利用 HOSM 微分器为具有未知输入的连续 LPV 系统设计新的 H∞ 观察器

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-03-24 DOI:10.1093/imamci/dnae008

Luc Meyer

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引用次数: 0

摘要

本文的主要贡献在于为噪声线性参数变化（LPV）系统开发了 $H_{\infty }$ 状态和未知输入（UI）观测器。这些观测器的构建是为了做到无偏（特别是状态估计误差与未知输入解耦），并且在扰动（假定具有有限能量）和估计误差之间具有最小的 $L_{2}$ 转移。与文献中开发的等效观测器不同，本观测器放宽了系统矩阵上广泛使用的秩条件，以解耦 UI。为此，需要使用高阶滑模微分器进行高阶推导。此外，还给出了一种在多点形式下设计 LPV 系统观测器增益的方法。最后，三个例子说明了理论贡献的某些方面，并将这项工作与现有工作进行了比较。

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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A new H∞ observer for continuous LPV systems with unknown inputs using an HOSM differentiator

The main contribution of this paper is the development of $H_{\infty }$ state and unknown input (UI) observers for noisy linear parameter-varying (LPV) systems. The observers are constructed in order to be unbiased (in particular the state estimation error is decoupled from the UI) and with a minimum $L_{2}$ transfer between the perturbations (that are assumed to be with finite energy) and the estimation errors. Contrary to equivalent observers developed in the literature, the present one relaxes a widely used rank condition on the system matrices for decoupling the UI. In order to do so, high-order derivation is needed, which is done using a high-order sliding modes differentiator. A method is given to design observer gains for LPV systems under polytopic form. Finally, three examples illustrate some aspects of the theoretical contributions, and compare this work to the existing ones.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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