Frequency determination in control applications: Excitation based approach
Paper in proceedings, 2012

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.

Strictly diagonally dominant matrix

Frequency estimation

Exponentially damped signal

Wind speed model

Projection algorithm

Engine knock frequency

Persistence of excitation


Alexander Stotsky

Chalmers, Signals and Systems, Systems and control, Automatic Control

IFAC Proceedings Volumes (IFAC-PapersOnline)

14746670 (ISSN)

Vol. 7 PART 1 45-50

Subject Categories

Electrical Engineering, Electronic Engineering, Information Engineering





More information