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arXiv · 1306.4807

Nonlinear continuous integral-derivative observer

Xinhua Wang·Bijan Shirinzadeh
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Abstract

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.

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Xinhua Wang, Bijan Shirinzadeh. 2013-06-20. Nonlinear continuous integral-derivative observer. https://doi.org/10.1007/s11071-014-1341-1

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