17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper TuP07.2

Praly, Laurent (Ec. Nationale Superieure des Mines de Paris), Marconi, Lorenzo (Univ. of Bologna), Isidori, Alberto (Univ. di Roma)

A New Observer for an Unknown Harmonic Oscillator

Scheduled for presentation during the Regular Session "Control of Mechanical Systems" (TuP07), Tuesday, July 25, 2006, 15:45−16:10, Room H

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on June 23, 2024

Keywords Observers, Uncertain systems, Estimation of nonlinear systems

Abstract

This paper deals with the problem of asymptotically estimating amplitude, frequency and phase of a sinusoidal signal by adopting the theory of observers proposed by Kazantzis and Kravaris few years ago. The theory in question leads to an observer which is given by a linear Hurwitz system of suitable dimension whose state is processed by a nonlinear map to yield the desired estimates. Design of the observer and comparisons with others known methods in terms of measurement noise sensitivity are presented in the paper.