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 May 27, 2023

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.