Abstract
The problem of estimating the time derivatives of a bounded measured periodic signal of known period T affected by an unknown bounded noise is addressed. As it is known when the measurements are not affected by noise, linear high-gain observers can provide arbitrary small estimation errors for the time derivatives by increasing the observer gains. In the presence of noise there is a limitation on the gains to be used beyond which increasing the gains increases the estimation error as well. We propose a robust adaptive observer which improves the performance of a linear high gain observer in the presence of measurement noise, by estimating a finite number of terms in the periodic signal Fourier expansion.
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© 2001 Springer-Verlag London Limited
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Marino, R., Santosuosso, G.L. (2001). Nonlinear observers of time derivatives from noisy measurements of periodic signals. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the year 2000 volume 2. Lecture Notes in Control and Information Sciences, vol 259. Springer, London. https://doi.org/10.1007/BFb0110296
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DOI: https://doi.org/10.1007/BFb0110296
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