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arXiv 1306.4807eess.SYcs.SYmath.DS
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非线性连续积分-导数观测器

Nonlinear continuous integral-derivative observer

Department of Mechanical and Aerospace Engineering, Monash University(莫纳什大学机械与航空航天工程系)

Xinhua Wang, Bijan Shirinzadeh

AI总结:

本文提出一种高阶非线性连续积分-导数观测器,基于有限时间稳定性与奇异性扰动技术,实现信号多积分与导数的同步估计,具有有限时间稳定性、参数易选、抗噪强和无漂移等优势。

摘要:

本文提出了一种基于有限时间稳定性和奇异性扰动技术的高阶非线性连续积分-导数观测器。该观测器不仅能获取信号的多积分,还能估计导数。给出了确保所提积分-导数观测器有限时间稳定性的条件,并分析了其时域内的稳定性和鲁棒性。所提积分-导数观测器的优点包括其同步估计积分和导数、有限时间稳定性、参数易选、足够的随机噪声抑制能力和几乎无漂移现象。理论结果通过计算分析和仿真得到验证。

英文摘要:

In this paper, a high-order nonlinear continuous integral-derivative observer is presented based on finite-time stability and singular perturbation technique. The proposed integral-derivative observer can not only obtain the multiple integrals of a signal, but can also estimate the derivatives. Conditions are given ensuring finite-time stability for the presented integral-derivative observer, and the stability and robustness in time domain are analysed. The merits of the presented integral-derivative observer include its synchronous estimation of integrals and derivatives, finite-time stability, ease of parameters selection, sufficient stochastic noises rejection and almost no drift phenomenon. The theoretical results are confirmed by computational analysis and simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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