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Frequency determination in control applications: Excitation based approach

Alexander Stotsky (Institutionen för signaler och system, Reglerteknik)
IFAC Proceedings Volumes. 7th IFAC Symposium on Robust Control Design, ROCOND'12, Aalborg, 20-22 June 2012 (1474-6670). Vol. 7 (2012), p. 45-50.
[Konferensbidrag, refereegranskat]

New algorithms for estimation of the frequencies of oscillating waveform signals are described. Model of the signals is presented in the form of linear difference equation with unknown coefficients, which define the frequencies and amplitudes. Coefficients are estimated utilizing the property of the persistence of excitation of oscillating signals. Exponentially damped and oscillating signals are described in a unified framework. A property of excitation is proved for exponentially damped signal that contains a single frequency via diagonal dominance of an information matrix. Two applications of this frequency estimation technique are considered. The first one is filtering of the wind speed signal in wind turbine control applications, and the second one is the frequency estimation of exponentially damped signal motivated by the engine knock detection applications.

Nyckelord: Engine knock frequency, Exponentially damped signal, Frequency estimation, Persistence of excitation, Projection algorithm, Strictly diagonally dominant matrix, Wind speed model



Denna post skapades 2012-10-03.
CPL Pubid: 164279

 

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Institutioner (Chalmers)

Institutionen för signaler och system, Reglerteknik

Ämnesområden

Elektroteknik och elektronik

Chalmers infrastruktur