控制，包括线性化近似、状态反馈稳定和状态估计。更确切地说，首先解释了非线性系统的 EME 线性化重塑，并严格验证了其存在性；其次，利用 EME 重塑和增益调度分析了基于 EME 的状态反馈控制和观测器设计；第三，分别解决了基于 EME 的状态反馈和观测器下的稳定问题；最后，通过数值模拟说明了 EME 方法的可行性和效率。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.